TSTP Solution File: ALG431-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG431-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 12:10:55 EDT 2022
% Result : Timeout 300.04s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG431-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 9 06:04:34 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.87/1.27 *** allocated 10000 integers for termspace/termends
% 0.87/1.27 *** allocated 10000 integers for clauses
% 0.87/1.27 *** allocated 10000 integers for justifications
% 0.87/1.27 *** allocated 15000 integers for termspace/termends
% 0.87/1.27 *** allocated 22500 integers for termspace/termends
% 0.87/1.27 Bliksem 1.12
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Automatic Strategy Selection
% 0.87/1.27
% 0.87/1.27 Clauses:
% 0.87/1.27 [
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.87/1.27 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.87/1.27 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.27 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.87/1.27 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.27 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.87/1.27 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.87/1.27 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.27 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.27 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.27 X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.87/1.27 Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.87/1.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.27 Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.87/1.27 X ), Z, X ) ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.87/1.27 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.87/1.27 , X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.87/1.27 , X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.27 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.27 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.87/1.27 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.87/1.27 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.87/1.27 X ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.27 , Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.27 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.87/1.27 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.27 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.27 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ), =( Z, Y ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.27 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.87/1.27 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.87/1.27 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.87/1.27 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.87/1.27 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.27 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.27 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.27 , X ) ) ), =( Y, Z ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.27 , X ) ) ), =( Y, Z ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.27 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.87/1.27 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.87/1.27 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.27 , X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Opdivmod'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.87/1.27 'c_Pair'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 'tc_Polynomial_Opoly'( X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.87/1.27 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.87/1.27 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.27 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.87/1.27 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.87/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.87/1.27 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.87/1.27 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.27 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.87/1.27 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.87/1.27 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.87/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.87/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.27 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.87/1.27 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.87/1.27 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.87/1.27 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.27 T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.27 X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.27 T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.27 T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.27 'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.87/1.27 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.87/1.27 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.87/1.27 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.87/1.27 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.87/1.27 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.87/1.27 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.27 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.87/1.27 X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.87/1.27 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.87/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.27 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.27 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.27 Y, X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.87/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.87/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.27 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.87/1.27 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.27 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.27 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.27 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.87/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.87/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.87/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.87/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 Y, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 Y, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.87/1.27 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.27 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.87/1.27 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.87/1.27 , X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.27 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.27 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.28 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.87/1.28 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.28 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.87/1.28 X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.28 , X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.28 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.87/1.28 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.87/1.28 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.87/1.28 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.87/1.28 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.87/1.28 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.87/1.28 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.87/1.28 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.28 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.87/1.28 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.87/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.87/1.28 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.87/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Odegree'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'(
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 0.87/1.28 ), 'c_Polynomial_Odegree'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.87/1.28 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , Y, X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , Z, X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , Z, X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.87/1.28 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.87/1.28 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.87/1.28 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Polynomial_Osmult'( T,
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.87/1.28 ), 'c_Polynomial_OpCons'( Y,
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.87/1.28 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.28 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.87/1.28 , T, X ), X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.87/1.28 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.87/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.87/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.28 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.28 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.28 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.28 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.87/1.28 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.87/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.87/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.87/1.28 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.87/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.87/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.28 , U, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.28 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.87/1.28 , T, X ), X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.87/1.28 X ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.87/1.28 X ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.87/1.28 X ) ) ), =( Y, T ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.87/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.87/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.87/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.87/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.87/1.28 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.87/1.28 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.87/1.28 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.87/1.28 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.87/1.28 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.87/1.28 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.87/1.28 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.87/1.28 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ),
% 0.87/1.28 'c_Polynomial_Ocoeff'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.28 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.28 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.87/1.28 , X ), W, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.87/1.28 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.87/1.28 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.87/1.28 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.87/1.28 , T, X ), X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y,
% 0.87/1.28 'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~(
% 0.87/1.28 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.87/1.28 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.87/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.28 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , Z, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.87/1.28 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , Z, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.87/1.28 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , T, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , T, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.28 Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.87/1.28 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.87/1.28 W, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.87/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.87/1.28 , X ), T, X ), W, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.87/1.28 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.87/1.28 W, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.87/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.87/1.28 , X ), W, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.87/1.28 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.87/1.28 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.87/1.28 Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.87/1.28 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.28 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.28 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.87/1.28 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( Z, Y, T, U, X ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_OpCons'( W, Z, X ), Y,
% 0.87/1.28 'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.87/1.28 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 0.87/1.28 'c_Polynomial_Odegree'( Y, X ), X ), X ), T, X ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.87/1.28 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Odivide'(
% 0.87/1.28 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.87/1.28 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 0.87/1.28 'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ), 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.87/1.28 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.28 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.28 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 0.87/1.28 , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.87/1.28 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.28 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 Y, T, X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.87/1.28 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.87/1.28 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.87/1.28 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.87/1.28 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.87/1.28 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.87/1.28 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.87/1.28 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.28 ), Y ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.87/1.28 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.87/1.28 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.87/1.28 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.87/1.28 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 0.87/1.28 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~(
% 0.87/1.28 'class_Int_Oring__char__0'( 't_a' ) ), =( 'c_Polynomial_Odegree'( 'v_p',
% 0.87/1.28 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.87/1.28 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.87/1.28 X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.28 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.87/1.28 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.87/1.28 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.87/1.28 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.87/1.28 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.87/1.28 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.28 , Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.87/1.28 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.87/1.28 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.87/1.28 ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.87/1.28 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.87/1.28 X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.28 , X ), Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.87/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.87/1.28 X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.87/1.28 ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.87/1.28 ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.87/1.28 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.87/1.28 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.87/1.28 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.87/1.28 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 0.87/1.28 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.87/1.28 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.87/1.28 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.87/1.28 X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.87/1.28 X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.28 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.87/1.28 , X ), X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.28 , T, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.28 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.87/1.28 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.87/1.28 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.28 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.28 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.28 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.87/1.28 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.87/1.28 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.87/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.87/1.28 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.87/1.28 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.87/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.87/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.87/1.28 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.87/1.28 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.28 ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.87/1.28 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.87/1.28 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 0.87/1.28 , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.87/1.28 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.87/1.28 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.87/1.28 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Opdivmod'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Pair'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 0.87/1.28 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.87/1.28 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.28 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.87/1.28 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.87/1.28 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.87/1.28 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.87/1.28 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.87/1.28 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.87/1.28 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.87/1.28 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.87/1.28 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~(
% 0.87/1.28 'class_Int_Oring__char__0'( 't_a' ) ), ~( =( 'v_p', 'c_Polynomial_OpCons'(
% 0.87/1.28 X, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' )
% 0.87/1.28 ) ), 'v_thesis____' ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.87/1.28 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.28 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~(
% 0.87/1.28 'class_Int_Oring__char__0'( 't_a' ) ), =( 'c_Polynomial_Odegree'( 'v_p',
% 0.87/1.28 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ 'class_Int_Oring__char__0'( 't_a' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oidom'( 't_a' ) ],
% 0.87/1.28 [ ~( 'v_thesis____' ) ],
% 0.87/1.28 [ ~( =( 'v_p', 'c_Polynomial_OpCons'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ) ) ), 'v_thesis____' ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ogroup__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Oring'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Odvd'( X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ), 'class_OrderedGroup_Ogroup__add'(
% 0.87/1.28 X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ), 'class_Ring__and__Field_Oring'(
% 0.87/1.28 X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ), 'class_HOL_Ozero'( X ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ),
% 0.87/1.28 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.87/1.28 ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.87/1.28 ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.87/1.28 ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.87/1.28 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.87/1.28 ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.87/1.28 ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.87/1.28 ],
% 0.87/1.28 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.87/1.28 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.87/1.28 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.87/1.28 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.87/1.28 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.87/1.28 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.28 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.28 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.87/1.28 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.87/1.28 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.28 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.87/1.28 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.28 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.87/1.28 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.87/1.28 X ) ) ],
% 0.87/1.28 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 0.87/1.28 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 0.87/1.28 ] .
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 percentage equality = 0.267288, percentage horn = 0.890274
% 0.87/1.28 This is a problem with some equality
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Options Used:
% 0.87/1.28
% 0.87/1.28 useres = 1
% 0.87/1.28 useparamod = 1
% 0.87/1.28 useeqrefl = 1
% 0.87/1.28 useeqfact = 1
% 0.87/1.28 usefactor = 1
% 0.87/1.28 usesimpsplitting = 0
% 0.87/1.28 usesimpdemod = 5
% 0.87/1.28 usesimpres = 3
% 0.87/1.28
% 0.87/1.28 resimpinuse = 1000
% 0.87/1.28 resimpclauses = 20000
% 0.87/1.28 substype = eqrewr
% 0.87/1.28 backwardsubs = 1
% 0.87/1.28 selectoldest = 5
% 0.87/1.28
% 0.87/1.28 litorderings [0] = split
% 0.87/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.28
% 0.87/1.28 termordering = kbo
% 0.87/1.28
% 0.87/1.28 litapriori = 0
% 0.87/1.28 termapriori = 1
% 0.87/1.28 litaposteriori = 0
% 0.87/1.28 termaposteriori = 0
% 0.87/1.28 demodaposteriori = 0
% 0.87/1.28 ordereqreflfact = 0
% 0.87/1.28
% 0.87/1.28 litselect = negord
% 0.87/1.28
% 0.87/1.28 maxweight = 15
% 0.87/1.28 maxdepth = 30000
% 0.87/1.28 maxlength = 115
% 0.87/1.28 maxnrvars = 195
% 0.87/1.28 excuselevel = 1
% 0.87/1.28 increasemaxweight = 1
% 0.87/1.28
% 0.87/1.28 maxselected = 10000000
% 0.87/1.28 maxnrclauses = 10000000
% 0.87/1.28
% 0.87/1.28 showgenerated = 0
% 0.87/1.28 showkept = 0
% 0.87/1.28 showselected = 0
% 0.87/1.28 showdeleted = 0
% 0.87/1.28 showresimp = 1
% 0.87/1.28 showstatus = 2000
% 0.87/1.28
% 0.87/1.28 prologoutput = 1
% 0.87/1.28 nrgoals = 5000000
% 0.87/1.28 totalproof = 1
% 0.87/1.28
% 0.87/1.28 Symbols occurring in the translation:
% 0.87/1.28
% 0.87/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.28 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.87/1.28 ! [4, 1] (w:0, o:58, a:1, s:1, b:0),
% 0.87/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.28 'class_Divides_Osemiring__div' [40, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.87/1.28 'c_Divides_Odiv__class_Omod' [44, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.87/1.28 'c_HOL_Oplus__class_Oplus' [45, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.87/1.28 'class_Ring__and__Field_Oidom' [46, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.87/1.28 'c_Polynomial_Osmult' [48, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.87/1.28 'c_Polynomial_Odegree' [49, 2] (w:1, o:156, a:1, s:1, b:0),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero' [50, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.87/1.28 'class_OrderedGroup_Opordered__ab__group__add' [51, 1] (w:1, o:68, a:
% 0.87/1.28 1, s:1, b:0),
% 0.92/1.61 'c_HOL_Ominus__class_Ominus' [54, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.92/1.61 'c_HOL_Oord__class_Oless' [57, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.92/1.61 'c_Pair' [59, 4] (w:1, o:184, a:1, s:1, b:0),
% 0.92/1.61 'class_OrderedGroup_Oab__semigroup__idem__mult' [62, 1] (w:1, o:69
% 0.92/1.61 , a:1, s:1, b:0),
% 0.92/1.61 'c_HOL_Otimes__class_Otimes' [63, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Oordered__field' [64, 1] (w:1, o:71, a:1, s:1
% 0.92/1.61 , b:0),
% 0.92/1.61 'class_Ring__and__Field_Odivision__by__zero' [65, 1] (w:1, o:77, a:1
% 0.92/1.61 , s:1, b:0),
% 0.92/1.61 'c_HOL_Oinverse__class_Odivide' [66, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.92/1.61
% 0.92/1.61 'class_Ring__and__Field_Ocomm__semiring__0' [67, 1] (w:1, o:74, a:1
% 0.92/1.61 , s:1, b:0),
% 0.92/1.61 'c_Polynomial_OpCons' [68, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Oordered__idom' [69, 1] (w:1, o:78, a:1, s:1
% 0.92/1.61 , b:0),
% 0.92/1.61 'tc_Polynomial_Opoly' [71, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.92/1.61 'c_Polynomial_Opos__poly' [72, 2] (w:1, o:157, a:1, s:1, b:0),
% 0.92/1.61 'c_Suc' [75, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Oordered__ring__strict' [76, 1] (w:1, o:81
% 0.92/1.61 , a:1, s:1, b:0),
% 0.92/1.61 'class_Int_Onumber__ring' [77, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Oordered__semidom' [80, 1] (w:1, o:85, a:1
% 0.92/1.61 , s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Ocomm__semiring__1' [81, 1] (w:1, o:75, a:1
% 0.92/1.61 , s:1, b:0),
% 0.92/1.61 'c_Ring__and__Field_Odvd__class_Odvd' [82, 3] (w:1, o:171, a:1, s:1
% 0.92/1.61 , b:0),
% 0.92/1.61 'class_OrderedGroup_Oab__group__add' [83, 1] (w:1, o:86, a:1, s:1, b:
% 0.92/1.61 0),
% 0.92/1.61 'c_HOL_Ouminus__class_Ouminus' [84, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.92/1.61 'class_OrderedGroup_Ogroup__add' [85, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.92/1.61
% 0.92/1.61 'class_Ring__and__Field_Oordered__semiring__strict' [86, 1] (w:1, o:
% 0.92/1.61 88, a:1, s:1, b:0),
% 0.92/1.61 'c_HOL_Oabs__class_Oabs' [87, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.92/1.61 'c_Divides_Odiv__class_Odiv' [88, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.92/1.61 'c_HOL_Oone__class_Oone' [89, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Oring' [91, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.92/1.61 'class_RealVector_Oreal__normed__vector' [92, 1] (w:1, o:91, a:1, s:1
% 0.92/1.61 , b:0),
% 0.92/1.61 'c_HOL_Osgn__class_Osgn' [93, 2] (w:1, o:160, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Ofield' [94, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.92/1.61 'class_RealVector_Oreal__vector' [95, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.92/1.61
% 0.92/1.61 'c_RealVector_OscaleR__class_OscaleR' [96, 3] (w:1, o:173, a:1, s:1
% 0.92/1.61 , b:0),
% 0.92/1.61 'c_Polynomial_Ocoeff' [97, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.92/1.61 'class_Orderings_Olinorder' [98, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.92/1.61 'c_Polynomial_Opdivmod__rel' [102, 5] (w:1, o:185, a:1, s:1, b:0),
% 0.92/1.61 'class_Lattices_Oboolean__algebra' [104, 1] (w:1, o:95, a:1, s:1, b:0
% 0.92/1.61 ),
% 0.92/1.61 'c_Polynomial_Opdivmod' [109, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Osgn__if' [110, 1] (w:1, o:97, a:1, s:1, b:0)
% 0.92/1.61 ,
% 0.92/1.61 'tc_nat' [111, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Odvd' [112, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Ocomm__ring' [113, 1] (w:1, o:72, a:1, s:1
% 0.92/1.61 , b:0),
% 0.92/1.61 'class_Divides_Oring__div' [117, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.92/1.61 'class_OrderedGroup_Oab__semigroup__mult' [118, 1] (w:1, o:99, a:1
% 0.92/1.61 , s:1, b:0),
% 0.92/1.61 'class_RealVector_Oreal__normed__algebra' [119, 1] (w:1, o:100, a:1
% 0.92/1.61 , s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Ocomm__semiring' [122, 1] (w:1, o:76, a:1, s:
% 0.92/1.61 1, b:0),
% 0.92/1.61 'class_OrderedGroup_Olordered__ab__group__add' [123, 1] (w:1, o:101
% 0.92/1.61 , a:1, s:1, b:0),
% 0.92/1.61 'class_OrderedGroup_Opordered__ab__group__add__abs' [124, 1] (w:1, o:
% 0.92/1.61 102, a:1, s:1, b:0),
% 0.92/1.61 'class_HOL_Ozero' [125, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.92/1.61 'class_HOL_Oeq' [126, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.92/1.61 'c_HOL_Oeq__class_Oeq' [127, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.92/1.61 'c_Polynomial_Omonom' [129, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.92/1.61 'c_Polynomial_Opoly__gcd' [130, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.92/1.61 'class_Ring__and__Field_Ocomm__ring__1' [131, 1] (w:1, o:73, a:1, s:1
% 0.92/1.61 , b:0),
% 7.63/7.99 'class_OrderedGroup_Ocomm__monoid__add' [132, 1] (w:1, o:103, a:1, s:
% 7.63/7.99 1, b:0),
% 7.63/7.99 'class_RealVector_Oreal__normed__field' [133, 1] (w:1, o:104, a:1, s:
% 7.63/7.99 1, b:0),
% 7.63/7.99 'class_Ring__and__Field_Oabs__if' [134, 1] (w:1, o:105, a:1, s:1, b:0
% 7.63/7.99 ),
% 7.63/7.99 'class_OrderedGroup_Olordered__ab__group__add__abs' [135, 1] (w:1, o:
% 7.63/7.99 106, a:1, s:1, b:0),
% 7.63/7.99 'c_Polynomial_Osynthetic__div' [136, 3] (w:1, o:180, a:1, s:1, b:0),
% 7.63/7.99
% 7.63/7.99 'c_Polynomial_Opoly' [137, 3] (w:1, o:181, a:1, s:1, b:0),
% 7.63/7.99 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [141, 3]
% 7.63/7.99 (w:1, o:182, a:1, s:1, b:0),
% 7.63/7.99 'class_SEQ_Obanach' [142, 1] (w:1, o:116, a:1, s:1, b:0),
% 7.63/7.99 'c_Transcendental_Oexp' [143, 2] (w:1, o:161, a:1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Omonoid__mult' [144, 1] (w:1, o:117, a:1, s:1, b:
% 7.63/7.99 0),
% 7.63/7.99 'class_OrderedGroup_Ocomm__monoid__mult' [145, 1] (w:1, o:118, a:1
% 7.63/7.99 , s:1, b:0),
% 7.63/7.99 'class_Orderings_Oorder' [146, 1] (w:1, o:119, a:1, s:1, b:0),
% 7.63/7.99 'class_Orderings_Opreorder' [147, 1] (w:1, o:120, a:1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Oab__semigroup__add' [148, 1] (w:1, o:121, a:1
% 7.63/7.99 , s:1, b:0),
% 7.63/7.99 'class_Ring__and__Field_Osemiring' [149, 1] (w:1, o:107, a:1, s:1, b:
% 7.63/7.99 0),
% 7.63/7.99 'class_OrderedGroup_Opordered__comm__monoid__add' [150, 1] (w:1, o:
% 7.63/7.99 122, a:1, s:1, b:0),
% 7.63/7.99 'class_RealVector_Oreal__normed__algebra__1' [151, 1] (w:1, o:108, a:
% 7.63/7.99 1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Ocancel__ab__semigroup__add' [152, 1] (w:1, o:123
% 7.63/7.99 , a:1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Ocancel__semigroup__add' [153, 1] (w:1, o:124, a:
% 7.63/7.99 1, s:1, b:0),
% 7.63/7.99 'class_RealVector_Oreal__algebra' [154, 1] (w:1, o:109, a:1, s:1, b:0
% 7.63/7.99 ),
% 7.63/7.99 'c_Polynomial_Opcompose' [156, 3] (w:1, o:175, a:1, s:1, b:0),
% 7.63/7.99 'class_RealVector_Oreal__field' [157, 1] (w:1, o:110, a:1, s:1, b:0)
% 7.63/7.99 ,
% 7.63/7.99 'class_Ring__and__Field_Opordered__ring' [160, 1] (w:1, o:112, a:1
% 7.63/7.99 , s:1, b:0),
% 7.63/7.99 'class_Ring__and__Field_Oordered__comm__semiring__strict' [163, 1]
% 7.63/7.99 (w:1, o:111, a:1, s:1, b:0),
% 7.63/7.99 't_a' [164, 0] (w:1, o:51, a:1, s:1, b:0),
% 7.63/7.99 'class_Int_Oring__char__0' [165, 1] (w:1, o:125, a:1, s:1, b:0),
% 7.63/7.99 'v_p' [166, 0] (w:1, o:52, a:1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Oordered__ab__group__add' [167, 1] (w:1, o:67, a:
% 7.63/7.99 1, s:1, b:0),
% 7.63/7.99 'class_Ring__and__Field_Oring__no__zero__divisors' [168, 1] (w:1, o:
% 7.63/7.99 96, a:1, s:1, b:0),
% 7.63/7.99 'class_Ring__and__Field_Omult__zero' [169, 1] (w:1, o:113, a:1, s:1
% 7.63/7.99 , b:0),
% 7.63/7.99 'class_Ring__and__Field_Ozero__neq__one' [170, 1] (w:1, o:114, a:1
% 7.63/7.99 , s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [171, 1]
% 7.63/7.99 (w:1, o:126, a:1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [172, 1]
% 7.63/7.99 (w:1, o:127, a:1, s:1, b:0),
% 7.63/7.99 'class_RealVector_Oreal__normed__div__algebra' [173, 1] (w:1, o:115
% 7.63/7.99 , a:1, s:1, b:0),
% 7.63/7.99 'class_Ring__and__Field_Ono__zero__divisors' [175, 1] (w:1, o:70, a:1
% 7.63/7.99 , s:1, b:0),
% 7.63/7.99 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [176, 2] (w:1
% 7.63/7.99 , o:155, a:1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Omonoid__add' [177, 1] (w:1, o:128, a:1, s:1, b:0
% 7.63/7.99 ),
% 7.63/7.99 'c_Polynomial_Osynthetic__divmod' [178, 3] (w:1, o:183, a:1, s:1, b:0
% 7.63/7.99 ),
% 7.63/7.99 'v_thesis____' [179, 0] (w:1, o:53, a:1, s:1, b:0),
% 7.63/7.99 'class_OrderedGroup_Ocancel__comm__monoid__add' [181, 1] (w:1, o:129
% 7.63/7.99 , a:1, s:1, b:0),
% 7.63/7.99 'tc_RealDef_Oreal' [183, 0] (w:1, o:56, a:1, s:1, b:0),
% 7.63/7.99 'tc_prod' [185, 2] (w:1, o:162, a:1, s:1, b:0).
% 7.63/7.99
% 7.63/7.99
% 7.63/7.99 Starting Search:
% 7.63/7.99
% 7.63/7.99 Resimplifying inuse:
% 7.63/7.99 Done
% 7.63/7.99
% 7.63/7.99
% 7.63/7.99 Intermediate Status:
% 7.63/7.99 Generated: 4779
% 7.63/7.99 Kept: 2047
% 7.63/7.99 Inuse: 106
% 7.63/7.99 Deleted: 0
% 7.63/7.99 Deletedinuse: 0
% 7.63/7.99
% 7.63/7.99 Resimplifying inuse:
% 7.63/7.99 Done
% 7.63/7.99
% 7.63/7.99 Resimplifying inuse:
% 7.63/7.99 Done
% 7.63/7.99
% 7.63/7.99
% 7.63/7.99 Intermediate Status:
% 7.63/7.99 Generated: 12940
% 7.63/7.99 Kept: 4220
% 7.63/7.99 Inuse: 265
% 7.63/7.99 Deleted: 1
% 7.63/7.99 Deletedinuse: 0
% 7.63/7.99
% 7.63/7.99 Resimplifying inuse:
% 7.63/7.99 Done
% 7.63/7.99
% 7.63/7.99 Resimplifying inuse:
% 7.63/7.99 Done
% 7.63/7.99
% 7.63/7.99
% 7.63/7.99 Intermediate Status:
% 7.63/7.99 Generated: 20196
% 7.63/7.99 Kept: 6382
% 7.63/7.99 Inuse: 302
% 7.63/7.99 Deleted: 4
% 7.63/7.99 Deletedinuse: 0
% 7.63/7.99
% 7.63/7.99 Resimplifying inuse:
% 7.63/7.99 Done
% 7.63/7.99
% 7.63/7.99 Resimplifying inuse:
% 7.63/7.99 Done
% 7.63/7.99
% 7.63/7.99
% 7.63/7.99 Intermediate Status:
% 7.63/7.99 Generated: 28647
% 27.41/27.84 Kept: 8441
% 27.41/27.84 Inuse: 376
% 27.41/27.84 Deleted: 5
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 36747
% 27.41/27.84 Kept: 10493
% 27.41/27.84 Inuse: 421
% 27.41/27.84 Deleted: 5
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 44241
% 27.41/27.84 Kept: 12502
% 27.41/27.84 Inuse: 484
% 27.41/27.84 Deleted: 5
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 54730
% 27.41/27.84 Kept: 14984
% 27.41/27.84 Inuse: 520
% 27.41/27.84 Deleted: 6
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 70084
% 27.41/27.84 Kept: 16985
% 27.41/27.84 Inuse: 557
% 27.41/27.84 Deleted: 6
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 83898
% 27.41/27.84 Kept: 19114
% 27.41/27.84 Inuse: 604
% 27.41/27.84 Deleted: 7
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying clauses:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 94585
% 27.41/27.84 Kept: 21206
% 27.41/27.84 Inuse: 654
% 27.41/27.84 Deleted: 111
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 105010
% 27.41/27.84 Kept: 23208
% 27.41/27.84 Inuse: 691
% 27.41/27.84 Deleted: 111
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 118420
% 27.41/27.84 Kept: 25214
% 27.41/27.84 Inuse: 747
% 27.41/27.84 Deleted: 111
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 133113
% 27.41/27.84 Kept: 27255
% 27.41/27.84 Inuse: 809
% 27.41/27.84 Deleted: 111
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 154428
% 27.41/27.84 Kept: 29895
% 27.41/27.84 Inuse: 849
% 27.41/27.84 Deleted: 111
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 164460
% 27.41/27.84 Kept: 32013
% 27.41/27.84 Inuse: 889
% 27.41/27.84 Deleted: 111
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 183488
% 27.41/27.84 Kept: 34015
% 27.41/27.84 Inuse: 977
% 27.41/27.84 Deleted: 113
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 200316
% 27.41/27.84 Kept: 36185
% 27.41/27.84 Inuse: 1042
% 27.41/27.84 Deleted: 113
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 214543
% 27.41/27.84 Kept: 38194
% 27.41/27.84 Inuse: 1067
% 27.41/27.84 Deleted: 113
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying clauses:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 237438
% 27.41/27.84 Kept: 40236
% 27.41/27.84 Inuse: 1127
% 27.41/27.84 Deleted: 332
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 259852
% 27.41/27.84 Kept: 44503
% 27.41/27.84 Inuse: 1171
% 27.41/27.84 Deleted: 332
% 27.41/27.84 Deletedinuse: 0
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 281067
% 27.41/27.84 Kept: 46922
% 27.41/27.84 Inuse: 1192
% 27.41/27.84 Deleted: 333
% 27.41/27.84 Deletedinuse: 1
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 300162
% 27.41/27.84 Kept: 49352
% 27.41/27.84 Inuse: 1202
% 27.41/27.84 Deleted: 334
% 27.41/27.84 Deletedinuse: 2
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 314909
% 27.41/27.84 Kept: 51357
% 27.41/27.84 Inuse: 1246
% 27.41/27.84 Deleted: 335
% 27.41/27.84 Deletedinuse: 3
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 335809
% 27.41/27.84 Kept: 54176
% 27.41/27.84 Inuse: 1292
% 27.41/27.84 Deleted: 335
% 27.41/27.84 Deletedinuse: 3
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 351940
% 27.41/27.84 Kept: 56176
% 27.41/27.84 Inuse: 1323
% 27.41/27.84 Deleted: 335
% 27.41/27.84 Deletedinuse: 3
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 358475
% 27.41/27.84 Kept: 59355
% 27.41/27.84 Inuse: 1331
% 27.41/27.84 Deleted: 337
% 27.41/27.84 Deletedinuse: 5
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying clauses:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 370724
% 27.41/27.84 Kept: 61783
% 27.41/27.84 Inuse: 1352
% 27.41/27.84 Deleted: 484
% 27.41/27.84 Deletedinuse: 5
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 27.41/27.84 Done
% 27.41/27.84
% 27.41/27.84
% 27.41/27.84 Intermediate Status:
% 27.41/27.84 Generated: 390453
% 27.41/27.84 Kept: 64127
% 27.41/27.84 Inuse: 1397
% 27.41/27.84 Deleted: 484
% 27.41/27.84 Deletedinuse: 5
% 27.41/27.84
% 27.41/27.84 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 398563
% 91.77/92.24 Kept: 66211
% 91.77/92.24 Inuse: 1407
% 91.77/92.24 Deleted: 484
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 413578
% 91.77/92.24 Kept: 68221
% 91.77/92.24 Inuse: 1437
% 91.77/92.24 Deleted: 484
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 432527
% 91.77/92.24 Kept: 70371
% 91.77/92.24 Inuse: 1477
% 91.77/92.24 Deleted: 484
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 447074
% 91.77/92.24 Kept: 72724
% 91.77/92.24 Inuse: 1497
% 91.77/92.24 Deleted: 484
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 459153
% 91.77/92.24 Kept: 75041
% 91.77/92.24 Inuse: 1522
% 91.77/92.24 Deleted: 484
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 469742
% 91.77/92.24 Kept: 77605
% 91.77/92.24 Inuse: 1547
% 91.77/92.24 Deleted: 484
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 485753
% 91.77/92.24 Kept: 80534
% 91.77/92.24 Inuse: 1572
% 91.77/92.24 Deleted: 484
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying clauses:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 492146
% 91.77/92.24 Kept: 83759
% 91.77/92.24 Inuse: 1575
% 91.77/92.24 Deleted: 671
% 91.77/92.24 Deletedinuse: 5
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 503436
% 91.77/92.24 Kept: 85766
% 91.77/92.24 Inuse: 1591
% 91.77/92.24 Deleted: 673
% 91.77/92.24 Deletedinuse: 7
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 541648
% 91.77/92.24 Kept: 88341
% 91.77/92.24 Inuse: 1592
% 91.77/92.24 Deleted: 673
% 91.77/92.24 Deletedinuse: 7
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 559668
% 91.77/92.24 Kept: 91147
% 91.77/92.24 Inuse: 1612
% 91.77/92.24 Deleted: 673
% 91.77/92.24 Deletedinuse: 7
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 581256
% 91.77/92.24 Kept: 94224
% 91.77/92.24 Inuse: 1632
% 91.77/92.24 Deleted: 673
% 91.77/92.24 Deletedinuse: 7
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 597572
% 91.77/92.24 Kept: 96252
% 91.77/92.24 Inuse: 1667
% 91.77/92.24 Deleted: 673
% 91.77/92.24 Deletedinuse: 7
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 611744
% 91.77/92.24 Kept: 98252
% 91.77/92.24 Inuse: 1683
% 91.77/92.24 Deleted: 673
% 91.77/92.24 Deletedinuse: 7
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 647677
% 91.77/92.24 Kept: 103206
% 91.77/92.24 Inuse: 1725
% 91.77/92.24 Deleted: 675
% 91.77/92.24 Deletedinuse: 9
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying clauses:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 658388
% 91.77/92.24 Kept: 105344
% 91.77/92.24 Inuse: 1742
% 91.77/92.24 Deleted: 1040
% 91.77/92.24 Deletedinuse: 9
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 669758
% 91.77/92.24 Kept: 107363
% 91.77/92.24 Inuse: 1762
% 91.77/92.24 Deleted: 1040
% 91.77/92.24 Deletedinuse: 9
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 690073
% 91.77/92.24 Kept: 109929
% 91.77/92.24 Inuse: 1792
% 91.77/92.24 Deleted: 1040
% 91.77/92.24 Deletedinuse: 9
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 706342
% 91.77/92.24 Kept: 112020
% 91.77/92.24 Inuse: 1812
% 91.77/92.24 Deleted: 1040
% 91.77/92.24 Deletedinuse: 9
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 725646
% 91.77/92.24 Kept: 114025
% 91.77/92.24 Inuse: 1856
% 91.77/92.24 Deleted: 1041
% 91.77/92.24 Deletedinuse: 10
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 737325
% 91.77/92.24 Kept: 116465
% 91.77/92.24 Inuse: 1877
% 91.77/92.24 Deleted: 1041
% 91.77/92.24 Deletedinuse: 10
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 773211
% 91.77/92.24 Kept: 118883
% 91.77/92.24 Inuse: 1887
% 91.77/92.24 Deleted: 1041
% 91.77/92.24 Deletedinuse: 10
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 783085
% 91.77/92.24 Kept: 121975
% 91.77/92.24 Inuse: 1892
% 91.77/92.24 Deleted: 1041
% 91.77/92.24 Deletedinuse: 10
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying clauses:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 801631
% 91.77/92.24 Kept: 124074
% 91.77/92.24 Inuse: 1937
% 91.77/92.24 Deleted: 1454
% 91.77/92.24 Deletedinuse: 10
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24 Resimplifying inuse:
% 91.77/92.24 Done
% 91.77/92.24
% 91.77/92.24
% 91.77/92.24 Intermediate Status:
% 91.77/92.24 Generated: 823758
% 91.77/92.24 Kept: 129835
% 91.77/92.24 Inuse: 1972
% 91.77/92.24 Deleted: 1456
% 91.77/92.24 Deletedinuse: 12
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99
% 207.47/207.99 Intermediate Status:
% 207.47/207.99 Generated: 834403
% 207.47/207.99 Kept: 132826
% 207.47/207.99 Inuse: 1977
% 207.47/207.99 Deleted: 1456
% 207.47/207.99 Deletedinuse: 12
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99
% 207.47/207.99 Intermediate Status:
% 207.47/207.99 Generated: 844740
% 207.47/207.99 Kept: 136037
% 207.47/207.99 Inuse: 1982
% 207.47/207.99 Deleted: 1456
% 207.47/207.99 Deletedinuse: 12
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99
% 207.47/207.99 Intermediate Status:
% 207.47/207.99 Generated: 871652
% 207.47/207.99 Kept: 138500
% 207.47/207.99 Inuse: 1987
% 207.47/207.99 Deleted: 1456
% 207.47/207.99 Deletedinuse: 12
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99
% 207.47/207.99 Intermediate Status:
% 207.47/207.99 Generated: 887514
% 207.47/207.99 Kept: 141113
% 207.47/207.99 Inuse: 1997
% 207.47/207.99 Deleted: 1456
% 207.47/207.99 Deletedinuse: 12
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99
% 207.47/207.99 Intermediate Status:
% 207.47/207.99 Generated: 921188
% 207.47/207.99 Kept: 143938
% 207.47/207.99 Inuse: 2002
% 207.47/207.99 Deleted: 1456
% 207.47/207.99 Deletedinuse: 12
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99 Resimplifying clauses:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99
% 207.47/207.99 Intermediate Status:
% 207.47/207.99 Generated: 936966
% 207.47/207.99 Kept: 146082
% 207.47/207.99 Inuse: 2012
% 207.47/207.99 Deleted: 1853
% 207.47/207.99 Deletedinuse: 12
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99 Resimplifying inuse:
% 207.47/207.99 Done
% 207.47/207.99
% 207.47/207.99
% 207.47/207.99 Intermediate Status:
% 207.47/207.99 Generated: 957353
% 207.47/208.00 Kept: 149394
% 207.47/208.00 Inuse: 2032
% 207.47/208.00 Deleted: 1853
% 207.47/208.00 Deletedinuse: 12
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 975160
% 207.47/208.00 Kept: 151457
% 207.47/208.00 Inuse: 2072
% 207.47/208.00 Deleted: 1857
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1006231
% 207.47/208.00 Kept: 159430
% 207.47/208.00 Inuse: 2097
% 207.47/208.00 Deleted: 1857
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1022842
% 207.47/208.00 Kept: 169099
% 207.47/208.00 Inuse: 2098
% 207.47/208.00 Deleted: 1857
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying clauses:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1041913
% 207.47/208.00 Kept: 180591
% 207.47/208.00 Inuse: 2102
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1058458
% 207.47/208.00 Kept: 190337
% 207.47/208.00 Inuse: 2103
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying clauses:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1064672
% 207.47/208.00 Kept: 192373
% 207.47/208.00 Inuse: 2123
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1073413
% 207.47/208.00 Kept: 194403
% 207.47/208.00 Inuse: 2140
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1079552
% 207.47/208.00 Kept: 196433
% 207.47/208.00 Inuse: 2158
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1093082
% 207.47/208.00 Kept: 198831
% 207.47/208.00 Inuse: 2172
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1117132
% 207.47/208.00 Kept: 201346
% 207.47/208.00 Inuse: 2187
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1127230
% 207.47/208.00 Kept: 203403
% 207.47/208.00 Inuse: 2217
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1135272
% 207.47/208.00 Kept: 205462
% 207.47/208.00 Inuse: 2237
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1141790
% 207.47/208.00 Kept: 207642
% 207.47/208.00 Inuse: 2257
% 207.47/208.00 Deleted: 1982
% 207.47/208.00 Deletedinuse: 16
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1151146
% 207.47/208.00 Kept: 209673
% 207.47/208.00 Inuse: 2286
% 207.47/208.00 Deleted: 1983
% 207.47/208.00 Deletedinuse: 17
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying clauses:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1164753
% 207.47/208.00 Kept: 212263
% 207.47/208.00 Inuse: 2292
% 207.47/208.00 Deleted: 2483
% 207.47/208.00 Deletedinuse: 17
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1172723
% 207.47/208.00 Kept: 214609
% 207.47/208.00 Inuse: 2307
% 207.47/208.00 Deleted: 2483
% 207.47/208.00 Deletedinuse: 17
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00 Resimplifying inuse:
% 207.47/208.00 Done
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 Generated: 1179816
% 207.47/208.00 Kept: 216870
% 207.47/208.00 Inuse: 2327
% 207.47/208.00 Deleted: 2483
% 207.47/208.00 Deletedinuse: 17
% 207.47/208.00
% 207.47/208.00
% 207.47/208.00 Intermediate Status:
% 207.47/208.00 GeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------