TSTP Solution File: ALG344-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG344-1 : 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 12:10:25 EDT 2022
% Result : Timeout 300.01s 300.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG344-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 8 11:56:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.88/1.27 *** allocated 10000 integers for termspace/termends
% 0.88/1.27 *** allocated 10000 integers for clauses
% 0.88/1.27 *** allocated 10000 integers for justifications
% 0.88/1.27 *** allocated 15000 integers for termspace/termends
% 0.88/1.27 Bliksem 1.12
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Automatic Strategy Selection
% 0.88/1.27
% 0.88/1.27 Clauses:
% 0.88/1.27 [
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.88/1.27 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.88/1.27 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.88/1.27 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.27 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.88/1.27 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.88/1.27 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.88/1.27 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.27 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.88/1.27 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.88/1.27 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.88/1.27 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.88/1.27 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.27 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.27 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.88/1.27 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.88/1.27 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.88/1.27 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.88/1.27 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.27 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.88/1.27 , X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.88/1.27 , X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.88/1.27 X ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.27 , Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.27 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.88/1.27 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.27 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.27 , X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.27 , X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.88/1.27 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.88/1.27 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.27 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.27 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.88/1.27 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.88/1.27 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.88/1.27 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.27 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), U, X ),
% 0.88/1.27 W, X ), ~( 'c_Polynomial_Opdivmod__rel'( Y, T, U, W, X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.27 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.27 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.27 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Y, X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , Z, X ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , Z, X ), X ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.88/1.27 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.88/1.27 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.27 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.27 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Polynomial_Osmult'( T,
% 0.88/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.88/1.27 ), 'c_Polynomial_OpCons'( Y,
% 0.88/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.88/1.27 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.88/1.27 ), X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.27 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.27 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 Y, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.88/1.27 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.27 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.27 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.88/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.88/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.88/1.27 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.88/1.27 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.88/1.27 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.27 , X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.27 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Osmult'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Ocoeff'( Y,
% 0.88/1.27 'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.27 X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.27 X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.27 X ) ) ), =( Y, T ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 0.88/1.27 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.88/1.27 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.88/1.27 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.88/1.27 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.88/1.27 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.88/1.27 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.88/1.27 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.88/1.27 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.88/1.27 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.27 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.27 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.88/1.27 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.27 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.88/1.27 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.88/1.27 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.27 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.88/1.27 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.88/1.27 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.88/1.27 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.27 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.27 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.27 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.27 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.27 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.27 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , U, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.88/1.27 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.88/1.27 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.88/1.27 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.88/1.27 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 0.88/1.27 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.88/1.27 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.88/1.27 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Z, Y, T, U, X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_OpCons'( W, Z, X ), Y,
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.88/1.27 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 0.88/1.27 'c_Polynomial_Odegree'( Y, X ), X ), X ), T, X ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.88/1.27 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 0.88/1.27 'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ), 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.88/1.27 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 0.88/1.27 , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.27 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.27 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.27 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.27 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, T, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.88/1.27 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.88/1.27 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.27 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.88/1.27 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.88/1.27 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.27 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'(
% 0.88/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.27 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.88/1.27 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.27 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.27 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.27 , X ), W, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.88/1.27 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.88/1.27 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.88/1.27 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.88/1.27 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.88/1.27 , T, X ), X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.88/1.27 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.88/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.88/1.27 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.88/1.27 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.88/1.27 Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.27 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.88/1.27 ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.27 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.27 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.88/1.27 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.27 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.27 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.88/1.27 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.88/1.27 X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.27 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.27 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.88/1.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.88/1.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.88/1.27 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.27 Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.27 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.88/1.27 ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.88/1.27 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.88/1.27 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.88/1.27 X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.27 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.27 X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.88/1.27 ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.88/1.27 ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.88/1.27 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.88/1.27 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.88/1.27 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 0.88/1.27 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.27 X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.27 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.88/1.27 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.27 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.27 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.27 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.88/1.27 , X ), X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.88/1.27 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.27 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.88/1.27 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.88/1.27 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.27 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.27 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.88/1.27 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.27 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.88/1.27 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.27 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.27 ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.27 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.27 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.27 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.88/1.27 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.27 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.27 ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.27 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.88/1.27 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.88/1.27 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.88/1.27 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.27 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.27 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.88/1.27 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.88/1.27 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.88/1.27 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.88/1.27 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.27 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.27 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ],
% 0.88/1.28 [ ~( =( 'v_p', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 0.88/1.28 ) ) ) ), ~( =(
% 0.88/1.28 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_h'
% 0.88/1.28 , 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p',
% 0.88/1.28 'v_h', 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a'
% 0.88/1.28 ) ) ), =( 'v_p', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.28 't_a' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.88/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.28 'class_HOL_Ozero'( X ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.28 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.88/1.28 ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.28 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.88/1.28 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.88/1.28 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.88/1.28 ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.88/1.28 ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.88/1.28 ],
% 0.88/1.28 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.88/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.28 X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.88/1.28 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.28 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.88/1.28 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.28 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.88/1.28 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.88/1.28 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.88/1.28 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.88/1.28 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.88/1.28 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.28 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.28 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.28 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.28 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.28 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.28 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.28 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.28 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.28 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.28 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.88/1.28 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.28 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.88/1.28 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.28 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.28 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.88/1.28 X ) ) ],
% 0.88/1.28 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 0.88/1.28 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 0.88/1.28 ] .
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 percentage equality = 0.388283, percentage horn = 0.894822
% 0.88/1.28 This is a problem with some equality
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Options Used:
% 0.88/1.28
% 0.88/1.28 useres = 1
% 0.88/1.28 useparamod = 1
% 0.88/1.28 useeqrefl = 1
% 0.88/1.28 useeqfact = 1
% 0.88/1.28 usefactor = 1
% 0.88/1.28 usesimpsplitting = 0
% 0.88/1.28 usesimpdemod = 5
% 0.88/1.28 usesimpres = 3
% 0.88/1.28
% 0.88/1.28 resimpinuse = 1000
% 0.88/1.28 resimpclauses = 20000
% 0.88/1.28 substype = eqrewr
% 0.88/1.28 backwardsubs = 1
% 0.88/1.28 selectoldest = 5
% 0.88/1.28
% 0.88/1.28 litorderings [0] = split
% 0.88/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.28
% 0.88/1.28 termordering = kbo
% 0.88/1.28
% 0.88/1.28 litapriori = 0
% 0.88/1.28 termapriori = 1
% 0.88/1.28 litaposteriori = 0
% 0.88/1.28 termaposteriori = 0
% 0.88/1.28 demodaposteriori = 0
% 0.88/1.28 ordereqreflfact = 0
% 0.88/1.28
% 0.88/1.28 litselect = negord
% 0.88/1.28
% 0.88/1.28 maxweight = 15
% 0.88/1.28 maxdepth = 30000
% 0.88/1.28 maxlength = 115
% 0.88/1.28 maxnrvars = 195
% 0.88/1.28 excuselevel = 1
% 0.88/1.28 increasemaxweight = 1
% 0.88/1.28
% 0.88/1.28 maxselected = 10000000
% 0.88/1.28 maxnrclauses = 10000000
% 0.88/1.28
% 0.88/1.28 showgenerated = 0
% 0.88/1.28 showkept = 0
% 0.88/1.28 showselected = 0
% 0.88/1.28 showdeleted = 0
% 0.88/1.28 showresimp = 1
% 0.88/1.28 showstatus = 2000
% 0.88/1.28
% 0.88/1.28 prologoutput = 1
% 0.88/1.28 nrgoals = 5000000
% 0.88/1.28 totalproof = 1
% 0.88/1.28
% 0.88/1.28 Symbols occurring in the translation:
% 0.88/1.28
% 0.88/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.28 . [1, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.88/1.28 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 0.88/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring__0' [40, 1] (w:1, o:63, a:1
% 0.88/1.28 , s:1, b:0),
% 0.88/1.28 'c_Polynomial_OpCons' [44, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.88/1.28 'c_Polynomial_Osmult' [45, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.88/1.28 'c_HOL_Otimes__class_Otimes' [46, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.88/1.28 'class_OrderedGroup_Oab__semigroup__idem__mult' [47, 1] (w:1, o:64
% 0.88/1.28 , a:1, s:1, b:0),
% 0.88/1.28 'c_Pair' [50, 4] (w:1, o:173, a:1, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Odivision__ring' [53, 1] (w:1, o:67, a:1, s:1
% 0.88/1.28 , b:0),
% 0.88/1.28 'class_Ring__and__Field_Odivision__by__zero' [54, 1] (w:1, o:68, a:1
% 0.88/1.28 , s:1, b:0),
% 0.88/1.28 'c_HOL_Oinverse__class_Oinverse' [55, 2] (w:1, o:143, a:1, s:1, b:0)
% 0.88/1.28 ,
% 0.88/1.28 'class_Ring__and__Field_Oidom' [56, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.88/1.28 'c_Polynomial_Odegree' [57, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.88/1.28 'c_HOL_Ozero__class_Ozero' [58, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring__1' [59, 1] (w:1, o:65, a:1
% 0.88/1.28 , s:1, b:0),
% 0.88/1.28 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.88/1.28 'class_OrderedGroup_Ocomm__monoid__mult' [63, 1] (w:1, o:71, a:1, s:1
% 0.88/1.28 , b:0),
% 0.88/1.28 'class_Divides_Osemiring__div' [65, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.88/1.28 'c_Divides_Odiv__class_Omod' [67, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.88/1.28 'c_HOL_Oplus__class_Oplus' [68, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Odvd' [69, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Ocomm__ring' [70, 1] (w:1, o:61, a:1, s:1, b:
% 0.88/1.28 0),
% 0.88/1.28 'c_HOL_Ominus__class_Ominus' [74, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.88/1.28 'c_Ring__and__Field_Odvd__class_Odvd' [76, 3] (w:1, o:160, a:1, s:1
% 0.88/1.28 , b:0),
% 0.88/1.28 'c_Divides_Odiv__class_Odiv' [77, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.88/1.28 'c_HOL_Ouminus__class_Ouminus' [78, 2] (w:1, o:147, a:1, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Ofield' [79, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.88/1.28 'tc_Polynomial_Opoly' [80, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.88/1.28 'c_HOL_Oinverse__class_Odivide' [81, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.88/1.28
% 0.88/1.28 'c_HOL_Oone__class_Oone' [82, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.88/1.28 'class_Int_Onumber__ring' [83, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.88/1.28 'class_Divides_Oring__div' [84, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.88/1.28 'class_OrderedGroup_Oab__semigroup__mult' [85, 1] (w:1, o:81, a:1, s:
% 0.88/1.28 1, b:0),
% 0.88/1.28 'class_RealVector_Oreal__normed__algebra' [91, 1] (w:1, o:82, a:1, s:
% 0.88/1.28 1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Ocomm__semiring' [95, 1] (w:1, o:66, a:1, s:1
% 0.88/1.28 , b:0),
% 0.88/1.28 'class_OrderedGroup_Oab__group__add' [96, 1] (w:1, o:83, a:1, s:1, b:
% 0.88/1.28 0),
% 0.88/1.28 'c_Polynomial_Ocoeff' [97, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.88/1.28 'class_OrderedGroup_Opordered__ab__group__add__abs' [98, 1] (w:1, o:
% 0.88/1.28 85, a:1, s:1, b:0),
% 0.88/1.28 'c_HOL_Oabs__class_Oabs' [99, 2] (w:1, o:148, a:1, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Oordered__idom' [100, 1] (w:1, o:87, a:1, s:1
% 0.88/1.28 , b:0),
% 0.88/1.28 'c_Polynomial_Opos__poly' [101, 2] (w:1, o:149, a:1, s:1, b:0),
% 0.88/1.28 'class_Ring__and__Field_Oordered__ring__strict' [102, 1] (w:1, o:88
% 7.48/7.85 , a:1, s:1, b:0),
% 7.48/7.85 'class_OrderedGroup_Olordered__ab__group__add' [103, 1] (w:1, o:89
% 7.48/7.85 , a:1, s:1, b:0),
% 7.48/7.85 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [104, 2] (w:1
% 7.48/7.85 , o:144, a:1, s:1, b:0),
% 7.48/7.85 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [105, 2] (w:1
% 7.48/7.85 , o:145, a:1, s:1, b:0),
% 7.48/7.85 'class_RealVector_Oreal__normed__field' [106, 1] (w:1, o:90, a:1, s:1
% 7.48/7.85 , b:0),
% 7.48/7.85 'class_HOL_Ozero' [108, 1] (w:1, o:78, a:1, s:1, b:0),
% 7.48/7.85 'class_HOL_Oeq' [109, 1] (w:1, o:79, a:1, s:1, b:0),
% 7.48/7.85 'c_HOL_Oeq__class_Oeq' [110, 3] (w:1, o:164, a:1, s:1, b:0),
% 7.48/7.85 'class_OrderedGroup_Ogroup__add' [111, 1] (w:1, o:91, a:1, s:1, b:0)
% 7.48/7.85 ,
% 7.48/7.85 'class_Ring__and__Field_Oring' [113, 1] (w:1, o:92, a:1, s:1, b:0),
% 7.48/7.85 'class_RealVector_Oreal__normed__vector' [114, 1] (w:1, o:93, a:1, s:
% 7.48/7.85 1, b:0),
% 7.48/7.85 'c_HOL_Osgn__class_Osgn' [115, 2] (w:1, o:150, a:1, s:1, b:0),
% 7.48/7.85 'class_RealVector_Oreal__vector' [116, 1] (w:1, o:94, a:1, s:1, b:0)
% 7.48/7.85 ,
% 7.48/7.85 'c_RealVector_OscaleR__class_OscaleR' [117, 3] (w:1, o:165, a:1, s:1
% 7.48/7.85 , b:0),
% 7.48/7.85 'c_Polynomial_Opdivmod__rel' [121, 5] (w:1, o:174, a:1, s:1, b:0),
% 7.48/7.85 'class_Lattices_Oboolean__algebra' [123, 1] (w:1, o:95, a:1, s:1, b:0
% 7.48/7.85 ),
% 7.48/7.85 'class_Ring__and__Field_Ocomm__ring__1' [124, 1] (w:1, o:62, a:1, s:1
% 7.48/7.85 , b:0),
% 7.48/7.85 'c_Polynomial_Osynthetic__div' [125, 3] (w:1, o:166, a:1, s:1, b:0),
% 7.48/7.85
% 7.48/7.85 'c_Polynomial_Opoly' [126, 3] (w:1, o:167, a:1, s:1, b:0),
% 7.48/7.85 'c_Polynomial_Opoly__gcd' [127, 3] (w:1, o:168, a:1, s:1, b:0),
% 7.48/7.85 'class_SEQ_Obanach' [130, 1] (w:1, o:108, a:1, s:1, b:0),
% 7.48/7.85 'c_Transcendental_Oexp' [131, 2] (w:1, o:151, a:1, s:1, b:0),
% 7.48/7.85 'class_OrderedGroup_Omonoid__mult' [132, 1] (w:1, o:110, a:1, s:1, b:
% 7.48/7.85 0),
% 7.48/7.85 'class_OrderedGroup_Olordered__ab__group__add__abs' [133, 1] (w:1, o:
% 7.48/7.85 109, a:1, s:1, b:0),
% 7.48/7.85 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [134, 3]
% 7.48/7.85 (w:1, o:169, a:1, s:1, b:0),
% 7.48/7.85 'c_Polynomial_Omonom' [135, 3] (w:1, o:170, a:1, s:1, b:0),
% 7.48/7.85 'class_OrderedGroup_Ocomm__monoid__add' [136, 1] (w:1, o:111, a:1, s:
% 7.48/7.85 1, b:0),
% 7.48/7.85 'class_OrderedGroup_Ocancel__ab__semigroup__add' [137, 1] (w:1, o:112
% 7.48/7.85 , a:1, s:1, b:0),
% 7.48/7.85 'class_OrderedGroup_Ocancel__semigroup__add' [138, 1] (w:1, o:113, a:
% 7.48/7.85 1, s:1, b:0),
% 7.48/7.85 'class_RealVector_Oreal__algebra' [139, 1] (w:1, o:96, a:1, s:1, b:0)
% 7.48/7.85 ,
% 7.48/7.85 'class_Ring__and__Field_Oordered__field' [140, 1] (w:1, o:97, a:1, s:
% 7.48/7.85 1, b:0),
% 7.48/7.85 'c_Polynomial_Opcompose' [142, 3] (w:1, o:171, a:1, s:1, b:0),
% 7.48/7.85 'class_RealVector_Oreal__field' [143, 1] (w:1, o:98, a:1, s:1, b:0),
% 7.48/7.85
% 7.48/7.85 'class_OrderedGroup_Oab__semigroup__add' [144, 1] (w:1, o:114, a:1
% 7.48/7.85 , s:1, b:0),
% 7.48/7.85 'class_Ring__and__Field_Osemiring' [147, 1] (w:1, o:102, a:1, s:1, b:
% 7.48/7.85 0),
% 7.48/7.85 'class_RealVector_Oreal__normed__algebra__1' [148, 1] (w:1, o:103, a:
% 7.48/7.85 1, s:1, b:0),
% 7.48/7.85 'class_OrderedGroup_Oordered__ab__group__add' [151, 1] (w:1, o:84, a:
% 7.48/7.85 1, s:1, b:0),
% 7.48/7.85 'class_Ring__and__Field_Osgn__if' [152, 1] (w:1, o:104, a:1, s:1, b:0
% 7.48/7.85 ),
% 7.48/7.85 'class_Ring__and__Field_Oring__no__zero__divisors' [153, 1] (w:1, o:
% 7.48/7.85 99, a:1, s:1, b:0),
% 7.48/7.85 'class_Ring__and__Field_Omult__zero' [154, 1] (w:1, o:105, a:1, s:1
% 7.48/7.85 , b:0),
% 7.48/7.85 'class_Ring__and__Field_Oring__1' [156, 1] (w:1, o:100, a:1, s:1, b:0
% 7.48/7.85 ),
% 7.48/7.85 'class_RealVector_Oreal__normed__div__algebra' [157, 1] (w:1, o:106
% 7.48/7.85 , a:1, s:1, b:0),
% 7.48/7.85 'class_Ring__and__Field_Ozero__neq__one' [159, 1] (w:1, o:107, a:1
% 7.48/7.85 , s:1, b:0),
% 7.48/7.85 'class_Ring__and__Field_Oring__1__no__zero__divisors' [160, 1] (w:1
% 7.48/7.85 , o:101, a:1, s:1, b:0),
% 7.48/7.85 'class_Ring__and__Field_Ono__zero__divisors' [161, 1] (w:1, o:86, a:1
% 7.48/7.85 , s:1, b:0),
% 7.48/7.85 'class_Power_Opower' [162, 1] (w:1, o:117, a:1, s:1, b:0),
% 7.48/7.85 'class_OrderedGroup_Omonoid__add' [163, 1] (w:1, o:115, a:1, s:1, b:0
% 7.48/7.85 ),
% 7.48/7.85 'c_Polynomial_Osynthetic__divmod' [164, 3] (w:1, o:172, a:1, s:1, b:0
% 7.48/7.85 ),
% 7.48/7.85 't_a' [165, 0] (w:1, o:48, a:1, s:1, b:0),
% 7.48/7.85 'v_p' [166, 0] (w:1, o:49, a:1, s:1, b:0),
% 7.48/7.85 'v_h' [167, 0] (w:1, o:50, a:1, s:1, b:0),
% 41.35/41.77 'class_OrderedGroup_Ocancel__comm__monoid__add' [170, 1] (w:1, o:116
% 41.35/41.77 , a:1, s:1, b:0),
% 41.35/41.77 'tc_RealDef_Oreal' [171, 0] (w:1, o:53, a:1, s:1, b:0),
% 41.35/41.77 'tc_nat' [172, 0] (w:1, o:54, a:1, s:1, b:0),
% 41.35/41.77 'tc_prod' [174, 2] (w:1, o:152, a:1, s:1, b:0).
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Starting Search:
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 4955
% 41.35/41.77 Kept: 2003
% 41.35/41.77 Inuse: 142
% 41.35/41.77 Deleted: 0
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 11177
% 41.35/41.77 Kept: 4252
% 41.35/41.77 Inuse: 206
% 41.35/41.77 Deleted: 0
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 25431
% 41.35/41.77 Kept: 6575
% 41.35/41.77 Inuse: 241
% 41.35/41.77 Deleted: 0
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 34476
% 41.35/41.77 Kept: 8625
% 41.35/41.77 Inuse: 335
% 41.35/41.77 Deleted: 1
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 51121
% 41.35/41.77 Kept: 11365
% 41.35/41.77 Inuse: 395
% 41.35/41.77 Deleted: 1
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 62182
% 41.35/41.77 Kept: 13371
% 41.35/41.77 Inuse: 432
% 41.35/41.77 Deleted: 1
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 77747
% 41.35/41.77 Kept: 15637
% 41.35/41.77 Inuse: 470
% 41.35/41.77 Deleted: 1
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 94527
% 41.35/41.77 Kept: 17689
% 41.35/41.77 Inuse: 534
% 41.35/41.77 Deleted: 2
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 110396
% 41.35/41.77 Kept: 19691
% 41.35/41.77 Inuse: 611
% 41.35/41.77 Deleted: 4
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying clauses:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 129235
% 41.35/41.77 Kept: 21955
% 41.35/41.77 Inuse: 656
% 41.35/41.77 Deleted: 109
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 155247
% 41.35/41.77 Kept: 24037
% 41.35/41.77 Inuse: 696
% 41.35/41.77 Deleted: 109
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 174432
% 41.35/41.77 Kept: 26499
% 41.35/41.77 Inuse: 716
% 41.35/41.77 Deleted: 109
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 182018
% 41.35/41.77 Kept: 28799
% 41.35/41.77 Inuse: 734
% 41.35/41.77 Deleted: 109
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 205271
% 41.35/41.77 Kept: 30911
% 41.35/41.77 Inuse: 766
% 41.35/41.77 Deleted: 109
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 225028
% 41.35/41.77 Kept: 33339
% 41.35/41.77 Inuse: 796
% 41.35/41.77 Deleted: 109
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 259721
% 41.35/41.77 Kept: 35455
% 41.35/41.77 Inuse: 836
% 41.35/41.77 Deleted: 109
% 41.35/41.77 Deletedinuse: 0
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 287986
% 41.35/41.77 Kept: 38069
% 41.35/41.77 Inuse: 886
% 41.35/41.77 Deleted: 110
% 41.35/41.77 Deletedinuse: 1
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 323563
% 41.35/41.77 Kept: 41165
% 41.35/41.77 Inuse: 901
% 41.35/41.77 Deleted: 110
% 41.35/41.77 Deletedinuse: 1
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying clauses:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 348291
% 41.35/41.77 Kept: 43304
% 41.35/41.77 Inuse: 951
% 41.35/41.77 Deleted: 229
% 41.35/41.77 Deletedinuse: 2
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 371719
% 41.35/41.77 Kept: 45571
% 41.35/41.77 Inuse: 986
% 41.35/41.77 Deleted: 229
% 41.35/41.77 Deletedinuse: 2
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 394227
% 41.35/41.77 Kept: 47820
% 41.35/41.77 Inuse: 1026
% 41.35/41.77 Deleted: 229
% 41.35/41.77 Deletedinuse: 2
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 412393
% 41.35/41.77 Kept: 49999
% 41.35/41.77 Inuse: 1061
% 41.35/41.77 Deleted: 229
% 41.35/41.77 Deletedinuse: 2
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77
% 41.35/41.77 Intermediate Status:
% 41.35/41.77 Generated: 432651
% 41.35/41.77 Kept: 52334
% 41.35/41.77 Inuse: 1091
% 41.35/41.77 Deleted: 229
% 41.35/41.77 Deletedinuse: 2
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 41.35/41.77 Done
% 41.35/41.77
% 41.35/41.77 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 462854
% 109.33/109.89 Kept: 54410
% 109.33/109.89 Inuse: 1136
% 109.33/109.89 Deleted: 229
% 109.33/109.89 Deletedinuse: 2
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 492037
% 109.33/109.89 Kept: 62265
% 109.33/109.89 Inuse: 1172
% 109.33/109.89 Deleted: 230
% 109.33/109.89 Deletedinuse: 3
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying clauses:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 500991
% 109.33/109.89 Kept: 68158
% 109.33/109.89 Inuse: 1173
% 109.33/109.89 Deleted: 435
% 109.33/109.89 Deletedinuse: 4
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 515931
% 109.33/109.89 Kept: 71249
% 109.33/109.89 Inuse: 1206
% 109.33/109.89 Deleted: 435
% 109.33/109.89 Deletedinuse: 4
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 532101
% 109.33/109.89 Kept: 74239
% 109.33/109.89 Inuse: 1231
% 109.33/109.89 Deleted: 435
% 109.33/109.89 Deletedinuse: 4
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 548033
% 109.33/109.89 Kept: 76776
% 109.33/109.89 Inuse: 1271
% 109.33/109.89 Deleted: 435
% 109.33/109.89 Deletedinuse: 4
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 570455
% 109.33/109.89 Kept: 78788
% 109.33/109.89 Inuse: 1322
% 109.33/109.89 Deleted: 437
% 109.33/109.89 Deletedinuse: 6
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 587495
% 109.33/109.89 Kept: 81361
% 109.33/109.89 Inuse: 1341
% 109.33/109.89 Deleted: 437
% 109.33/109.89 Deletedinuse: 6
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying clauses:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 599341
% 109.33/109.89 Kept: 83367
% 109.33/109.89 Inuse: 1381
% 109.33/109.89 Deleted: 878
% 109.33/109.89 Deletedinuse: 7
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 632872
% 109.33/109.89 Kept: 85369
% 109.33/109.89 Inuse: 1397
% 109.33/109.89 Deleted: 878
% 109.33/109.89 Deletedinuse: 7
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 640369
% 109.33/109.89 Kept: 87597
% 109.33/109.89 Inuse: 1401
% 109.33/109.89 Deleted: 878
% 109.33/109.89 Deletedinuse: 7
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 652431
% 109.33/109.89 Kept: 90380
% 109.33/109.89 Inuse: 1416
% 109.33/109.89 Deleted: 878
% 109.33/109.89 Deletedinuse: 7
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 678242
% 109.33/109.89 Kept: 98689
% 109.33/109.89 Inuse: 1454
% 109.33/109.89 Deleted: 879
% 109.33/109.89 Deletedinuse: 8
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 692909
% 109.33/109.89 Kept: 101409
% 109.33/109.89 Inuse: 1476
% 109.33/109.89 Deleted: 939
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying clauses:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 702752
% 109.33/109.89 Kept: 103418
% 109.33/109.89 Inuse: 1508
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 720424
% 109.33/109.89 Kept: 106244
% 109.33/109.89 Inuse: 1541
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 736204
% 109.33/109.89 Kept: 108650
% 109.33/109.89 Inuse: 1561
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 747944
% 109.33/109.89 Kept: 110781
% 109.33/109.89 Inuse: 1581
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 802883
% 109.33/109.89 Kept: 114996
% 109.33/109.89 Inuse: 1596
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 821316
% 109.33/109.89 Kept: 117192
% 109.33/109.89 Inuse: 1611
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 866080
% 109.33/109.89 Kept: 121393
% 109.33/109.89 Inuse: 1626
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 879073
% 109.33/109.89 Kept: 123449
% 109.33/109.89 Inuse: 1641
% 109.33/109.89 Deleted: 1984
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying clauses:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 887457
% 109.33/109.89 Kept: 125468
% 109.33/109.89 Inuse: 1656
% 109.33/109.89 Deleted: 2991
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate Status:
% 109.33/109.89 Generated: 903797
% 109.33/109.89 Kept: 128219
% 109.33/109.89 Inuse: 1671
% 109.33/109.89 Deleted: 2991
% 109.33/109.89 Deletedinuse: 68
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89 Resimplifying inuse:
% 109.33/109.89 Done
% 109.33/109.89
% 109.33/109.89
% 109.33/109.89 Intermediate StCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------