TSTP Solution File: ALG426-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG426-1 : 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 12:10:53 EDT 2022
% Result : Timeout 300.06s 300.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG426-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % 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 03:59:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.86/1.25 *** allocated 10000 integers for termspace/termends
% 0.86/1.25 *** allocated 10000 integers for clauses
% 0.86/1.25 *** allocated 10000 integers for justifications
% 0.86/1.25 *** allocated 15000 integers for termspace/termends
% 0.86/1.25 Bliksem 1.12
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 Automatic Strategy Selection
% 0.86/1.25
% 0.86/1.25 Clauses:
% 0.86/1.25 [
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.25 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.86/1.25 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.86/1.25 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.25 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.25 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.25 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.86/1.25 , X ), Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.86/1.25 , X ), Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.25 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.86/1.25 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.25 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.86/1.25 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.25 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.25 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.25 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.86/1.25 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.25 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.86/1.25 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.86/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.86/1.25 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.86/1.25 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.25 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.86/1.25 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.25 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.86/1.25 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.25 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.86/1.25 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.25 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.86/1.25 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.86/1.25 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.86/1.25 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.25 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.25 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.25 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.25 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.86/1.25 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.25 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.25 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.25 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.25 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.86/1.25 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.25 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.25 Y, X ), Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.25 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.25 Y, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.86/1.25 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.25 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.86/1.25 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.25 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.86/1.25 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.86/1.25 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.86/1.25 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.25 T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.25 X ), Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.25 T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.25 X ), T, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.25 T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.25 X ), T, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.25 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.25 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.25 'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.86/1.25 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.86/1.25 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.25 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.86/1.25 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.86/1.25 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.25 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.25 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.86/1.25 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.86/1.25 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.25 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.86/1.25 X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.25 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.86/1.25 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.86/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.86/1.25 ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.25 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.25 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.25 Y, X ), Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.86/1.25 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.86/1.25 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.25 X ) ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.86/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.86/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.25 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.25 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.86/1.25 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.25 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.86/1.25 X ) ],
% 0.86/1.25 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.86/1.25 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.86/1.25 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.86/1.25 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.25 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.25 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.86/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.25 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.25 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.25 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.25 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.25 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.86/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.25 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.86/1.25 X ), X ) ) ],
% 0.86/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.26 , Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.26 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.86/1.26 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.26 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.26 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.26 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.26 Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.26 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.26 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.86/1.26 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.86/1.26 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.86/1.26 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.86/1.26 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.86/1.26 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.86/1.26 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.26 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.26 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.86/1.26 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.86/1.26 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.86/1.26 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), U, X ),
% 0.86/1.26 W, X ), ~( 'c_Polynomial_Opdivmod__rel'( Y, T, U, W, X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.86/1.26 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.86/1.26 , T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.86/1.26 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.86/1.26 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.86/1.26 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'(
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.86/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 0.86/1.26 ), 'c_Polynomial_Odegree'( Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.86/1.26 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.86/1.26 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), T
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T, Y
% 0.86/1.26 , X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.26 , Y, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.26 , Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.26 , Z, X ), X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.86/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.86/1.26 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.86/1.26 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.26 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.86/1.26 ), Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.86/1.26 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Polynomial_Osmult'( T,
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.86/1.26 ), 'c_Polynomial_OpCons'( Y,
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.86/1.26 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.86/1.26 ), X ), Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.26 , Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.26 , Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.26 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.86/1.26 , T, X ), X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.86/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.26 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.26 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.86/1.26 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.86/1.26 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.26 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.26 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 Y, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.86/1.26 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.86/1.26 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.86/1.26 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.86/1.26 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.26 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.26 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.26 X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.86/1.26 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.86/1.26 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.86/1.26 X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.26 , X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.86/1.26 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.86/1.26 , T, X ), X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Osmult'(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Ocoeff'( Y,
% 0.86/1.26 'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.86/1.26 X ) ) ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.86/1.26 X ) ) ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.86/1.26 X ) ) ), =( Y, T ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.86/1.26 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.86/1.26 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 0.86/1.26 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.86/1.26 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.86/1.26 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.86/1.26 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.86/1.26 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.86/1.26 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.86/1.26 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.86/1.26 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.86/1.26 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.86/1.26 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.86/1.26 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.86/1.26 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.86/1.26 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.86/1.26 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.86/1.26 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.86/1.26 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.86/1.26 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.86/1.26 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.86/1.26 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.26 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.26 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.86/1.26 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.86/1.26 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.86/1.26 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.26 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.86/1.26 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.86/1.26 , X ), W, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.26 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.26 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.86/1.26 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.86/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.26 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.26 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.26 , T, X ) ) ), =( Z, T ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.26 , T, X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.26 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.86/1.26 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.86/1.26 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.86/1.26 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.26 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.86/1.26 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.86/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.86/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.26 , U, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.26 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.86/1.26 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Z ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.86/1.26 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.86/1.26 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.86/1.26 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.86/1.26 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Z, Y, T, U, X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_OpCons'( W, Z, X ), Y,
% 0.86/1.26 'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.86/1.26 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 0.86/1.26 'c_Polynomial_Odegree'( Y, X ), X ), X ), T, X ),
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.86/1.26 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Y,
% 0.86/1.26 'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ), 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ), X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.86/1.26 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.26 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.26 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 0.86/1.26 , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.26 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.26 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.26 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.86/1.26 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.86/1.26 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.26 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 Y, T, X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.86/1.26 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.86/1.26 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.26 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.86/1.26 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.86/1.26 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.86/1.26 ), Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.86/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.86/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.26 ), Y ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.26 ), Y ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.86/1.26 ), Y ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.26 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.86/1.26 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.86/1.26 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.86/1.26 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.86/1.26 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 0.86/1.26 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.26 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 , X ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.86/1.26 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.86/1.26 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.86/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.86/1.26 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.86/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.86/1.26 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.86/1.26 , T, X ), X ), T, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.26 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.86/1.26 Y, Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.86/1.26 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.86/1.26 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.86/1.26 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.86/1.26 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.86/1.26 Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.86/1.26 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.86/1.26 ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.26 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.26 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.86/1.26 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.26 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.26 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.26 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.26 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.26 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.86/1.26 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.26 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.86/1.26 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.86/1.26 X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.86/1.26 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.26 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.26 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.26 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.86/1.26 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.86/1.26 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.86/1.26 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.26 Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.26 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.86/1.26 ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.86/1.26 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.86/1.26 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.86/1.26 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.26 ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.86/1.26 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.86/1.26 X ), Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.86/1.26 , X ), Y ) ],
% 0.86/1.26 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.86/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.86/1.26 X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.86/1.26 ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.86/1.26 ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.86/1.26 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.86/1.26 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.26 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.86/1.26 Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.86/1.26 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.86/1.26 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 0.86/1.26 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.26 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.26 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.26 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.86/1.26 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.86/1.26 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.86/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.86/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.86/1.26 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.26 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.86/1.26 , X ), X ), Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.26 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.86/1.26 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.86/1.26 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.86/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.86/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.86/1.26 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.86/1.26 , X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.86/1.26 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.26 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.26 ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.86/1.26 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.86/1.26 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.86/1.26 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.86/1.26 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.26 ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.26 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.26 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.86/1.26 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.86/1.26 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.26 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.26 ), X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.26 ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.86/1.26 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.86/1.26 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.86/1.26 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Polynomial_Oorder'( Z, Y
% 0.86/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.86/1.26 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.26 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.86/1.26 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.86/1.26 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.86/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.86/1.26 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.86/1.26 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ) ) ],
% 0.86/1.26 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.26 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.86/1.26 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.26 [ ~( =(
% 0.86/1.26 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.86/1.26 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( X,
% 0.86/1.26 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.86/1.26 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.26 [ =( 'c_Polynomial_Opoly'( X,
% 0.86/1.26 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.86/1.26 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ), =( X, 'c_Polynomial_OpCons'(
% 0.86/1.26 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.86/1.26 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 0.86/1.26 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =(
% 0.86/1.26 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ =( 'v_p', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.86/1.26 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.86/1.26 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.86/1.26 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.86/1.26 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 0.86/1.26 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 0.86/1.26 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.86/1.26 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.26 [ =( 'c_Polynomial_Opoly'( 'v_q', X, 'tc_Complex_Ocomplex' ),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.86/1.26 [ ~( =( 'v_q', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.26 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.86/1.26 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.86/1.26 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.86/1.26 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.86/1.26 ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.86/1.26 ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.86/1.26 ,
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.86/1.26 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.86/1.26 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.86/1.26 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.86/1.26 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.86/1.26 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.86/1.26 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.86/1.26 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.26 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.26 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.26 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.26 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.86/1.26 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.26 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.86/1.26 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.26 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.26 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.86/1.26 X ) ) ],
% 0.86/1.26 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 0.86/1.26 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 0.86/1.26 ] .
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 percentage equality = 0.390026, percentage horn = 0.897361
% 0.86/1.26 This is a problem with some equality
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26
% 0.86/1.26 Options Used:
% 0.86/1.26
% 0.86/1.26 useres = 1
% 0.86/1.26 useparamod = 1
% 0.86/1.26 useeqrefl = 1
% 0.86/1.26 useeqfact = 1
% 0.86/1.26 usefactor = 1
% 0.86/1.26 usesimpsplitting = 0
% 0.86/1.26 usesimpdemod = 5
% 0.86/1.26 usesimpres = 3
% 0.86/1.26
% 0.86/1.26 resimpinuse = 1000
% 0.86/1.26 resimpclauses = 20000
% 0.86/1.26 substype = eqrewr
% 0.86/1.26 backwardsubs = 1
% 0.86/1.26 selectoldest = 5
% 0.86/1.26
% 0.86/1.26 litorderings [0] = split
% 0.86/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.26
% 0.86/1.26 termordering = kbo
% 0.86/1.26
% 0.86/1.26 litapriori = 0
% 0.86/1.26 termapriori = 1
% 0.86/1.26 litaposteriori = 0
% 0.86/1.26 termaposteriori = 0
% 0.86/1.26 demodaposteriori = 0
% 0.86/1.26 ordereqreflfact = 0
% 0.86/1.26
% 0.86/1.26 litselect = negord
% 0.86/1.26
% 0.86/1.26 maxweight = 15
% 0.86/1.26 maxdepth = 30000
% 0.86/1.26 maxlength = 115
% 0.86/1.26 maxnrvars = 195
% 0.86/1.26 excuselevel = 1
% 0.86/1.26 increasemaxweight = 1
% 0.86/1.26
% 0.86/1.26 maxselected = 10000000
% 0.86/1.26 maxnrclauses = 10000000
% 0.86/1.26
% 0.86/1.26 showgenerated = 0
% 0.86/1.26 showkept = 0
% 0.86/1.26 showselected = 0
% 0.86/1.26 showdeleted = 0
% 0.86/1.26 showresimp = 1
% 0.86/1.26 showstatus = 2000
% 0.86/1.26
% 0.86/1.26 prologoutput = 1
% 0.86/1.26 nrgoals = 5000000
% 0.86/1.26 totalproof = 1
% 0.86/1.26
% 0.86/1.26 Symbols occurring in the translation:
% 0.86/1.26
% 0.86/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.26 . [1, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.86/1.26 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 0.86/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Osemiring__0' [40, 1] (w:1, o:66, a:1, s:1
% 0.86/1.26 , b:0),
% 0.86/1.26 'class_Power_Opower' [41, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.86/1.26 'c_Power_Opower__class_Opower' [44, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.86/1.26 'tc_nat' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.86/1.26 'class_Divides_Osemiring__div' [46, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Otimes__class_Otimes' [48, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.86/1.26 'c_Divides_Odiv__class_Odiv' [50, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Oplus__class_Oplus' [51, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.86/1.26 'c_Divides_Odiv__class_Omod' [52, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.86/1.26 'class_OrderedGroup_Ogroup__add' [53, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.86/1.26
% 0.86/1.26 'c_HOL_Ouminus__class_Ouminus' [54, 2] (w:1, o:149, a:1, s:1, b:0),
% 0.86/1.26 'class_OrderedGroup_Oab__group__add' [55, 1] (w:1, o:68, a:1, s:1, b:
% 0.86/1.26 0),
% 0.86/1.26 'tc_Polynomial_Opoly' [57, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.86/1.26 'c_Polynomial_Odegree' [58, 2] (w:1, o:152, a:1, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__1' [59, 1] (w:1, o:91, a:1
% 0.86/1.26 , s:1, b:0),
% 0.86/1.26 'c_Ring__and__Field_Odvd__class_Odvd' [61, 3] (w:1, o:164, a:1, s:1
% 0.86/1.26 , b:0),
% 0.86/1.26 'class_HOL_Ozero' [62, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.86/1.26 'c_Polynomial_OpCons' [63, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.86/1.26 'class_HOL_Oeq' [65, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Oeq__class_Oeq' [66, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.86/1.26 'class_RealVector_Oreal__normed__field' [67, 1] (w:1, o:94, a:1, s:1
% 0.86/1.26 , b:0),
% 0.86/1.26 'c_HOL_Oinverse__class_Oinverse' [68, 2] (w:1, o:153, a:1, s:1, b:0)
% 0.86/1.26 ,
% 0.86/1.26 'c_HOL_Ominus__class_Ominus' [69, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.86/1.26 'c_HOL_Oinverse__class_Odivide' [71, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.86/1.26
% 0.86/1.26 'class_Ring__and__Field_Ofield' [72, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Odivision__by__zero' [73, 1] (w:1, o:97, a:1
% 0.86/1.26 , s:1, b:0),
% 0.86/1.26 'class_OrderedGroup_Olordered__ab__group__add' [74, 1] (w:1, o:69, a:
% 0.86/1.26 1, s:1, b:0),
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [75, 2] (w:1
% 0.86/1.26 , o:150, a:1, s:1, b:0),
% 0.86/1.26 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [76, 2] (w:1
% 0.86/1.26 , o:151, a:1, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Oidom' [77, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.86/1.26 'class_Int_Onumber__ring' [78, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Oordered__ring__strict' [82, 1] (w:1, o:102
% 0.86/1.26 , a:1, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Odivision__ring' [84, 1] (w:1, o:103, a:1, s:
% 0.86/1.26 1, b:0),
% 0.86/1.26 'c_HOL_Oone__class_Oone' [85, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Oordered__idom' [86, 1] (w:1, o:105, a:1, s:1
% 0.86/1.26 , b:0),
% 0.86/1.26 'c_Polynomial_Opos__poly' [87, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.86/1.26 'class_Ring__and__Field_Ocomm__semiring__0' [88, 1] (w:1, o:90, a:1
% 0.86/1.26 , s:1, b:0),
% 0.86/1.26 'c_Polynomial_Osmult' [89, 3] (w:1, o:170, a:1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Oab__semigroup__idem__mult' [90, 1] (w:1, o:70
% 4.29/4.64 , a:1, s:1, b:0),
% 4.29/4.64 'c_Pair' [92, 4] (w:1, o:180, a:1, s:1, b:0),
% 4.29/4.64 'c_Polynomial_Omonom' [95, 3] (w:1, o:171, a:1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Ocomm__monoid__mult' [96, 1] (w:1, o:71, a:1, s:1
% 4.29/4.64 , b:0),
% 4.29/4.64 'class_Ring__and__Field_Odvd' [97, 1] (w:1, o:106, a:1, s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Ocomm__ring' [98, 1] (w:1, o:88, a:1, s:1, b:
% 4.29/4.64 0),
% 4.29/4.64 'class_Divides_Oring__div' [102, 1] (w:1, o:85, a:1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Oab__semigroup__mult' [103, 1] (w:1, o:72, a:1
% 4.29/4.64 , s:1, b:0),
% 4.29/4.64 'class_RealVector_Oreal__normed__algebra' [109, 1] (w:1, o:107, a:1
% 4.29/4.64 , s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Ocomm__semiring' [112, 1] (w:1, o:96, a:1, s:
% 4.29/4.64 1, b:0),
% 4.29/4.64 'c_Polynomial_Ocoeff' [113, 3] (w:1, o:172, a:1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Opordered__ab__group__add__abs' [114, 1] (w:1, o:
% 4.29/4.64 74, a:1, s:1, b:0),
% 4.29/4.64 'c_HOL_Oabs__class_Oabs' [115, 2] (w:1, o:155, a:1, s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Ozero__neq__one' [116, 1] (w:1, o:108, a:1
% 4.29/4.64 , s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Ono__zero__divisors' [117, 1] (w:1, o:101, a:
% 4.29/4.64 1, s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Omult__zero' [118, 1] (w:1, o:100, a:1, s:1
% 4.29/4.64 , b:0),
% 4.29/4.64 'class_Ring__and__Field_Oring' [120, 1] (w:1, o:62, a:1, s:1, b:0),
% 4.29/4.64 'class_RealVector_Oreal__normed__vector' [121, 1] (w:1, o:109, a:1
% 4.29/4.64 , s:1, b:0),
% 4.29/4.64 'c_HOL_Osgn__class_Osgn' [122, 2] (w:1, o:156, a:1, s:1, b:0),
% 4.29/4.64 'class_RealVector_Oreal__vector' [123, 1] (w:1, o:110, a:1, s:1, b:0)
% 4.29/4.64 ,
% 4.29/4.64 'c_RealVector_OscaleR__class_OscaleR' [124, 3] (w:1, o:173, a:1, s:1
% 4.29/4.64 , b:0),
% 4.29/4.64 'c_Polynomial_Opdivmod__rel' [128, 5] (w:1, o:181, a:1, s:1, b:0),
% 4.29/4.64 'class_Lattices_Oboolean__algebra' [130, 1] (w:1, o:111, a:1, s:1, b:
% 4.29/4.64 0),
% 4.29/4.64 'class_Ring__and__Field_Ocomm__ring__1' [131, 1] (w:1, o:89, a:1, s:1
% 4.29/4.64 , b:0),
% 4.29/4.64 'c_Polynomial_Osynthetic__div' [132, 3] (w:1, o:174, a:1, s:1, b:0),
% 4.29/4.64
% 4.29/4.64 'c_Polynomial_Opoly' [133, 3] (w:1, o:175, a:1, s:1, b:0),
% 4.29/4.64 'c_Polynomial_Opoly__gcd' [134, 3] (w:1, o:176, a:1, s:1, b:0),
% 4.29/4.64 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [137, 3]
% 4.29/4.64 (w:1, o:177, a:1, s:1, b:0),
% 4.29/4.64 'class_SEQ_Obanach' [138, 1] (w:1, o:119, a:1, s:1, b:0),
% 4.29/4.64 'c_Transcendental_Oexp' [139, 2] (w:1, o:157, a:1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Omonoid__mult' [140, 1] (w:1, o:76, a:1, s:1, b:0
% 4.29/4.64 ),
% 4.29/4.64 'class_OrderedGroup_Olordered__ab__group__add__abs' [141, 1] (w:1, o:
% 4.29/4.64 75, a:1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Ocomm__monoid__add' [142, 1] (w:1, o:77, a:1, s:1
% 4.29/4.64 , b:0),
% 4.29/4.64 'class_OrderedGroup_Oab__semigroup__add' [143, 1] (w:1, o:78, a:1, s:
% 4.29/4.64 1, b:0),
% 4.29/4.64 'class_OrderedGroup_Ocancel__ab__semigroup__add' [144, 1] (w:1, o:79
% 4.29/4.64 , a:1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Ocancel__semigroup__add' [145, 1] (w:1, o:80, a:1
% 4.29/4.64 , s:1, b:0),
% 4.29/4.64 'class_RealVector_Oreal__algebra' [146, 1] (w:1, o:112, a:1, s:1, b:0
% 4.29/4.64 ),
% 4.29/4.64 'class_Ring__and__Field_Oordered__field' [147, 1] (w:1, o:113, a:1
% 4.29/4.64 , s:1, b:0),
% 4.29/4.64 'c_Polynomial_Opcompose' [149, 3] (w:1, o:178, a:1, s:1, b:0),
% 4.29/4.64 'class_RealVector_Oreal__field' [150, 1] (w:1, o:114, a:1, s:1, b:0)
% 4.29/4.64 ,
% 4.29/4.64 'class_Ring__and__Field_Osemiring' [153, 1] (w:1, o:115, a:1, s:1, b:
% 4.29/4.64 0),
% 4.29/4.64 'class_RealVector_Oreal__normed__algebra__1' [154, 1] (w:1, o:116, a:
% 4.29/4.64 1, s:1, b:0),
% 4.29/4.64 'class_OrderedGroup_Oordered__ab__group__add' [157, 1] (w:1, o:73, a:
% 4.29/4.64 1, s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Osgn__if' [158, 1] (w:1, o:117, a:1, s:1, b:0
% 4.29/4.64 ),
% 4.29/4.64 'class_Ring__and__Field_Oring__no__zero__divisors' [159, 1] (w:1, o:
% 4.29/4.64 63, a:1, s:1, b:0),
% 4.29/4.64 'c_Complex_Ocnj' [160, 1] (w:1, o:120, a:1, s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Oring__1' [162, 1] (w:1, o:64, a:1, s:1, b:0)
% 4.29/4.64 ,
% 4.29/4.64 'class_RealVector_Oreal__normed__div__algebra' [163, 1] (w:1, o:118
% 4.29/4.64 , a:1, s:1, b:0),
% 4.29/4.64 'class_Ring__and__Field_Oring__1__no__zero__divisors' [165, 1] (w:1
% 4.29/4.64 , o:65, a:1, s:1, b:0),
% 27.59/28.03 'class_OrderedGroup_Omonoid__add' [166, 1] (w:1, o:81, a:1, s:1, b:0)
% 27.59/28.03 ,
% 27.59/28.03 'c_Polynomial_Osynthetic__divmod' [167, 3] (w:1, o:179, a:1, s:1, b:0
% 27.59/28.03 ),
% 27.59/28.03 'c_Polynomial_Oorder' [168, 3] (w:1, o:165, a:1, s:1, b:0),
% 27.59/28.03 'c_Complex_Oii' [169, 0] (w:1, o:49, a:1, s:1, b:0),
% 27.59/28.03 'tc_Complex_Ocomplex' [170, 0] (w:1, o:50, a:1, s:1, b:0),
% 27.59/28.03
% 27.59/28.03 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'
% 27.59/28.03 [171, 1] (w:1, o:121, a:1, s:1, b:0),
% 27.59/28.03
% 27.59/28.03 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'
% 27.59/28.03 [172, 1] (w:1, o:122, a:1, s:1, b:0),
% 27.59/28.03 'v_p' [173, 0] (w:1, o:51, a:1, s:1, b:0),
% 27.59/28.03 't_a' [174, 0] (w:1, o:52, a:1, s:1, b:0),
% 27.59/28.03
% 27.59/28.03 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 27.59/28.03 [175, 1] (w:1, o:123, a:1, s:1, b:0),
% 27.59/28.03 'v_q' [176, 0] (w:1, o:53, a:1, s:1, b:0),
% 27.59/28.03 'class_OrderedGroup_Ocancel__comm__monoid__add' [178, 1] (w:1, o:82
% 27.59/28.03 , a:1, s:1, b:0),
% 27.59/28.03 'tc_RealDef_Oreal' [179, 0] (w:1, o:55, a:1, s:1, b:0),
% 27.59/28.03 'tc_prod' [181, 2] (w:1, o:158, a:1, s:1, b:0).
% 27.59/28.03
% 27.59/28.03
% 27.59/28.03 Starting Search:
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03
% 27.59/28.03 Intermediate Status:
% 27.59/28.03 Generated: 7162
% 27.59/28.03 Kept: 2145
% 27.59/28.03 Inuse: 101
% 27.59/28.03 Deleted: 0
% 27.59/28.03 Deletedinuse: 0
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03
% 27.59/28.03 Intermediate Status:
% 27.59/28.03 Generated: 13580
% 27.59/28.03 Kept: 4146
% 27.59/28.03 Inuse: 176
% 27.59/28.03 Deleted: 0
% 27.59/28.03 Deletedinuse: 0
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03
% 27.59/28.03 Intermediate Status:
% 27.59/28.03 Generated: 21756
% 27.59/28.03 Kept: 6155
% 27.59/28.03 Inuse: 244
% 27.59/28.03 Deleted: 0
% 27.59/28.03 Deletedinuse: 0
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03
% 27.59/28.03 Intermediate Status:
% 27.59/28.03 Generated: 30156
% 27.59/28.03 Kept: 8496
% 27.59/28.03 Inuse: 291
% 27.59/28.03 Deleted: 0
% 27.59/28.03 Deletedinuse: 0
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03
% 27.59/28.03 Intermediate Status:
% 27.59/28.03 Generated: 38832
% 27.59/28.03 Kept: 10536
% 27.59/28.03 Inuse: 330
% 27.59/28.03 Deleted: 1
% 27.59/28.03 Deletedinuse: 0
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03 Resimplifying inuse:
% 27.59/28.03 Done
% 27.59/28.03
% 27.59/28.03
% 27.59/28.03 Intermediate Status:
% 27.59/28.03 Generated: 46615
% 27.66/28.03 Kept: 12538
% 27.66/28.03 Inuse: 406
% 27.66/28.03 Deleted: 2
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 58169
% 27.66/28.03 Kept: 14539
% 27.66/28.03 Inuse: 439
% 27.66/28.03 Deleted: 2
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 69460
% 27.66/28.03 Kept: 16693
% 27.66/28.03 Inuse: 464
% 27.66/28.03 Deleted: 2
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 89017
% 27.66/28.03 Kept: 19628
% 27.66/28.03 Inuse: 503
% 27.66/28.03 Deleted: 3
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying clauses:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 99632
% 27.66/28.03 Kept: 21685
% 27.66/28.03 Inuse: 538
% 27.66/28.03 Deleted: 78
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 115980
% 27.66/28.03 Kept: 23699
% 27.66/28.03 Inuse: 623
% 27.66/28.03 Deleted: 78
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 132629
% 27.66/28.03 Kept: 25704
% 27.66/28.03 Inuse: 677
% 27.66/28.03 Deleted: 78
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 145400
% 27.66/28.03 Kept: 28186
% 27.66/28.03 Inuse: 718
% 27.66/28.03 Deleted: 78
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 172063
% 27.66/28.03 Kept: 30839
% 27.66/28.03 Inuse: 758
% 27.66/28.03 Deleted: 78
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 189164
% 27.66/28.03 Kept: 33561
% 27.66/28.03 Inuse: 790
% 27.66/28.03 Deleted: 81
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 203848
% 27.66/28.03 Kept: 35575
% 27.66/28.03 Inuse: 825
% 27.66/28.03 Deleted: 81
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 230162
% 27.66/28.03 Kept: 38042
% 27.66/28.03 Inuse: 845
% 27.66/28.03 Deleted: 81
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 27.66/28.03 Done
% 27.66/28.03
% 27.66/28.03
% 27.66/28.03 Intermediate Status:
% 27.66/28.03 Generated: 249304
% 27.66/28.03 Kept: 40163
% 27.66/28.03 Inuse: 875
% 27.66/28.03 Deleted: 81
% 27.66/28.03 Deletedinuse: 0
% 27.66/28.03
% 27.66/28.03 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying clauses:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 289590
% 114.57/115.00 Kept: 42195
% 114.57/115.00 Inuse: 915
% 114.57/115.00 Deleted: 267
% 114.57/115.00 Deletedinuse: 0
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 315508
% 114.57/115.00 Kept: 44209
% 114.57/115.00 Inuse: 965
% 114.57/115.00 Deleted: 268
% 114.57/115.00 Deletedinuse: 1
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 325124
% 114.57/115.00 Kept: 46996
% 114.57/115.00 Inuse: 966
% 114.57/115.00 Deleted: 268
% 114.57/115.00 Deletedinuse: 1
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 342658
% 114.57/115.00 Kept: 49283
% 114.57/115.00 Inuse: 975
% 114.57/115.00 Deleted: 268
% 114.57/115.00 Deletedinuse: 1
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 371479
% 114.57/115.00 Kept: 51972
% 114.57/115.00 Inuse: 985
% 114.57/115.00 Deleted: 268
% 114.57/115.00 Deletedinuse: 1
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 394249
% 114.57/115.00 Kept: 54728
% 114.57/115.00 Inuse: 1035
% 114.57/115.00 Deleted: 269
% 114.57/115.00 Deletedinuse: 2
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 414505
% 114.57/115.00 Kept: 57490
% 114.57/115.00 Inuse: 1070
% 114.57/115.00 Deleted: 269
% 114.57/115.00 Deletedinuse: 2
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 429176
% 114.57/115.00 Kept: 59495
% 114.57/115.00 Inuse: 1099
% 114.57/115.00 Deleted: 269
% 114.57/115.00 Deletedinuse: 2
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying clauses:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 442866
% 114.57/115.00 Kept: 62168
% 114.57/115.00 Inuse: 1125
% 114.57/115.00 Deleted: 376
% 114.57/115.00 Deletedinuse: 2
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 463254
% 114.57/115.00 Kept: 65151
% 114.57/115.00 Inuse: 1170
% 114.57/115.00 Deleted: 376
% 114.57/115.00 Deletedinuse: 2
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 479738
% 114.57/115.00 Kept: 67246
% 114.57/115.00 Inuse: 1205
% 114.57/115.00 Deleted: 376
% 114.57/115.00 Deletedinuse: 2
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 496665
% 114.57/115.00 Kept: 69879
% 114.57/115.00 Inuse: 1255
% 114.57/115.00 Deleted: 377
% 114.57/115.00 Deletedinuse: 3
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 507886
% 114.57/115.00 Kept: 71896
% 114.57/115.00 Inuse: 1278
% 114.57/115.00 Deleted: 377
% 114.57/115.00 Deletedinuse: 3
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 521724
% 114.57/115.00 Kept: 74022
% 114.57/115.00 Inuse: 1295
% 114.57/115.00 Deleted: 377
% 114.57/115.00 Deletedinuse: 3
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 537361
% 114.57/115.00 Kept: 76377
% 114.57/115.00 Inuse: 1325
% 114.57/115.00 Deleted: 377
% 114.57/115.00 Deletedinuse: 3
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 571162
% 114.57/115.00 Kept: 79420
% 114.57/115.00 Inuse: 1385
% 114.57/115.00 Deleted: 379
% 114.57/115.00 Deletedinuse: 5
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying clauses:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 585250
% 114.57/115.00 Kept: 81429
% 114.57/115.00 Inuse: 1409
% 114.57/115.00 Deleted: 729
% 114.57/115.00 Deletedinuse: 5
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 596651
% 114.57/115.00 Kept: 83497
% 114.57/115.00 Inuse: 1440
% 114.57/115.00 Deleted: 730
% 114.57/115.00 Deletedinuse: 6
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 632376
% 114.57/115.00 Kept: 86748
% 114.57/115.00 Inuse: 1460
% 114.57/115.00 Deleted: 730
% 114.57/115.00 Deletedinuse: 6
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 640094
% 114.57/115.00 Kept: 89593
% 114.57/115.00 Inuse: 1465
% 114.57/115.00 Deleted: 730
% 114.57/115.00 Deletedinuse: 6
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 651181
% 114.57/115.00 Kept: 92859
% 114.57/115.00 Inuse: 1480
% 114.57/115.00 Deleted: 730
% 114.57/115.00 Deletedinuse: 6
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 668134
% 114.57/115.00 Kept: 94988
% 114.57/115.00 Inuse: 1530
% 114.57/115.00 Deleted: 732
% 114.57/115.00 Deletedinuse: 8
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 688680
% 114.57/115.00 Kept: 96994
% 114.57/115.00 Inuse: 1579
% 114.57/115.00 Deleted: 735
% 114.57/115.00 Deletedinuse: 8
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 708578
% 114.57/115.00 Kept: 99318
% 114.57/115.00 Inuse: 1607
% 114.57/115.00 Deleted: 735
% 114.57/115.00 Deletedinuse: 8
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying inuse:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00 Resimplifying clauses:
% 114.57/115.00 Done
% 114.57/115.00
% 114.57/115.00
% 114.57/115.00 Intermediate Status:
% 114.57/115.00 Generated: 723363
% 114.57/115.00 Kept: 1014Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------