TSTP Solution File: ALG437-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG437-1 : 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 12:10:57 EDT 2022
% Result : Timeout 300.04s 300.72s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG437-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Wed Jun 8 00:23:35 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.88/1.24 *** allocated 10000 integers for termspace/termends
% 0.88/1.24 *** allocated 10000 integers for clauses
% 0.88/1.24 *** allocated 10000 integers for justifications
% 0.88/1.24 *** allocated 15000 integers for termspace/termends
% 0.88/1.24 Bliksem 1.12
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 Automatic Strategy Selection
% 0.88/1.24
% 0.88/1.24 Clauses:
% 0.88/1.24 [
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.88/1.24 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 , Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =(
% 0.88/1.24 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ), 'c_fequal'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oeq'( X ) ), =( 'c_HOL_Oeq__class_Oeq'( X ), 'c_fequal'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.88/1.24 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ) ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), Y ) ), ~(
% 0.88/1.24 hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( Z, Y, X ) ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.88/1.24 X ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.88/1.24 , X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.88/1.24 , X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.24 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), Z ) ) ), ~(
% 0.88/1.24 hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 hAPP( 'c_Polynomial_Ocoeff'( Y, X ), T ), hAPP( 'c_Polynomial_Ocoeff'( Z
% 0.88/1.24 , X ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OAbs__poly'(
% 0.88/1.24 'c_Polynomial_Ocoeff'( Y, X ), X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.88/1.24 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.88/1.24 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_Polynomial_OpCons'( hAPP( 'c_Polynomial_Opoly'( Z, X ), T ),
% 0.88/1.24 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_Opoly__gcd'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.88/1.24 'c_Polynomial_Odegree'( 'c_Polynomial_Opoly__gcd'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.24 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ) ), 'c_Polynomial_OpCons'( T, U, X ) ) )
% 0.88/1.24 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( X ), Y
% 0.88/1.24 ), T ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.88/1.24 'class_Int_Oring__char__0'( X ) ), ~( =( 'c_Polynomial_Odegree'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant'(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), X, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.88/1.24 'class_Int_Oring__char__0'( X ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant'(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), X, X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 0.88/1.24 ), T ), hAPP( 'c_Polynomial_Opoly'( Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 Z, T, X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 0.88/1.24 ), 'c_Polynomial_Odegree'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.24 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.24 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , Y, X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.24 , Z, X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.24 , Z, X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.88/1.24 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.88/1.24 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_Polynomial_Osmult'( T,
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.88/1.24 ), 'c_Polynomial_OpCons'( Y,
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.88/1.24 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), T ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Polynomial_Ocoeff'( Z, X ), T )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_Polynomial_Omonom'( Y, Z, X ), X ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.88/1.24 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.88/1.24 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.88/1.24 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.24 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.88/1.24 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.88/1.24 , V4 ), W ) ) ],
% 0.88/1.24 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.88/1.24 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y, X ),
% 0.88/1.24 'c_Polynomial_Ocoeff'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.88/1.24 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.24 T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.24 T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 hAPP( 'c_Polynomial_Ocoeff'( Y, X ), Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.24 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.88/1.24 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.88/1.24 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.88/1.24 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.88/1.24 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.24 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.88/1.24 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Y, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.88/1.24 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ), Y ), Y ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'(
% 0.88/1.24 X ), Y ), Y ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.88/1.24 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ),
% 0.88/1.24 'c_Polynomial_Odegree'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ) ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ),
% 0.88/1.24 'c_Polynomial_Odegree'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ) ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.24 , X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.24 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_HOL_Oeq'( X ) ), =( 'c_fequal'( X ), 'c_HOL_Oeq__class_Oeq'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.24 X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.24 X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.24 X ) ) ), =( Y, T ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Oplus__class_Oplus'( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( Y, X ), T ), hAPP( 'c_Polynomial_Ocoeff'( Z, X ),
% 0.88/1.24 T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.88/1.24 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.88/1.24 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.88/1.24 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.88/1.24 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.88/1.24 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.88/1.24 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), Y ) ],
% 0.88/1.24 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.24 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.24 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 hAPP( 'c_Polynomial_Opoly'( Y, X ), Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.24 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.88/1.24 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( hAPP( 'c_Polynomial_Opoly'( Z, X ), Y ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.88/1.24 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.88/1.24 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( Z, Y, T, U, X ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_OpCons'( W, Z, X ), Y,
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ), X ),
% 0.88/1.24 'c_Polynomial_Odegree'( Y, X ) ), hAPP( 'c_Polynomial_Ocoeff'( Y, X ),
% 0.88/1.24 'c_Polynomial_Odegree'( Y, X ) ), X ), T, X ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( W, U, X ),
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_OpCons'( W, U, X ), X ),
% 0.88/1.24 'c_Polynomial_Odegree'( Y, X ) ), hAPP( 'c_Polynomial_Ocoeff'( Y, X ),
% 0.88/1.24 'c_Polynomial_Odegree'( Y, X ) ), X ), Y, X ), 'tc_Polynomial_Opoly'( X )
% 0.88/1.24 ), X ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), T ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Polynomial_Opoly'( Z, X ), T )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 0.88/1.24 , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.24 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.24 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, T, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 hAPP( 'c_Polynomial_Opoly'( Y, X ), T ), hAPP( 'c_Polynomial_Opoly'( Z, X
% 0.88/1.24 ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.88/1.24 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), 'c_Polynomial_OpCons'( hAPP( 'c_Polynomial_Opoly'( Y, X ), Z ),
% 0.88/1.24 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.88/1.24 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.88/1.24 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.88/1.24 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.88/1.24 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.88/1.24 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.88/1.24 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.24 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.88/1.24 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.24 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( Y, T, X ) ), 'c_Polynomial_OpCons'( Z, U, X ) ) )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ), Y ), Z ) ),
% 0.88/1.24 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X )
% 0.88/1.24 ), 'c_Polynomial_OpCons'( T, Y, X ) ), 'c_Polynomial_OpCons'( U, Z, X )
% 0.88/1.24 ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.24 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.24 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.24 , X ), W, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 hAPP( 'c_Polynomial_Opoly'( Y, X ), T ), hAPP( 'c_Polynomial_Opoly'( Z, X
% 0.88/1.24 ), T ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.88/1.24 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.88/1.24 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Oplus__class_Oplus'( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), T ), hAPP( 'c_Polynomial_Opoly'( Z, X ), T
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.88/1.24 ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.24 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.88/1.24 ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.24 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.24 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.24 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ), Y ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), ~( hBOOL(
% 0.88/1.24 hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( Z, Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ) ) ],
% 0.88/1.24 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.88/1.24 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.88/1.24 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.88/1.24 , hAPP( 'c_Polynomial_Opoly'( Y, X ), Z ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.88/1.24 ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.24 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ), Z ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ) ), ~( hBOOL(
% 0.88/1.24 hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.88/1.24 hBOOL( hAPP( hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 Y ), Z ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.24 'c_HOL_Oeq__class_Oeq'( X ), Y ), Z ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_nat' ) ), Y ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.88/1.24 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.88/1.24 ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.88/1.24 ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.88/1.24 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.88/1.24 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ) ) ],
% 0.88/1.24 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant'( X, 't_a', 't_b' )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.88/1.24 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( Y, X ), 'c_Polynomial_Odegree'( Y, X ) ), hAPP(
% 0.88/1.24 'c_Polynomial_Ocoeff'( Z, X ), 'c_Polynomial_Odegree'( Z, X ) ) ) ), =( Y
% 0.88/1.24 , Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.88/1.24 Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), T ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T, hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Z, X ), T ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.88/1.24 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.88/1.24 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.88/1.24 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.24 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.88/1.24 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 0.88/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.24 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OAbs__poly'( 'c_COMBK'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X, 'tc_nat' ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( hAPP( hAPP( hAPP( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ), Z ), Z ) ), =( 'c_Polynomial_Opoly__rec'(
% 0.88/1.24 Z, Y, 'c_Polynomial_OpCons'( T, U, X ), W, X ), hAPP( hAPP( hAPP( Y, T )
% 0.88/1.24 , U ), 'c_Polynomial_Opoly__rec'( Z, Y, U, W, X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( hAPP( 'c_Polynomial_Ocoeff'( Y, X )
% 0.88/1.24 , 'c_Polynomial_Odegree'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Oorder'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__2'( X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ),
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant'(
% 0.88/1.24 'c_Polynomial_Opoly'( X, 't_a' ), 't_a', 't_a' ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.88/1.24 , 'v_x' ) ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.88/1.24 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.88/1.24 X, 'v_x' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), hBOOL( hAPP(
% 0.88/1.24 hAPP( 'c_HOL_Oeq__class_Oeq'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), hBOOL( hAPP( Y, Z ) ), hBOOL( hAPP( Y,
% 0.88/1.24 'c_Polynomial_Osko__Polynomial__XpCons__induct__1__2'( Y, X ) ) ), ~(
% 0.88/1.24 hBOOL( hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.88/1.24 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), X ), T ), hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), hAPP( 'c_Polynomial_Opoly'( Z, X ), T ) ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ ~( =(
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.88/1.24 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.88/1.24 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Polynomial_Opoly'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__1'(
% 0.88/1.24 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ),
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant'(
% 0.88/1.24 'c_Polynomial_Opoly'( X, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex',
% 0.88/1.24 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ =( hAPP( 'c_Polynomial_Opoly'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.88/1.24 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ), =( X,
% 0.88/1.24 'c_Polynomial_OpCons'(
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.88/1.24 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), ~( =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 0.88/1.24 't_a' ),
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'(
% 0.88/1.24 X ) ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Z, X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.88/1.24 't_a' ), 't_a' ),
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 't_a' ) ) ],
% 0.88/1.24 [ =( X, hAPP( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.88/1.24 ), 'tc_Complex_Ocomplex' ), X ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1'(
% 0.88/1.24 X, Y, Z ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ), =( Z
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.88/1.24 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( hAPP( hAPP( hAPP( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ), Z ), Z ) ), =( 'c_Polynomial_Opoly__rec'(
% 0.88/1.24 Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), T, X ), Z
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( hAPP( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), Y ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 0.88/1.24 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( X, 't_a' ), Y ), 'c_HOL_Ozero__class_Ozero'( 't_a'
% 0.88/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.88/1.24 [ ~( =( hAPP( 'c_Polynomial_Opoly'( X, 'tc_Complex_Ocomplex' ), Y ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), Y ), hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), Y ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), Y ), X ) ],
% 0.88/1.24 [ =( X, hAPP( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), Y ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.88/1.24 't_a' ), 't_a' ), X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), ~( =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 0.88/1.24 't_a' ), Y ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 't_a' ) ), 't_a' ),
% 0.88/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__4__1'
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), X ), hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.88/1.24 'class_Int_Oring__char__0'( X ) ), ~( =( 'c_Polynomial_Opoly'( Y, X ),
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.88/1.24 'class_Int_Oring__char__0'( X ) ), ~( =( 'c_Polynomial_Opoly'( Y, X ),
% 0.88/1.24 'c_Polynomial_Opoly'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 =( hAPP( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( =( 'v_p', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ) ), =( 'c_Polynomial_Opoly'( 'v_p',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( =( 'c_Polynomial_Opoly'( 'v_p', 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ), =( 'v_p',
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ =( hAPP( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.88/1.24 , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ ~( =( hAPP( 'c_Polynomial_Opoly'( 'v_p', 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'v_x' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), ~( =(
% 0.88/1.24 'c_Polynomial_Opoly'( 'v_p', 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ) ],
% 0.88/1.24 [ =( 'c_Polynomial_Opoly'( 'v_p', 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ), =( hAPP(
% 0.88/1.24 'c_Polynomial_Opoly'( 'v_p', 'tc_Complex_Ocomplex' ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.24 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_HOL_Oeq'( 'tc_bool' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.88/1.24 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.24 [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.24 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 0.88/1.24 ) ), ~( 'class_HOL_Oeq'( X ) ) ],
% 0.88/1.24 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.88/1.24 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.88/1.24 ] .
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 percentage equality = 0.395366, percentage horn = 0.930016
% 0.88/1.24 This is a problem with some equality
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 Options Used:
% 0.88/1.24
% 0.88/1.24 useres = 1
% 0.88/1.24 useparamod = 1
% 0.88/1.24 useeqrefl = 1
% 0.88/1.24 useeqfact = 1
% 0.88/1.24 usefactor = 1
% 0.88/1.24 usesimpsplitting = 0
% 0.88/1.24 usesimpdemod = 5
% 0.88/1.24 usesimpres = 3
% 0.88/1.24
% 0.88/1.24 resimpinuse = 1000
% 0.88/1.24 resimpclauses = 20000
% 0.88/1.24 substype = eqrewr
% 0.88/1.24 backwardsubs = 1
% 0.88/1.24 selectoldest = 5
% 0.88/1.24
% 0.88/1.24 litorderings [0] = split
% 0.88/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.24
% 0.88/1.24 termordering = kbo
% 0.88/1.24
% 0.88/1.24 litapriori = 0
% 0.88/1.24 termapriori = 1
% 0.88/1.24 litaposteriori = 0
% 0.88/1.24 termaposteriori = 0
% 0.88/1.24 demodaposteriori = 0
% 0.88/1.24 ordereqreflfact = 0
% 0.88/1.24
% 0.88/1.24 litselect = negord
% 0.88/1.24
% 0.88/1.24 maxweight = 15
% 0.88/1.24 maxdepth = 30000
% 0.88/1.24 maxlength = 115
% 0.88/1.24 maxnrvars = 195
% 0.88/1.24 excuselevel = 1
% 0.88/1.24 increasemaxweight = 1
% 0.88/1.24
% 0.88/1.24 maxselected = 10000000
% 0.88/1.24 maxnrclauses = 10000000
% 0.88/1.24
% 0.88/1.24 showgenerated = 0
% 0.88/1.24 showkept = 0
% 0.88/1.24 showselected = 0
% 0.88/1.24 showdeleted = 0
% 0.88/1.24 showresimp = 1
% 0.88/1.24 showstatus = 2000
% 0.88/1.24
% 0.88/1.24 prologoutput = 1
% 0.88/1.24 nrgoals = 5000000
% 0.88/1.24 totalproof = 1
% 0.88/1.24
% 0.88/1.24 Symbols occurring in the translation:
% 0.88/1.24
% 0.88/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.24 . [1, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.88/1.24 ! [4, 1] (w:0, o:71, a:1, s:1, b:0),
% 0.88/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.24 'class_Ring__and__Field_Ofield' [40, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:82, a:1
% 0.88/1.24 , s:1, b:0),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide' [44, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.88/1.24
% 0.88/1.24 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.88/1.24 'class_RealVector_Oreal__normed__vector' [48, 1] (w:1, o:83, a:1, s:1
% 0.88/1.24 , b:0),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus' [49, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn' [50, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.88/1.24 'class_Ring__and__Field_Oring' [51, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.88/1.24 'class_HOL_Ozero' [54, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.88/1.24 'class_HOL_Oeq' [55, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.88/1.24 'tc_Polynomial_Opoly' [56, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.88/1.24 'c_HOL_Oeq__class_Oeq' [57, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.88/1.24 'c_fequal' [58, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.88/1.24 'class_OrderedGroup_Oab__semigroup__idem__mult' [59, 1] (w:1, o:90
% 0.88/1.24 , a:1, s:1, b:0),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero' [60, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.88/1.24 hAPP [61, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.88/1.24 hBOOL [62, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.88/1.24 'c_Polynomial_OpCons' [64, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.88/1.24 'class_Ring__and__Field_Ocomm__semiring__1' [65, 1] (w:1, o:80, a:1
% 0.88/1.24 , s:1, b:0),
% 0.88/1.24 'c_HOL_Oone__class_Oone' [66, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.88/1.24 'c_Ring__and__Field_Odvd__class_Odvd' [67, 3] (w:1, o:186, a:1, s:1
% 0.88/1.24 , b:0),
% 0.88/1.24 'c_Fun_Ofcomp' [72, 5] (w:1, o:203, a:1, s:1, b:0),
% 0.88/1.24 'class_OrderedGroup_Ogroup__add' [73, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.88/1.24
% 0.88/1.24 'c_HOL_Oplus__class_Oplus' [74, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.88/1.24 'class_OrderedGroup_Oab__group__add' [75, 1] (w:1, o:95, a:1, s:1, b:
% 0.88/1.24 0),
% 0.88/1.24 'c_Polynomial_Odegree' [77, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.88/1.24 'class_Lattices_Odistrib__lattice' [78, 1] (w:1, o:96, a:1, s:1, b:0)
% 0.88/1.24 ,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf' [79, 3] (w:1, o:188, a:1
% 0.88/1.24 , s:1, b:0),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup' [80, 3] (w:1, o:189, a:1
% 0.88/1.24 , s:1, b:0),
% 0.88/1.24 'class_Ring__and__Field_Oidom' [82, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.88/1.24 'class_RealVector_Oreal__vector' [83, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.88/1.24
% 0.88/1.24 'c_HOL_Ominus__class_Ominus' [84, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.88/1.24 'c_RealVector_OscaleR__class_OscaleR' [85, 3] (w:1, o:191, a:1, s:1
% 0.88/1.24 , b:0),
% 0.88/1.24 'class_Lattices_Olattice' [87, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.88/1.24 'c_Polynomial_Ocoeff' [88, 2] (w:1, o:173, a:1, s:1, b:0),
% 0.88/1.24 'c_Polynomial_Opdivmod__rel' [93, 5] (w:1, o:204, a:1, s:1, b:0),
% 0.88/1.24 'class_Lattices_Oboolean__algebra' [95, 1] (w:1, o:100, a:1, s:1, b:0
% 0.88/1.24 ),
% 0.88/1.24 'class_OrderedGroup_Olordered__ab__group__add' [100, 1] (w:1, o:101
% 0.88/1.24 , a:1, s:1, b:0),
% 0.88/1.24 'class_Lattices_Olower__semilattice' [101, 1] (w:1, o:102, a:1, s:1
% 0.88/1.24 , b:0),
% 0.88/1.24 'c_Polynomial_OAbs__poly' [102, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.88/1.24 'c_Polynomial_Osmult' [103, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.88/1.24 'tc_nat' [104, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.88/1.24 'class_Ring__and__Field_Ocomm__semiring__0' [105, 1] (w:1, o:79, a:1
% 0.88/1.24 , s:1, b:0),
% 0.88/1.24 'class_RealVector_Oreal__normed__field' [106, 1] (w:1, o:103, a:1, s:
% 0.88/1.24 1, b:0),
% 0.88/1.24 'class_Ring__and__Field_Ocomm__ring__1' [109, 1] (w:1, o:77, a:1, s:1
% 0.88/1.24 , b:0),
% 0.88/1.24 'c_Polynomial_Osynthetic__div' [110, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.88/1.24
% 0.88/1.24 'c_Polynomial_Opoly' [111, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.88/1.24 'c_Polynomial_Opoly__gcd' [112, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.88/1.24 'class_Int_Oring__char__0' [113, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant' [114, 3] (w:1
% 0.88/1.24 , o:195, a:1, s:1, b:0),
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [118, 3]
% 0.88/1.24 (w:1, o:196, a:1, s:1, b:0),
% 3.22/3.64 'class_SEQ_Obanach' [119, 1] (w:1, o:119, a:1, s:1, b:0),
% 3.22/3.64 'c_Transcendental_Oexp' [120, 2] (w:1, o:177, a:1, s:1, b:0),
% 3.22/3.64 'class_OrderedGroup_Omonoid__mult' [121, 1] (w:1, o:122, a:1, s:1, b:
% 3.22/3.64 0),
% 3.22/3.64 'class_OrderedGroup_Ocomm__monoid__mult' [122, 1] (w:1, o:123, a:1
% 3.22/3.64 , s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Odvd' [123, 1] (w:1, o:105, a:1, s:1, b:0),
% 3.22/3.64 'class_Int_Onumber__ring' [125, 1] (w:1, o:124, a:1, s:1, b:0),
% 3.22/3.64 'class_OrderedGroup_Olordered__ab__group__add__join' [126, 1] (w:1
% 3.22/3.64 , o:120, a:1, s:1, b:0),
% 3.22/3.64 'class_Lattices_Oupper__semilattice' [127, 1] (w:1, o:125, a:1, s:1
% 3.22/3.64 , b:0),
% 3.22/3.64 'c_Polynomial_Omonom' [129, 3] (w:1, o:197, a:1, s:1, b:0),
% 3.22/3.64 'class_OrderedGroup_Ocomm__monoid__add' [130, 1] (w:1, o:126, a:1, s:
% 3.22/3.64 1, b:0),
% 3.22/3.64 'class_OrderedGroup_Oab__semigroup__add' [131, 1] (w:1, o:127, a:1
% 3.22/3.64 , s:1, b:0),
% 3.22/3.64 'c_COMBK' [133, 3] (w:1, o:198, a:1, s:1, b:0),
% 3.22/3.64 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [138, 2] (w:1
% 3.22/3.64 , o:171, a:1, s:1, b:0),
% 3.22/3.64 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [139, 2] (w:1
% 3.22/3.64 , o:172, a:1, s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Oordered__ring__strict' [140, 1] (w:1, o:107
% 3.22/3.64 , a:1, s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Oordered__idom' [141, 1] (w:1, o:108, a:1, s:
% 3.22/3.64 1, b:0),
% 3.22/3.64 'c_Polynomial_Opos__poly' [142, 2] (w:1, o:178, a:1, s:1, b:0),
% 3.22/3.64 'c_Pair' [143, 4] (w:1, o:202, a:1, s:1, b:0),
% 3.22/3.64 'c_Fun_Ocomp' [147, 5] (w:1, o:205, a:1, s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Ocomm__ring' [151, 1] (w:1, o:78, a:1, s:1
% 3.22/3.64 , b:0),
% 3.22/3.64 'class_OrderedGroup_Oab__semigroup__mult' [154, 1] (w:1, o:128, a:1
% 3.22/3.64 , s:1, b:0),
% 3.22/3.64 'class_RealVector_Oreal__normed__algebra' [155, 1] (w:1, o:109, a:1
% 3.22/3.64 , s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Ocomm__semiring' [156, 1] (w:1, o:81, a:1, s:
% 3.22/3.64 1, b:0),
% 3.22/3.64 'class_OrderedGroup_Ocancel__ab__semigroup__add' [157, 1] (w:1, o:129
% 3.22/3.64 , a:1, s:1, b:0),
% 3.22/3.64 'class_OrderedGroup_Ocancel__semigroup__add' [158, 1] (w:1, o:130, a:
% 3.22/3.64 1, s:1, b:0),
% 3.22/3.64 'class_OrderedGroup_Olordered__ab__group__add__meet' [159, 1] (w:1
% 3.22/3.64 , o:121, a:1, s:1, b:0),
% 3.22/3.64 'class_RealVector_Oreal__algebra' [160, 1] (w:1, o:110, a:1, s:1, b:0
% 3.22/3.64 ),
% 3.22/3.64 'class_Ring__and__Field_Osemiring' [161, 1] (w:1, o:112, a:1, s:1, b:
% 3.22/3.64 0),
% 3.22/3.64 'class_RealVector_Oreal__normed__algebra__1' [162, 1] (w:1, o:113, a:
% 3.22/3.64 1, s:1, b:0),
% 3.22/3.64 'c_Fun_Oid' [163, 1] (w:1, o:131, a:1, s:1, b:0),
% 3.22/3.64 'class_OrderedGroup_Oordered__ab__group__add' [166, 1] (w:1, o:132
% 3.22/3.64 , a:1, s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Osgn__if' [167, 1] (w:1, o:114, a:1, s:1, b:0
% 3.22/3.64 ),
% 3.22/3.64 'class_Ring__and__Field_Oring__no__zero__divisors' [168, 1] (w:1, o:
% 3.22/3.64 111, a:1, s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Omult__zero' [169, 1] (w:1, o:115, a:1, s:1
% 3.22/3.64 , b:0),
% 3.22/3.64 'class_Ring__and__Field_Ozero__neq__one' [170, 1] (w:1, o:116, a:1
% 3.22/3.64 , s:1, b:0),
% 3.22/3.64 'class_Ring__and__Field_Ono__zero__divisors' [171, 1] (w:1, o:106, a:
% 3.22/3.64 1, s:1, b:0),
% 3.22/3.64 'c_Polynomial_Opcompose' [173, 3] (w:1, o:199, a:1, s:1, b:0),
% 3.22/3.64 'class_RealVector_Oreal__field' [174, 1] (w:1, o:117, a:1, s:1, b:0)
% 3.22/3.64 ,
% 3.22/3.64 'c_Complex_Ocnj' [175, 1] (w:1, o:133, a:1, s:1, b:0),
% 3.22/3.64 'c_Complex_Oii' [177, 0] (w:1, o:58, a:1, s:1, b:0),
% 3.22/3.64 'tc_Complex_Ocomplex' [178, 0] (w:1, o:59, a:1, s:1, b:0),
% 3.22/3.64 't_a' [179, 0] (w:1, o:60, a:1, s:1, b:0),
% 3.22/3.64 'v_x' [180, 0] (w:1, o:61, a:1, s:1, b:0),
% 3.22/3.64 't_b' [181, 0] (w:1, o:62, a:1, s:1, b:0),
% 3.22/3.64 'class_RealVector_Oreal__normed__div__algebra' [182, 1] (w:1, o:118
% 3.22/3.64 , a:1, s:1, b:0),
% 3.22/3.64 'class_OrderedGroup_Omonoid__add' [183, 1] (w:1, o:134, a:1, s:1, b:0
% 3.22/3.64 ),
% 3.22/3.64 'c_Polynomial_Osynthetic__divmod' [184, 3] (w:1, o:200, a:1, s:1, b:0
% 3.22/3.64 ),
% 3.22/3.64 'c_Polynomial_Opoly__rec' [185, 5] (w:1, o:206, a:1, s:1, b:0),
% 3.22/3.64 'c_Polynomial_Oorder' [186, 3] (w:1, o:184, a:1, s:1, b:0),
% 3.22/3.64 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__2' [
% 3.22/3.64 187, 1] (w:1, o:135, a:1, s:1, b:0),
% 3.22/3.64 'c_Polynomial_Osko__Polynomial__XpCons__induct__1__2' [188, 2] (w:1
% 29.53/29.94 , o:179, a:1, s:1, b:0),
% 29.53/29.94
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'
% 29.53/29.94 [189, 1] (w:1, o:136, a:1, s:1, b:0),
% 29.53/29.94
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'
% 29.53/29.94 [190, 1] (w:1, o:137, a:1, s:1, b:0),
% 29.53/29.94
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__1'
% 29.53/29.94 [191, 1] (w:1, o:138, a:1, s:1, b:0),
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'
% 29.53/29.94 [192, 1] (w:1, o:139, a:1, s:1, b:0),
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'
% 29.53/29.94 [193, 1] (w:1, o:140, a:1, s:1, b:0),
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1' [
% 29.53/29.94 194, 3] (w:1, o:201, a:1, s:1, b:0),
% 29.53/29.94
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 29.53/29.94 [195, 1] (w:1, o:141, a:1, s:1, b:0),
% 29.53/29.94 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__4__1'
% 29.53/29.94 [196, 0] (w:1, o:63, a:1, s:1, b:0),
% 29.53/29.94 'v_p' [197, 0] (w:1, o:64, a:1, s:1, b:0),
% 29.53/29.94 'class_OrderedGroup_Ocancel__comm__monoid__add' [199, 1] (w:1, o:142
% 29.53/29.94 , a:1, s:1, b:0),
% 29.53/29.94 'tc_RealDef_Oreal' [200, 0] (w:1, o:66, a:1, s:1, b:0),
% 29.53/29.94 'tc_prod' [202, 2] (w:1, o:180, a:1, s:1, b:0),
% 29.53/29.94 'tc_fun' [203, 2] (w:1, o:181, a:1, s:1, b:0),
% 29.53/29.94 'tc_bool' [204, 0] (w:1, o:68, a:1, s:1, b:0).
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Starting Search:
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 5790
% 29.53/29.94 Kept: 2111
% 29.53/29.94 Inuse: 170
% 29.53/29.94 Deleted: 1
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 13370
% 29.53/29.94 Kept: 4528
% 29.53/29.94 Inuse: 249
% 29.53/29.94 Deleted: 7
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 20583
% 29.53/29.94 Kept: 6537
% 29.53/29.94 Inuse: 342
% 29.53/29.94 Deleted: 8
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 30659
% 29.53/29.94 Kept: 8567
% 29.53/29.94 Inuse: 452
% 29.53/29.94 Deleted: 9
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 39637
% 29.53/29.94 Kept: 10825
% 29.53/29.94 Inuse: 511
% 29.53/29.94 Deleted: 10
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 54906
% 29.53/29.94 Kept: 13171
% 29.53/29.94 Inuse: 562
% 29.53/29.94 Deleted: 14
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 66380
% 29.53/29.94 Kept: 15174
% 29.53/29.94 Inuse: 588
% 29.53/29.94 Deleted: 14
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 77438
% 29.53/29.94 Kept: 17473
% 29.53/29.94 Inuse: 611
% 29.53/29.94 Deleted: 15
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 90401
% 29.53/29.94 Kept: 19476
% 29.53/29.94 Inuse: 632
% 29.53/29.94 Deleted: 15
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying clauses:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 104872
% 29.53/29.94 Kept: 21848
% 29.53/29.94 Inuse: 696
% 29.53/29.94 Deleted: 95
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 120415
% 29.53/29.94 Kept: 24409
% 29.53/29.94 Inuse: 725
% 29.53/29.94 Deleted: 96
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 138668
% 29.53/29.94 Kept: 26420
% 29.53/29.94 Inuse: 764
% 29.53/29.94 Deleted: 98
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 158212
% 29.53/29.94 Kept: 28510
% 29.53/29.94 Inuse: 818
% 29.53/29.94 Deleted: 98
% 29.53/29.94 Deletedinuse: 0
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 194375
% 29.53/29.94 Kept: 30683
% 29.53/29.94 Inuse: 893
% 29.53/29.94 Deleted: 99
% 29.53/29.94 Deletedinuse: 1
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 210773
% 29.53/29.94 Kept: 34285
% 29.53/29.94 Inuse: 900
% 29.53/29.94 Deleted: 99
% 29.53/29.94 Deletedinuse: 1
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 29.53/29.94 Done
% 29.53/29.94
% 29.53/29.94
% 29.53/29.94 Intermediate Status:
% 29.53/29.94 Generated: 225960
% 29.53/29.94 Kept: 36400
% 29.53/29.94 Inuse: 908
% 29.53/29.94 Deleted: 99
% 29.53/29.94 Deletedinuse: 1
% 29.53/29.94
% 29.53/29.94 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 238517
% 141.71/142.40 Kept: 38429
% 141.71/142.40 Inuse: 947
% 141.71/142.40 Deleted: 99
% 141.71/142.40 Deletedinuse: 1
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying clauses:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 256201
% 141.71/142.40 Kept: 40530
% 141.71/142.40 Inuse: 1028
% 141.71/142.40 Deleted: 275
% 141.71/142.40 Deletedinuse: 1
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 268883
% 141.71/142.40 Kept: 42783
% 141.71/142.40 Inuse: 1053
% 141.71/142.40 Deleted: 276
% 141.71/142.40 Deletedinuse: 2
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 284754
% 141.71/142.40 Kept: 45224
% 141.71/142.40 Inuse: 1103
% 141.71/142.40 Deleted: 276
% 141.71/142.40 Deletedinuse: 2
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 302516
% 141.71/142.40 Kept: 47817
% 141.71/142.40 Inuse: 1143
% 141.71/142.40 Deleted: 276
% 141.71/142.40 Deletedinuse: 2
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 314501
% 141.71/142.40 Kept: 49920
% 141.71/142.40 Inuse: 1188
% 141.71/142.40 Deleted: 278
% 141.71/142.40 Deletedinuse: 4
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 340754
% 141.71/142.40 Kept: 52510
% 141.71/142.40 Inuse: 1208
% 141.71/142.40 Deleted: 278
% 141.71/142.40 Deletedinuse: 4
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 362413
% 141.71/142.40 Kept: 57909
% 141.71/142.40 Inuse: 1278
% 141.71/142.40 Deleted: 280
% 141.71/142.40 Deletedinuse: 6
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 368960
% 141.71/142.40 Kept: 60283
% 141.71/142.40 Inuse: 1283
% 141.71/142.40 Deleted: 280
% 141.71/142.40 Deletedinuse: 6
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying clauses:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 376598
% 141.71/142.40 Kept: 62961
% 141.71/142.40 Inuse: 1293
% 141.71/142.40 Deleted: 563
% 141.71/142.40 Deletedinuse: 6
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 410677
% 141.71/142.40 Kept: 66362
% 141.71/142.40 Inuse: 1303
% 141.71/142.40 Deleted: 563
% 141.71/142.40 Deletedinuse: 6
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 426646
% 141.71/142.40 Kept: 69758
% 141.71/142.40 Inuse: 1328
% 141.71/142.40 Deleted: 564
% 141.71/142.40 Deletedinuse: 7
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 445185
% 141.71/142.40 Kept: 72687
% 141.71/142.40 Inuse: 1358
% 141.71/142.40 Deleted: 564
% 141.71/142.40 Deletedinuse: 7
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 461374
% 141.71/142.40 Kept: 75179
% 141.71/142.40 Inuse: 1393
% 141.71/142.40 Deleted: 564
% 141.71/142.40 Deletedinuse: 7
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 473063
% 141.71/142.40 Kept: 77204
% 141.71/142.40 Inuse: 1428
% 141.71/142.40 Deleted: 564
% 141.71/142.40 Deletedinuse: 7
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 485839
% 141.71/142.40 Kept: 79895
% 141.71/142.40 Inuse: 1443
% 141.71/142.40 Deleted: 564
% 141.71/142.40 Deletedinuse: 7
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying clauses:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 501858
% 141.71/142.40 Kept: 82144
% 141.71/142.40 Inuse: 1488
% 141.71/142.40 Deleted: 721
% 141.71/142.40 Deletedinuse: 7
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 515825
% 141.71/142.40 Kept: 84513
% 141.71/142.40 Inuse: 1513
% 141.71/142.40 Deleted: 722
% 141.71/142.40 Deletedinuse: 8
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 563334
% 141.71/142.40 Kept: 88740
% 141.71/142.40 Inuse: 1523
% 141.71/142.40 Deleted: 722
% 141.71/142.40 Deletedinuse: 8
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 598206
% 141.71/142.40 Kept: 92550
% 141.71/142.40 Inuse: 1533
% 141.71/142.40 Deleted: 722
% 141.71/142.40 Deletedinuse: 8
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 607321
% 141.71/142.40 Kept: 94551
% 141.71/142.40 Inuse: 1549
% 141.71/142.40 Deleted: 722
% 141.71/142.40 Deletedinuse: 8
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 624050
% 141.71/142.40 Kept: 97390
% 141.71/142.40 Inuse: 1568
% 141.71/142.40 Deleted: 722
% 141.71/142.40 Deletedinuse: 8
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 651426
% 141.71/142.40 Kept: 101687
% 141.71/142.40 Inuse: 1603
% 141.71/142.40 Deleted: 723
% 141.71/142.40 Deletedinuse: 9
% 141.71/142.40
% 141.71/142.40 Resimplifying inuse:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40 Resimplifying clauses:
% 141.71/142.40 Done
% 141.71/142.40
% 141.71/142.40
% 141.71/142.40 Intermediate Status:
% 141.71/142.40 Generated: 665739
% 141.71/142.40 Kept: 107107
% 141.71/142.40 Inuse: 1608
% 141.71/142.40 Deleted: 1285
% 141.71/142.40 Deletedinuse: 11
% 141.71/142.40
% 141.71/142.40 ResimplifyingCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------