TSTP Solution File: SWV599-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV599-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 : Wed Jul 20 16:27:01 EDT 2022
% Result : Timeout 300.04s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV599-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15 % Command : bliksem %s
% 0.14/0.37 % Computer : n017.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % DateTime : Thu Jun 16 05:48:40 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.90/1.29 *** allocated 10000 integers for termspace/termends
% 0.90/1.29 *** allocated 10000 integers for clauses
% 0.90/1.29 *** allocated 10000 integers for justifications
% 0.90/1.29 Bliksem 1.12
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 Automatic Strategy Selection
% 0.90/1.29
% 0.90/1.29 Clauses:
% 0.90/1.29 [
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.29 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.29 , X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.29 , X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.90/1.29 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.90/1.29 X ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.90/1.29 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.90/1.29 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.90/1.29 , X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.90/1.29 , X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.90/1.29 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.90/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.90/1.29 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.29 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.90/1.29 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.90/1.29 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.29 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.29 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.29 T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Y, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.29 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.29 X ) ) ), =( Z, T ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.29 X ) ) ), =( Z, T ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.90/1.29 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.90/1.29 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.90/1.29 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.90/1.29 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Y, X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , Z, X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , Z, X ), X ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.29 ), X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.90/1.29 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ) ) ), =( Z, T ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.29 , T, X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.29 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.29 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.29 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.90/1.29 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.90/1.29 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.90/1.29 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.29 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, T, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.90/1.29 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.90/1.29 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.29 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.29 X ) ) ), =( Y, T ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.29 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.29 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.29 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.29 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.29 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.29 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.29 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.90/1.29 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.90/1.29 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.90/1.29 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.29 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.29 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.29 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.29 , X ), W, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.90/1.29 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.90/1.29 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.90/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.90/1.29 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.90/1.29 , T, X ), X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.90/1.29 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.90/1.29 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.90/1.29 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.90/1.29 Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.29 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.29 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.29 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.90/1.29 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.90/1.29 X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.29 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.29 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.90/1.29 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.90/1.29 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.90/1.29 ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.90/1.29 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.90/1.29 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.90/1.29 X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.29 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.29 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.90/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.90/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.90/1.29 , X ), X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.90/1.30 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.90/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.30 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.90/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.90/1.30 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.30 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.30 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.90/1.30 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.90/1.30 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.90/1.30 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.90/1.30 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ =( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ] .
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 percentage equality = 0.430392, percentage horn = 0.888641
% 0.90/1.30 This is a problem with some equality
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 Options Used:
% 0.90/1.30
% 0.90/1.30 useres = 1
% 0.90/1.30 useparamod = 1
% 0.90/1.30 useeqrefl = 1
% 0.90/1.30 useeqfact = 1
% 0.90/1.30 usefactor = 1
% 0.90/1.30 usesimpsplitting = 0
% 0.90/1.30 usesimpdemod = 5
% 0.90/1.30 usesimpres = 3
% 0.90/1.30
% 0.90/1.30 resimpinuse = 1000
% 0.90/1.30 resimpclauses = 20000
% 0.90/1.30 substype = eqrewr
% 0.90/1.30 backwardsubs = 1
% 0.90/1.30 selectoldest = 5
% 0.90/1.30
% 0.90/1.30 litorderings [0] = split
% 0.90/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.30
% 0.90/1.30 termordering = kbo
% 0.90/1.30
% 0.90/1.30 litapriori = 0
% 0.90/1.30 termapriori = 1
% 0.90/1.30 litaposteriori = 0
% 0.90/1.30 termaposteriori = 0
% 0.90/1.30 demodaposteriori = 0
% 0.90/1.30 ordereqreflfact = 0
% 0.90/1.30
% 0.90/1.30 litselect = negord
% 0.90/1.30
% 0.90/1.30 maxweight = 15
% 0.90/1.30 maxdepth = 30000
% 0.90/1.30 maxlength = 115
% 0.90/1.30 maxnrvars = 195
% 0.90/1.30 excuselevel = 1
% 0.90/1.30 increasemaxweight = 1
% 0.90/1.30
% 0.90/1.30 maxselected = 10000000
% 0.90/1.30 maxnrclauses = 10000000
% 0.90/1.30
% 0.90/1.30 showgenerated = 0
% 0.90/1.30 showkept = 0
% 0.90/1.30 showselected = 0
% 0.90/1.30 showdeleted = 0
% 0.90/1.30 showresimp = 1
% 0.90/1.30 showstatus = 2000
% 0.90/1.30
% 0.90/1.30 prologoutput = 1
% 0.90/1.30 nrgoals = 5000000
% 0.90/1.30 totalproof = 1
% 0.90/1.30
% 0.90/1.30 Symbols occurring in the translation:
% 0.90/1.30
% 0.90/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.30 . [1, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.90/1.30 ! [4, 1] (w:0, o:44, a:1, s:1, b:0),
% 0.90/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Ofield' [40, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:54, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide' [44, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oordered__idom' [48, 1] (w:1, o:56, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs' [51, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oidom' [52, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero' [53, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.90/1.30 'c_Ring__and__Field_Odvd__class_Odvd' [54, 3] (w:1, o:139, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_Ring__and__Field_Ocomm__semiring__1' [55, 1] (w:1, o:52, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 'class_RealVector_Oreal__vector' [57, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 'c_HOL_Ominus__class_Ominus' [58, 3] (w:1, o:140, a:1, s:1, b:0),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR' [59, 3] (w:1, o:141, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_RealVector_Oreal__normed__vector' [60, 1] (w:1, o:60, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'c_Power_Opower__class_Opower' [63, 3] (w:1, o:142, a:1, s:1, b:0),
% 0.90/1.30 'class_Lattices_Oboolean__algebra' [64, 1] (w:1, o:61, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus' [65, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.90/1.30 'class_OrderedGroup_Ogroup__add' [66, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 'class_Divides_Osemiring__div' [71, 1] (w:1, o:64, a:1, s:1, b:0),
% 17.74/18.11 'c_Divides_Odiv__class_Odiv' [72, 3] (w:1, o:143, a:1, s:1, b:0),
% 17.74/18.11 'c_HOL_Osgn__class_Osgn' [73, 2] (w:1, o:131, a:1, s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Oring' [74, 1] (w:1, o:65, a:1, s:1, b:0),
% 17.74/18.11 'class_OrderedGroup_Oab__semigroup__idem__mult' [75, 1] (w:1, o:66
% 17.74/18.11 , a:1, s:1, b:0),
% 17.74/18.11 'c_HOL_Oone__class_Oone' [76, 1] (w:1, o:67, a:1, s:1, b:0),
% 17.74/18.11 'c_HOL_Oplus__class_Oplus' [77, 3] (w:1, o:144, a:1, s:1, b:0),
% 17.74/18.11 'c_Divides_Odiv__class_Omod' [78, 3] (w:1, o:145, a:1, s:1, b:0),
% 17.74/18.11 'class_RealVector_Oreal__normed__field' [79, 1] (w:1, o:68, a:1, s:1
% 17.74/18.11 , b:0),
% 17.74/18.11 'c_HOL_Oinverse__class_Oinverse' [80, 2] (w:1, o:132, a:1, s:1, b:0)
% 17.74/18.11 ,
% 17.74/18.11 'class_OrderedGroup_Olordered__ab__group__add' [82, 1] (w:1, o:69, a:
% 17.74/18.11 1, s:1, b:0),
% 17.74/18.11 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [83, 2] (w:1
% 17.74/18.11 , o:133, a:1, s:1, b:0),
% 17.74/18.11 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [84, 2] (w:1
% 17.74/18.11 , o:134, a:1, s:1, b:0),
% 17.74/18.11 'class_Int_Onumber__ring' [85, 1] (w:1, o:70, a:1, s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Oordered__ring__strict' [88, 1] (w:1, o:71
% 17.74/18.11 , a:1, s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Odivision__ring' [89, 1] (w:1, o:72, a:1, s:1
% 17.74/18.11 , b:0),
% 17.74/18.11 'class_OrderedGroup_Ocomm__monoid__mult' [91, 1] (w:1, o:73, a:1, s:1
% 17.74/18.11 , b:0),
% 17.74/18.11 'class_Ring__and__Field_Odvd' [92, 1] (w:1, o:74, a:1, s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Ocomm__ring' [93, 1] (w:1, o:50, a:1, s:1, b:
% 17.74/18.11 0),
% 17.74/18.11 'class_Divides_Oring__div' [97, 1] (w:1, o:63, a:1, s:1, b:0),
% 17.74/18.11 'class_OrderedGroup_Oab__semigroup__mult' [98, 1] (w:1, o:75, a:1, s:
% 17.74/18.11 1, b:0),
% 17.74/18.11 'class_RealVector_Oreal__normed__algebra' [99, 1] (w:1, o:76, a:1, s:
% 17.74/18.11 1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Ocomm__semiring' [103, 1] (w:1, o:53, a:1, s:
% 17.74/18.11 1, b:0),
% 17.74/18.11 'class_OrderedGroup_Opordered__ab__group__add__abs' [104, 1] (w:1, o:
% 17.74/18.11 78, a:1, s:1, b:0),
% 17.74/18.11 'class_OrderedGroup_Oab__group__add' [106, 1] (w:1, o:79, a:1, s:1
% 17.74/18.11 , b:0),
% 17.74/18.11 'class_Ring__and__Field_Ocomm__ring__1' [107, 1] (w:1, o:51, a:1, s:1
% 17.74/18.11 , b:0),
% 17.74/18.11 'class_OrderedGroup_Ocancel__ab__semigroup__add' [108, 1] (w:1, o:80
% 17.74/18.11 , a:1, s:1, b:0),
% 17.74/18.11 'class_OrderedGroup_Ocancel__semigroup__add' [109, 1] (w:1, o:81, a:1
% 17.74/18.11 , s:1, b:0),
% 17.74/18.11 'class_SEQ_Obanach' [111, 1] (w:1, o:95, a:1, s:1, b:0),
% 17.74/18.11 'c_Transcendental_Oexp' [112, 2] (w:1, o:135, a:1, s:1, b:0),
% 17.74/18.11 'class_OrderedGroup_Omonoid__mult' [113, 1] (w:1, o:97, a:1, s:1, b:0
% 17.74/18.11 ),
% 17.74/18.11 'class_OrderedGroup_Olordered__ab__group__add__abs' [114, 1] (w:1, o:
% 17.74/18.11 96, a:1, s:1, b:0),
% 17.74/18.11 'class_OrderedGroup_Ocomm__monoid__add' [115, 1] (w:1, o:98, a:1, s:1
% 17.74/18.11 , b:0),
% 17.74/18.11 'class_OrderedGroup_Oab__semigroup__add' [116, 1] (w:1, o:99, a:1, s:
% 17.74/18.11 1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Osemiring' [119, 1] (w:1, o:85, a:1, s:1, b:0
% 17.74/18.11 ),
% 17.74/18.11 'class_RealVector_Oreal__normed__algebra__1' [120, 1] (w:1, o:86, a:1
% 17.74/18.11 , s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Oordered__field' [121, 1] (w:1, o:87, a:1, s:
% 17.74/18.11 1, b:0),
% 17.74/18.11 'class_RealVector_Oreal__algebra' [122, 1] (w:1, o:88, a:1, s:1, b:0)
% 17.74/18.11 ,
% 17.74/18.11 'class_RealVector_Oreal__field' [124, 1] (w:1, o:89, a:1, s:1, b:0),
% 17.74/18.11
% 17.74/18.11 'c_Complex_Ocnj' [125, 1] (w:1, o:100, a:1, s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Oring__1' [127, 1] (w:1, o:82, a:1, s:1, b:0)
% 17.74/18.11 ,
% 17.74/18.11 'class_Ring__and__Field_Osemiring__1' [128, 1] (w:1, o:90, a:1, s:1
% 17.74/18.11 , b:0),
% 17.74/18.11 'c_Int_Oiszero' [129, 2] (w:1, o:136, a:1, s:1, b:0),
% 17.74/18.11 'class_RealVector_Oreal__normed__div__algebra' [130, 1] (w:1, o:91
% 17.74/18.11 , a:1, s:1, b:0),
% 17.74/18.11 'c_Complex_Oii' [132, 0] (w:1, o:40, a:1, s:1, b:0),
% 17.74/18.11 'tc_Complex_Ocomplex' [133, 0] (w:1, o:41, a:1, s:1, b:0),
% 17.74/18.11 'class_OrderedGroup_Oordered__ab__group__add' [134, 1] (w:1, o:77, a:
% 17.74/18.11 1, s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Osgn__if' [135, 1] (w:1, o:92, a:1, s:1, b:0)
% 17.74/18.11 ,
% 17.74/18.11 'class_Ring__and__Field_Oring__no__zero__divisors' [136, 1] (w:1, o:
% 17.74/18.11 83, a:1, s:1, b:0),
% 17.74/18.11 'class_Ring__and__Field_Omult__zero' [137, 1] (w:1, o:93, a:1, s:1
% 17.74/18.11 , b:0),
% 94.30/94.67 'class_Ring__and__Field_Ozero__neq__one' [138, 1] (w:1, o:94, a:1, s:
% 94.30/94.67 1, b:0),
% 94.30/94.67 'class_Ring__and__Field_Oring__1__no__zero__divisors' [139, 1] (w:1
% 94.30/94.67 , o:84, a:1, s:1, b:0),
% 94.30/94.67 'class_Ring__and__Field_Ono__zero__divisors' [140, 1] (w:1, o:55, a:1
% 94.30/94.67 , s:1, b:0),
% 94.30/94.67 'class_Power_Opower' [141, 1] (w:1, o:102, a:1, s:1, b:0),
% 94.30/94.67 'class_OrderedGroup_Omonoid__add' [142, 1] (w:1, o:101, a:1, s:1, b:0
% 94.30/94.67 ),
% 94.30/94.67 'v_n' [143, 0] (w:1, o:42, a:1, s:1, b:0),
% 94.30/94.67 'c_FFT__Mirabelle_Oroot' [144, 1] (w:1, o:103, a:1, s:1, b:0),
% 94.30/94.67 'tc_RealDef_Oreal' [145, 0] (w:1, o:43, a:1, s:1, b:0).
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Starting Search:
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 9803
% 94.30/94.67 Kept: 2341
% 94.30/94.67 Inuse: 167
% 94.30/94.67 Deleted: 4
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 22621
% 94.30/94.67 Kept: 4679
% 94.30/94.67 Inuse: 247
% 94.30/94.67 Deleted: 4
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 42468
% 94.30/94.67 Kept: 7047
% 94.30/94.67 Inuse: 346
% 94.30/94.67 Deleted: 5
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 56097
% 94.30/94.67 Kept: 9170
% 94.30/94.67 Inuse: 391
% 94.30/94.67 Deleted: 5
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 86247
% 94.30/94.67 Kept: 11725
% 94.30/94.67 Inuse: 449
% 94.30/94.67 Deleted: 7
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 109757
% 94.30/94.67 Kept: 14213
% 94.30/94.67 Inuse: 522
% 94.30/94.67 Deleted: 9
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 131671
% 94.30/94.67 Kept: 16608
% 94.30/94.67 Inuse: 552
% 94.30/94.67 Deleted: 9
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 150453
% 94.30/94.67 Kept: 18645
% 94.30/94.67 Inuse: 635
% 94.30/94.67 Deleted: 10
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying clauses:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 167428
% 94.30/94.67 Kept: 20685
% 94.30/94.67 Inuse: 686
% 94.30/94.67 Deleted: 400
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 185673
% 94.30/94.67 Kept: 22688
% 94.30/94.67 Inuse: 740
% 94.30/94.67 Deleted: 400
% 94.30/94.67 Deletedinuse: 0
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 202418
% 94.30/94.67 Kept: 24696
% 94.30/94.67 Inuse: 793
% 94.30/94.67 Deleted: 401
% 94.30/94.67 Deletedinuse: 1
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 216852
% 94.30/94.67 Kept: 26733
% 94.30/94.67 Inuse: 826
% 94.30/94.67 Deleted: 401
% 94.30/94.67 Deletedinuse: 1
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 234400
% 94.30/94.67 Kept: 28991
% 94.30/94.67 Inuse: 861
% 94.30/94.67 Deleted: 401
% 94.30/94.67 Deletedinuse: 1
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 269703
% 94.30/94.67 Kept: 31821
% 94.30/94.67 Inuse: 906
% 94.30/94.67 Deleted: 403
% 94.30/94.67 Deletedinuse: 3
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 277934
% 94.30/94.67 Kept: 35253
% 94.30/94.67 Inuse: 908
% 94.30/94.67 Deleted: 404
% 94.30/94.67 Deletedinuse: 4
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 299765
% 94.30/94.67 Kept: 37409
% 94.30/94.67 Inuse: 951
% 94.30/94.67 Deleted: 404
% 94.30/94.67 Deletedinuse: 4
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 316070
% 94.30/94.67 Kept: 39412
% 94.30/94.67 Inuse: 986
% 94.30/94.67 Deleted: 404
% 94.30/94.67 Deletedinuse: 4
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying clauses:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 328186
% 94.30/94.67 Kept: 41582
% 94.30/94.67 Inuse: 1006
% 94.30/94.67 Deleted: 2422
% 94.30/94.67 Deletedinuse: 4
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 344913
% 94.30/94.67 Kept: 43590
% 94.30/94.67 Inuse: 1036
% 94.30/94.67 Deleted: 2423
% 94.30/94.67 Deletedinuse: 5
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 369466
% 94.30/94.67 Kept: 46019
% 94.30/94.67 Inuse: 1066
% 94.30/94.67 Deleted: 2423
% 94.30/94.67 Deletedinuse: 5
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67 Resimplifying inuse:
% 94.30/94.67 Done
% 94.30/94.67
% 94.30/94.67
% 94.30/94.67 Intermediate Status:
% 94.30/94.67 Generated: 390384
% 94.30/94.67 KeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------