TSTP Solution File: ALG409-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG409-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:48 EDT 2022
% Result : Timeout 300.05s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG409-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 8 08:38:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.93/1.33 *** allocated 10000 integers for termspace/termends
% 0.93/1.33 *** allocated 10000 integers for clauses
% 0.93/1.33 *** allocated 10000 integers for justifications
% 0.93/1.33 *** allocated 15000 integers for termspace/termends
% 0.93/1.33 *** allocated 22500 integers for termspace/termends
% 0.93/1.33 Bliksem 1.12
% 0.93/1.33
% 0.93/1.33
% 0.93/1.33 Automatic Strategy Selection
% 0.93/1.33
% 0.93/1.33 Clauses:
% 0.93/1.33 [
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.33 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.33 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.33 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.33 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.93/1.33 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.33 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.33 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.33 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.33 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.33 , X ), W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.33 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.93/1.33 , X ), T, X ), W, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.33 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.33 , X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.93/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.93/1.33 , X ), Z, X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.93/1.33 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.33 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.93/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.93/1.33 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.93/1.33 ), X ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.93/1.33 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.33 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.93/1.33 ), Y ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.33 ), X ), Y ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.93/1.33 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.93/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.93/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.93/1.33 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.33 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.93/1.33 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.33 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.33 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.93/1.33 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.33 ), X ) ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.93/1.33 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.93/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.33 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.33 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.33 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.33 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.33 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.33 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.93/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.34 , X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.34 , X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.34 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.93/1.34 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.34 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.34 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.34 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.34 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.34 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.93/1.34 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.93/1.34 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.93/1.34 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.93/1.34 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 0.93/1.34 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.34 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.93/1.34 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.93/1.34 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.93/1.34 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.93/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.34 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.93/1.34 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.93/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.93/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.93/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.34 , U, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.93/1.34 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_Power_Opower__class_Opower'( X, 'c_Suc'( Y ),
% 0.93/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.93/1.34 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.34 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.34 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.34 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'v_m____', 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_Complex_Ocnj'( X ), 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.34 ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.93/1.34 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.34 , X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.34 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.93/1.34 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.34 , X ), W, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.93/1.34 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.93/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.93/1.34 X ) ) ), =( Z, T ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.93/1.34 X ) ) ), =( Z, T ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.93/1.34 X ) ) ), =( Y, T ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.93/1.34 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.93/1.34 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 0.93/1.34 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 0.93/1.34 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.34 , U, X ), X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.93/1.34 'c_Polynomial_Omonom'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.93/1.34 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_nat' ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.34 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.93/1.34 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.34 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.93/1.34 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.93/1.34 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.93/1.34 , X ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.93/1.34 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.93/1.34 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.93/1.34 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.93/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.93/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.34 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.93/1.34 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.93/1.34 , X ), W, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.93/1.34 ), X ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.93/1.34 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.93/1.34 W, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.93/1.34 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.93/1.34 , X ), T, X ), W, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.34 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.93/1.34 W, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.93/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'v_k____', 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.93/1.34 ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'v_m____', 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.93/1.34 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.93/1.34 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.93/1.34 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.93/1.34 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.93/1.34 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.93/1.34 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.93/1.34 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Y, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.93/1.34 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.34 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.93/1.34 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.93/1.34 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.93/1.34 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.93/1.34 X ), Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.93/1.34 X ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 Y, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.93/1.34 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.93/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.93/1.34 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.93/1.34 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.93/1.34 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T, Y
% 0.93/1.34 , X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.93/1.34 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.93/1.34 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.93/1.34 ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.93/1.34 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 Z, Y, X ), X ) ) ],
% 0.93/1.34 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Ocnj'(
% 0.93/1.34 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ =( 'c_Complex_Ocnj'( 'c_RealVector_Oof__real'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ), 'c_RealVector_Oof__real'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.93/1.34 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.34 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.93/1.34 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.93/1.34 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.34 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.34 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.34 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.34 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.34 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.93/1.34 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.93/1.34 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.93/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.93/1.34 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.93/1.34 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.34 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.93/1.34 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.93/1.34 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.93/1.34 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.93/1.34 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.93/1.34 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.93/1.34 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.93/1.34 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.34 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.93/1.34 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.93/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.93/1.34 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.93/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.34 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.93/1.34 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.93/1.34 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( X, 'c_Suc'( Z ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.93/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.93/1.34 Y, X ), X ) ],
% 0.93/1.34 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.93/1.34 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.93/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.34 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ =( 'c_Complex_Ocnj'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.93/1.34 'tc_Complex_Ocomplex' ) ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_Complex_Ocnj'( X ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'v_t____', 'v_k____', 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( 'v_t____', 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'v_w____', 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'( 'v_k____'
% 0.93/1.34 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_RealDef_Oreal' )
% 0.93/1.34 , 'v_m____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'v_t____', 'v_k____', 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.93/1.34 , 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'v_t____', 'c_HOL_Oinverse__class_Oinverse'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'v_k____', 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.93/1.34 ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'v_m____', 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_RealVector_Oof__real'( 'v_t____', 'tc_Complex_Ocomplex' ), 'v_w____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_k____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'v_a____', 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( 'v_t____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_Polynomial_Opoly'( 'v_s____', 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_RealVector_Oof__real'( 'v_t____', 'tc_Complex_Ocomplex' ), 'v_w____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.93/1.34 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.93/1.34 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'v_t____', 'v_k____', 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( 'v_t____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ), 'v_k____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_RealVector_Oof__real'( 'v_t____', 'tc_Complex_Ocomplex' ), 'v_w____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.93/1.34 'v_s____', 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'(
% 0.93/1.34 'v_t____', 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.93/1.34 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'v_w____', 'v_k____', 'tc_Complex_Ocomplex' ), 'v_a____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.34 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.93/1.34 ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.93/1.34 , T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.93/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.93/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.93/1.34 ), Y, X ) ), =( Z, T ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.93/1.34 'tc_nat' ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.93/1.34 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.93/1.34 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.93/1.34 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.93/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.93/1.34 ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Opoly'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_Polynomial_Opoly'( Y, T, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.93/1.34 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'v_t____', 'c_HOL_Oone__class_Oone'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.34 'tc_RealDef_Oreal' ), 'v_t____', 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_Polynomial_Opoly'( 'v_s____', X, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_m____', 'tc_RealDef_Oreal' ), ~(
% 0.93/1.34 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( 'v_w____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.93/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.93/1.34 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.93/1.34 ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.93/1.34 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( 'v_t____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( 'v_w____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.34 [ =( 'c_Power_Opower__class_Opower'( 'c_RealVector_Oof__real'( X,
% 0.93/1.34 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.93/1.34 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.34 , X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.93/1.34 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.93/1.34 Y, Z, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.93/1.34 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.93/1.34 'tc_RealDef_Oreal' ), X ), 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.93/1.34 T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.93/1.34 X ), T, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.34 T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.93/1.34 X ), Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.34 T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.93/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.93/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.93/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.93/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.34 ), =( Z, Y ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.34 ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.93/1.34 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.93/1.34 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.93/1.34 =( Y, Z ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.93/1.34 , Y, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.93/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.34 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_RealVector_Oof__real'( 'v_t____', 'tc_Complex_Ocomplex' ), 'v_w____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_k____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( 'v_t____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_s____',
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( 'v_t____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.93/1.34 , 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 'v_t____'
% 0.93/1.34 , 'v_k____', 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'v_t____', 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.93/1.34 'c_RealVector_Onorm__class_Onorm'( 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Oplus__class_Oplus'( 'v_k____', 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.93/1.34 ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'v_m____', 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'v_t____', 'v_k____', 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_HOL_Otimes__class_Otimes'( 'v_t____', 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'v_w____', 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'( 'v_k____'
% 0.93/1.34 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_RealDef_Oreal' )
% 0.93/1.34 , 'v_m____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.93/1.34 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'v_t____', 'v_k____', 'tc_RealDef_Oreal'
% 0.93/1.34 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.93/1.34 , 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'(
% 0.93/1.34 'c_RealVector_Oof__real'( 'v_t____', 'tc_Complex_Ocomplex' ), 'v_w____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_k____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( 'v_t____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_s____',
% 0.93/1.34 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( 'v_t____',
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.93/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.93/1.34 , 'c_Power_Opower__class_Opower'( 'v_t____', 'v_k____',
% 0.93/1.34 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.93/1.34 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.93/1.34 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.93/1.34 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.93/1.34 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.93/1.34 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.93/1.34 ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.93/1.34 ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_RealVector_Oreal__div__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.93/1.34 X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.93/1.34 ,
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.93/1.34 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.93/1.34 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.93/1.34 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.93/1.34 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.93/1.34 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.93/1.34 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.93/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.93/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.93/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.98/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.98/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.98/1.34 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.98/1.34 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.98/1.34 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.98/1.34 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.98/1.34 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.98/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.98/1.34 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.98/1.34 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.98/1.34 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.98/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.98/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.98/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.98/1.34 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.98/1.34 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.98/1.34 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.98/1.34 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.98/1.34 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.98/1.34 X ) ) ]
% 0.98/1.34 ] .
% 0.98/1.34
% 0.98/1.34
% 0.98/1.34 percentage equality = 0.207696, percentage horn = 0.917576
% 0.98/1.34 This is a problem with some equality
% 0.98/1.34
% 0.98/1.34
% 0.98/1.34
% 0.98/1.34 Options Used:
% 0.98/1.34
% 0.98/1.34 useres = 1
% 0.98/1.34 useparamod = 1
% 0.98/1.34 useeqrefl = 1
% 0.98/1.34 useeqfact = 1
% 0.98/1.34 usefactor = 1
% 0.98/1.34 usesimpsplitting = 0
% 0.98/1.34 usesimpdemod = 5
% 0.98/1.34 usesimpres = 3
% 0.98/1.34
% 0.98/1.34 resimpinuse = 1000
% 0.98/1.34 resimpclauses = 20000
% 0.98/1.34 substype = eqrewr
% 0.98/1.34 backwardsubs = 1
% 0.98/1.34 selectoldest = 5
% 0.98/1.34
% 0.98/1.34 litorderings [0] = split
% 0.98/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.34
% 0.98/1.34 termordering = kbo
% 0.98/1.34
% 0.98/1.34 litapriori = 0
% 0.98/1.34 termapriori = 1
% 0.98/1.34 litaposteriori = 0
% 0.98/1.34 termaposteriori = 0
% 0.98/1.34 demodaposteriori = 0
% 0.98/1.34 ordereqreflfact = 0
% 0.98/1.34
% 0.98/1.34 litselect = negord
% 0.98/1.34
% 0.98/1.34 maxweight = 15
% 0.98/1.34 maxdepth = 30000
% 0.98/1.34 maxlength = 115
% 0.98/1.34 maxnrvars = 195
% 0.98/1.34 excuselevel = 1
% 0.98/1.34 increasemaxweight = 1
% 0.98/1.34
% 0.98/1.34 maxselected = 10000000
% 0.98/1.34 maxnrclauses = 10000000
% 0.98/1.34
% 0.98/1.34 showgenerated = 0
% 0.98/1.34 showkept = 0
% 0.98/1.34 showselected = 0
% 0.98/1.34 showdeleted = 0
% 0.98/1.34 showresimp = 1
% 0.98/1.34 showstatus = 2000
% 0.98/1.34
% 0.98/1.34 prologoutput = 1
% 0.98/1.34 nrgoals = 5000000
% 0.98/1.34 totalproof = 1
% 0.98/1.34
% 0.98/1.34 Symbols occurring in the translation:
% 0.98/1.34
% 0.98/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.34 . [1, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.98/1.34 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 0.98/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.34 'class_Ring__and__Field_Oordered__ring__strict' [40, 1] (w:1, o:63
% 0.98/1.34 , a:1, s:1, b:0),
% 0.98/1.34 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.98/1.34 'c_HOL_Otimes__class_Otimes' [42, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.98/1.34 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.98/1.34 'c_lessequals' [44, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.98/1.34 'class_RealVector_Oreal__algebra__1' [45, 1] (w:1, o:65, a:1, s:1, b:
% 0.98/1.34 0),
% 0.98/1.34 'tc_RealDef_Oreal' [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.98/1.34 'c_RealVector_Oof__real' [47, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.98/1.34 'class_RealVector_Oreal__normed__vector' [48, 1] (w:1, o:66, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'class_OrderedGroup_Opordered__comm__monoid__add' [49, 1] (w:1, o:68
% 0.98/1.34 , a:1, s:1, b:0),
% 0.98/1.34 'c_HOL_Oord__class_Oless' [52, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.98/1.34 'class_RealVector_Oreal__div__algebra' [53, 1] (w:1, o:69, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'c_RealVector_OscaleR__class_OscaleR' [55, 3] (w:1, o:170, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'c_HOL_Oinverse__class_Oinverse' [56, 2] (w:1, o:163, a:1, s:1, b:0)
% 0.98/1.34 ,
% 0.98/1.34 'class_Ring__and__Field_Odivision__by__zero' [57, 1] (w:1, o:75, a:1
% 0.98/1.34 , s:1, b:0),
% 0.98/1.34 'class_Ring__and__Field_Ozero__neq__one' [58, 1] (w:1, o:76, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'c_HOL_Oone__class_Oone' [59, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.98/1.34 'class_Ring__and__Field_Oordered__idom' [60, 1] (w:1, o:78, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'c_HOL_Ouminus__class_Ouminus' [61, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.98/1.34 'c_HOL_Oabs__class_Oabs' [62, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.98/1.34 'class_OrderedGroup_Olordered__ab__group__add' [64, 1] (w:1, o:79, a:
% 0.98/1.34 1, s:1, b:0),
% 0.98/1.34 'class_OrderedGroup_Oab__group__add' [65, 1] (w:1, o:80, a:1, s:1, b:
% 0.98/1.34 0),
% 0.98/1.34 'c_HOL_Ominus__class_Ominus' [66, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.98/1.34 'class_OrderedGroup_Ogroup__add' [67, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.98/1.34
% 0.98/1.34 'class_Ring__and__Field_Oidom' [68, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.98/1.34 'class_Int_Onumber__ring' [69, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.98/1.34 'class_OrderedGroup_Opordered__ab__group__add__abs' [70, 1] (w:1, o:
% 0.98/1.34 85, a:1, s:1, b:0),
% 0.98/1.34 'class_Ring__and__Field_Oabs__if' [71, 1] (w:1, o:86, a:1, s:1, b:0)
% 0.98/1.34 ,
% 0.98/1.34 'class_Orderings_Olinorder' [72, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.98/1.34 'class_OrderedGroup_Olordered__ab__group__add__abs' [73, 1] (w:1, o:
% 0.98/1.34 88, a:1, s:1, b:0),
% 0.98/1.34 'class_Ring__and__Field_Oordered__field' [74, 1] (w:1, o:89, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'class_Ring__and__Field_Opordered__ring' [75, 1] (w:1, o:94, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [79, 1]
% 0.98/1.34 (w:1, o:95, a:1, s:1, b:0),
% 0.98/1.34 'class_OrderedGroup_Ocomm__monoid__add' [80, 1] (w:1, o:96, a:1, s:1
% 0.98/1.34 , b:0),
% 0.98/1.34 'class_RealVector_Oreal__vector' [81, 1] (w:1, o:97, a:1, s:1, b:0),
% 3.18/3.53
% 3.18/3.53 'c_RealVector_Onorm__class_Onorm' [82, 2] (w:1, o:161, a:1, s:1, b:0)
% 3.18/3.53 ,
% 3.18/3.53 'class_Ring__and__Field_Oring' [83, 1] (w:1, o:98, a:1, s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Opordered__ab__group__add' [84, 1] (w:1, o:99, a:
% 3.18/3.53 1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Olordered__ring' [85, 1] (w:1, o:100, a:1, s:
% 3.18/3.53 1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Osemiring__0' [86, 1] (w:1, o:104, a:1, s:1
% 3.18/3.53 , b:0),
% 3.18/3.53 'class_Power_Opower' [87, 1] (w:1, o:118, a:1, s:1, b:0),
% 3.18/3.53 'c_Suc' [89, 1] (w:1, o:119, a:1, s:1, b:0),
% 3.18/3.53 'c_Power_Opower__class_Opower' [90, 3] (w:1, o:172, a:1, s:1, b:0),
% 3.18/3.53 'tc_nat' [93, 0] (w:1, o:33, a:1, s:1, b:0),
% 3.18/3.53 'class_RealVector_Oreal__normed__div__algebra' [94, 1] (w:1, o:120
% 3.18/3.53 , a:1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Odivision__ring' [95, 1] (w:1, o:121, a:1, s:
% 3.18/3.53 1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Ocomm__semiring__1' [97, 1] (w:1, o:73, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Oab__semigroup__add' [100, 1] (w:1, o:105, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Oordered__semidom' [101, 1] (w:1, o:90, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'class_RealVector_Oreal__normed__algebra' [105, 1] (w:1, o:122, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'class_Lattices_Oboolean__algebra' [106, 1] (w:1, o:123, a:1, s:1, b:
% 3.18/3.53 0),
% 3.18/3.53 'class_Orderings_Oorder' [107, 1] (w:1, o:106, a:1, s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Opordered__ab__semigroup__add' [110, 1] (w:1, o:
% 3.18/3.53 107, a:1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Opordered__ring__abs' [111, 1] (w:1, o:124
% 3.18/3.53 , a:1, s:1, b:0),
% 3.18/3.53 'tc_Complex_Ocomplex' [112, 0] (w:1, o:36, a:1, s:1, b:0),
% 3.18/3.53 'c_Complex_Ocnj' [113, 1] (w:1, o:125, a:1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Omult__mono1' [115, 1] (w:1, o:126, a:1, s:1
% 3.18/3.53 , b:0),
% 3.18/3.53 'class_Ring__and__Field_Omult__mono' [116, 1] (w:1, o:127, a:1, s:1
% 3.18/3.53 , b:0),
% 3.18/3.53 'class_Ring__and__Field_Opordered__cancel__semiring' [117, 1] (w:1
% 3.18/3.53 , o:128, a:1, s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Oordered__ab__group__add' [121, 1] (w:1, o:67, a:
% 3.18/3.53 1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Ofield' [122, 1] (w:1, o:129, a:1, s:1, b:0)
% 3.18/3.53 ,
% 3.18/3.53 'class_Ring__and__Field_Opordered__semiring' [123, 1] (w:1, o:130, a:
% 3.18/3.53 1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Ocomm__semiring__0' [124, 1] (w:1, o:72, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'c_Polynomial_Osmult' [127, 3] (w:1, o:173, a:1, s:1, b:0),
% 3.18/3.53 'tc_Polynomial_Opoly' [128, 1] (w:1, o:131, a:1, s:1, b:0),
% 3.18/3.53 'v_m____' [129, 0] (w:1, o:45, a:1, s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Omonoid__add' [130, 1] (w:1, o:108, a:1, s:1, b:0
% 3.18/3.53 ),
% 3.18/3.53 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [131, 1]
% 3.18/3.53 (w:1, o:109, a:1, s:1, b:0),
% 3.18/3.53 'class_Orderings_Opreorder' [132, 1] (w:1, o:110, a:1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Oordered__semiring__strict' [133, 1] (w:1, o:
% 3.18/3.53 91, a:1, s:1, b:0),
% 3.18/3.53 'c_Polynomial_Omonom' [134, 3] (w:1, o:174, a:1, s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Ocancel__ab__semigroup__add' [135, 1] (w:1, o:111
% 3.18/3.53 , a:1, s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Ocancel__semigroup__add' [136, 1] (w:1, o:112, a:
% 3.18/3.53 1, s:1, b:0),
% 3.18/3.53 'class_RealVector_Oreal__normed__algebra__1' [137, 1] (w:1, o:132, a:
% 3.18/3.53 1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Oordered__semiring' [140, 1] (w:1, o:92, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'v_w____' [141, 0] (w:1, o:48, a:1, s:1, b:0),
% 3.18/3.53 'v_k____' [142, 0] (w:1, o:49, a:1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Oring__no__zero__divisors' [143, 1] (w:1, o:
% 3.18/3.53 101, a:1, s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Omult__zero' [144, 1] (w:1, o:133, a:1, s:1
% 3.18/3.53 , b:0),
% 3.18/3.53 'class_RealVector_Oreal__algebra' [145, 1] (w:1, o:134, a:1, s:1, b:0
% 3.18/3.53 ),
% 3.18/3.53 'class_Ring__and__Field_Ocomm__semiring' [146, 1] (w:1, o:74, a:1, s:
% 3.18/3.53 1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Ono__zero__divisors' [148, 1] (w:1, o:62, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'class_OrderedGroup_Omonoid__mult' [149, 1] (w:1, o:113, a:1, s:1, b:
% 3.18/3.53 0),
% 3.18/3.53 'class_OrderedGroup_Ocomm__monoid__mult' [150, 1] (w:1, o:114, a:1
% 3.18/3.53 , s:1, b:0),
% 3.18/3.53 'class_Ring__and__Field_Osemiring' [151, 1] (w:1, o:135, a:1, s:1, b:
% 22.16/22.55 0),
% 22.16/22.55 'class_Ring__and__Field_Oring__1' [152, 1] (w:1, o:102, a:1, s:1, b:0
% 22.16/22.55 ),
% 22.16/22.55 'class_Ring__and__Field_Oring__1__no__zero__divisors' [153, 1] (w:1
% 22.16/22.55 , o:103, a:1, s:1, b:0),
% 22.16/22.55 'class_Ring__and__Field_Ocomm__ring__1' [154, 1] (w:1, o:70, a:1, s:1
% 22.16/22.55 , b:0),
% 22.16/22.55 'c_Polynomial_Opoly' [155, 3] (w:1, o:175, a:1, s:1, b:0),
% 22.16/22.55 'class_HOL_Ozero' [162, 1] (w:1, o:83, a:1, s:1, b:0),
% 22.16/22.55 'v_t____' [163, 0] (w:1, o:54, a:1, s:1, b:0),
% 22.16/22.55 'v_a____' [164, 0] (w:1, o:55, a:1, s:1, b:0),
% 22.16/22.55 'v_s____' [165, 0] (w:1, o:53, a:1, s:1, b:0),
% 22.16/22.55 'class_Ring__and__Field_Oordered__comm__semiring__strict' [166, 1]
% 22.16/22.55 (w:1, o:93, a:1, s:1, b:0),
% 22.16/22.55 'class_OrderedGroup_Oab__semigroup__mult' [171, 1] (w:1, o:115, a:1
% 22.16/22.55 , s:1, b:0),
% 22.16/22.55 'class_OrderedGroup_Oab__semigroup__idem__mult' [172, 1] (w:1, o:116
% 22.16/22.55 , a:1, s:1, b:0),
% 22.16/22.55 'class_OrderedGroup_Ocancel__comm__monoid__add' [174, 1] (w:1, o:117
% 22.16/22.55 , a:1, s:1, b:0),
% 22.16/22.55 'class_Ring__and__Field_Ocomm__ring' [175, 1] (w:1, o:71, a:1, s:1
% 22.16/22.55 , b:0).
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Starting Search:
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 4410
% 22.16/22.55 Kept: 2020
% 22.16/22.55 Inuse: 125
% 22.16/22.55 Deleted: 1
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 7873
% 22.16/22.55 Kept: 4027
% 22.16/22.55 Inuse: 230
% 22.16/22.55 Deleted: 2
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 12609
% 22.16/22.55 Kept: 6295
% 22.16/22.55 Inuse: 343
% 22.16/22.55 Deleted: 3
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 16711
% 22.16/22.55 Kept: 8507
% 22.16/22.55 Inuse: 378
% 22.16/22.55 Deleted: 3
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 21730
% 22.16/22.55 Kept: 11377
% 22.16/22.55 Inuse: 461
% 22.16/22.55 Deleted: 5
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 28360
% 22.16/22.55 Kept: 13525
% 22.16/22.55 Inuse: 476
% 22.16/22.55 Deleted: 5
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 35158
% 22.16/22.55 Kept: 15526
% 22.16/22.55 Inuse: 486
% 22.16/22.55 Deleted: 5
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 40202
% 22.16/22.55 Kept: 17534
% 22.16/22.55 Inuse: 533
% 22.16/22.55 Deleted: 5
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 45624
% 22.16/22.55 Kept: 19542
% 22.16/22.55 Inuse: 574
% 22.16/22.55 Deleted: 5
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying clauses:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 50623
% 22.16/22.55 Kept: 21583
% 22.16/22.55 Inuse: 616
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 57299
% 22.16/22.55 Kept: 23786
% 22.16/22.55 Inuse: 661
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 71945
% 22.16/22.55 Kept: 26444
% 22.16/22.55 Inuse: 696
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 80700
% 22.16/22.55 Kept: 28812
% 22.16/22.55 Inuse: 711
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 87517
% 22.16/22.55 Kept: 31111
% 22.16/22.55 Inuse: 726
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 90972
% 22.16/22.55 Kept: 33121
% 22.16/22.55 Inuse: 733
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 120970
% 22.16/22.55 Kept: 35724
% 22.16/22.55 Inuse: 741
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 129835
% 22.16/22.55 Kept: 37749
% 22.16/22.55 Inuse: 779
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55
% 22.16/22.55 Intermediate Status:
% 22.16/22.55 Generated: 139050
% 22.16/22.55 Kept: 39802
% 22.16/22.55 Inuse: 816
% 22.16/22.55 Deleted: 283
% 22.16/22.55 Deletedinuse: 0
% 22.16/22.55
% 22.16/22.55 Resimplifying inuse:
% 22.16/22.55 Done
% 22.16/22.55
% 22.16/22.55 Resimplifying clauses:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 151840
% 74.52/74.91 Kept: 43296
% 74.52/74.91 Inuse: 860
% 74.52/74.91 Deleted: 521
% 74.52/74.91 Deletedinuse: 0
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 162250
% 74.52/74.91 Kept: 45771
% 74.52/74.91 Inuse: 880
% 74.52/74.91 Deleted: 524
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 173989
% 74.52/74.91 Kept: 48014
% 74.52/74.91 Inuse: 895
% 74.52/74.91 Deleted: 524
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 192808
% 74.52/74.91 Kept: 53591
% 74.52/74.91 Inuse: 910
% 74.52/74.91 Deleted: 524
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 199521
% 74.52/74.91 Kept: 55924
% 74.52/74.91 Inuse: 915
% 74.52/74.91 Deleted: 524
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 210075
% 74.52/74.91 Kept: 57961
% 74.52/74.91 Inuse: 930
% 74.52/74.91 Deleted: 524
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 220408
% 74.52/74.91 Kept: 60062
% 74.52/74.91 Inuse: 955
% 74.52/74.91 Deleted: 524
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying clauses:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 234949
% 74.52/74.91 Kept: 62178
% 74.52/74.91 Inuse: 985
% 74.52/74.91 Deleted: 817
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 255014
% 74.52/74.91 Kept: 64980
% 74.52/74.91 Inuse: 1020
% 74.52/74.91 Deleted: 817
% 74.52/74.91 Deletedinuse: 3
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 278786
% 74.52/74.91 Kept: 67026
% 74.52/74.91 Inuse: 1088
% 74.52/74.91 Deleted: 819
% 74.52/74.91 Deletedinuse: 5
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 298954
% 74.52/74.91 Kept: 71828
% 74.52/74.91 Inuse: 1118
% 74.52/74.91 Deleted: 823
% 74.52/74.91 Deletedinuse: 5
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 307315
% 74.52/74.91 Kept: 73960
% 74.52/74.91 Inuse: 1156
% 74.52/74.91 Deleted: 825
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 317616
% 74.52/74.91 Kept: 76008
% 74.52/74.91 Inuse: 1196
% 74.52/74.91 Deleted: 825
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 329560
% 74.52/74.91 Kept: 79285
% 74.52/74.91 Inuse: 1211
% 74.52/74.91 Deleted: 825
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 339259
% 74.52/74.91 Kept: 82049
% 74.52/74.91 Inuse: 1216
% 74.52/74.91 Deleted: 825
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying clauses:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 348202
% 74.52/74.91 Kept: 84067
% 74.52/74.91 Inuse: 1247
% 74.52/74.91 Deleted: 1686
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 359323
% 74.52/74.91 Kept: 86075
% 74.52/74.91 Inuse: 1271
% 74.52/74.91 Deleted: 1686
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 386516
% 74.52/74.91 Kept: 89487
% 74.52/74.91 Inuse: 1301
% 74.52/74.91 Deleted: 1686
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.91
% 74.52/74.91 Resimplifying inuse:
% 74.52/74.91 Done
% 74.52/74.91
% 74.52/74.91
% 74.52/74.91 Intermediate Status:
% 74.52/74.91 Generated: 407574
% 74.52/74.91 Kept: 91800
% 74.52/74.91 Inuse: 1306
% 74.52/74.91 Deleted: 1686
% 74.52/74.91 Deletedinuse: 7
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92
% 74.52/74.92 Intermediate Status:
% 74.52/74.92 Generated: 433066
% 74.52/74.92 Kept: 94412
% 74.52/74.92 Inuse: 1321
% 74.52/74.92 Deleted: 1686
% 74.52/74.92 Deletedinuse: 7
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92
% 74.52/74.92 Intermediate Status:
% 74.52/74.92 Generated: 444592
% 74.52/74.92 Kept: 96415
% 74.52/74.92 Inuse: 1356
% 74.52/74.92 Deleted: 1686
% 74.52/74.92 Deletedinuse: 7
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92
% 74.52/74.92 Intermediate Status:
% 74.52/74.92 Generated: 458281
% 74.52/74.92 Kept: 99249
% 74.52/74.92 Inuse: 1361
% 74.52/74.92 Deleted: 1686
% 74.52/74.92 Deletedinuse: 7
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92
% 74.52/74.92 Intermediate Status:
% 74.52/74.92 Generated: 472093
% 74.52/74.92 Kept: 102098
% 74.52/74.92 Inuse: 1366
% 74.52/74.92 Deleted: 1686
% 74.52/74.92 Deletedinuse: 7
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92 Resimplifying clauses:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92
% 74.52/74.92 Intermediate Status:
% 74.52/74.92 Generated: 496611
% 74.52/74.92 Kept: 104759
% 74.52/74.92 Inuse: 1376
% 74.52/74.92 Deleted: 1977
% 74.52/74.92 Deletedinuse: 7
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92
% 74.52/74.92 Intermediate Status:
% 74.52/74.92 Generated: 521253
% 74.52/74.92 Kept: 107987
% 74.52/74.92 Inuse: 1386
% 74.52/74.92 Deleted: 1977
% 74.52/74.92 Deletedinuse: 7
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 74.52/74.92 Done
% 74.52/74.92
% 74.52/74.92 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 552516
% 198.62/199.05 Kept: 111837
% 198.62/199.05 Inuse: 1411
% 198.62/199.05 Deleted: 1977
% 198.62/199.05 Deletedinuse: 7
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 571517
% 198.62/199.05 Kept: 114410
% 198.62/199.05 Inuse: 1441
% 198.62/199.05 Deleted: 1977
% 198.62/199.05 Deletedinuse: 7
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 581514
% 198.62/199.05 Kept: 116435
% 198.62/199.05 Inuse: 1451
% 198.62/199.05 Deleted: 1977
% 198.62/199.05 Deletedinuse: 7
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 607736
% 198.62/199.05 Kept: 119535
% 198.62/199.05 Inuse: 1466
% 198.62/199.05 Deleted: 1979
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 627094
% 198.62/199.05 Kept: 122723
% 198.62/199.05 Inuse: 1481
% 198.62/199.05 Deleted: 1979
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying clauses:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 637767
% 198.62/199.05 Kept: 124757
% 198.62/199.05 Inuse: 1491
% 198.62/199.05 Deleted: 2132
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 646223
% 198.62/199.05 Kept: 126759
% 198.62/199.05 Inuse: 1512
% 198.62/199.05 Deleted: 2132
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 663116
% 198.62/199.05 Kept: 129668
% 198.62/199.05 Inuse: 1531
% 198.62/199.05 Deleted: 2132
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 673236
% 198.62/199.05 Kept: 131890
% 198.62/199.05 Inuse: 1556
% 198.62/199.05 Deleted: 2132
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 681096
% 198.62/199.05 Kept: 133911
% 198.62/199.05 Inuse: 1575
% 198.62/199.05 Deleted: 2132
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 688883
% 198.62/199.05 Kept: 135911
% 198.62/199.05 Inuse: 1596
% 198.62/199.05 Deleted: 2132
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05 Resimplifying inuse:
% 198.62/199.05 Done
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 698853
% 198.62/199.05 Kept: 137920
% 198.62/199.05 Inuse: 1626
% 198.62/199.05 Deleted: 2132
% 198.62/199.05 Deletedinuse: 9
% 198.62/199.05
% 198.62/199.05
% 198.62/199.05 Intermediate Status:
% 198.62/199.05 Generated: 711454
% 198.62/199.06 Kept: 140020
% 198.62/199.06 Inuse: 1636
% 198.62/199.06 Deleted: 2132
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 720107
% 198.62/199.06 Kept: 142659
% 198.62/199.06 Inuse: 1641
% 198.62/199.06 Deleted: 2132
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying clauses:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 733426
% 198.62/199.06 Kept: 144676
% 198.62/199.06 Inuse: 1673
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 740763
% 198.62/199.06 Kept: 146760
% 198.62/199.06 Inuse: 1691
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 749163
% 198.62/199.06 Kept: 148998
% 198.62/199.06 Inuse: 1706
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 757525
% 198.62/199.06 Kept: 151181
% 198.62/199.06 Inuse: 1726
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 767982
% 198.62/199.06 Kept: 153619
% 198.62/199.06 Inuse: 1746
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 776660
% 198.62/199.06 Kept: 155971
% 198.62/199.06 Inuse: 1766
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 796304
% 198.62/199.06 Kept: 159348
% 198.62/199.06 Inuse: 1776
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 811502
% 198.62/199.06 Kept: 161436
% 198.62/199.06 Inuse: 1816
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 858463
% 198.62/199.06 Kept: 165308
% 198.62/199.06 Inuse: 1826
% 198.62/199.06 Deleted: 2410
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying clauses:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 Generated: 874844
% 198.62/199.06 Kept: 167497
% 198.62/199.06 Inuse: 1866
% 198.62/199.06 Deleted: 3035
% 198.62/199.06 Deletedinuse: 9
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06 Resimplifying inuse:
% 198.62/199.06 Done
% 198.62/199.06
% 198.62/199.06
% 198.62/199.06 Intermediate Status:
% 198.62/199.06 GeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------