TSTP Solution File: ALG378-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG378-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:36 EDT 2022
% Result : Timeout 300.07s 300.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG378-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 10:26:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.80/1.20 *** allocated 10000 integers for termspace/termends
% 0.80/1.20 *** allocated 10000 integers for clauses
% 0.80/1.20 *** allocated 10000 integers for justifications
% 0.80/1.20 *** allocated 15000 integers for termspace/termends
% 0.80/1.20 Bliksem 1.12
% 0.80/1.20
% 0.80/1.20
% 0.80/1.20 Automatic Strategy Selection
% 0.80/1.20
% 0.80/1.20 Clauses:
% 0.80/1.20 [
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.80/1.20 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.80/1.20 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.80/1.20 =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.20 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.20 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.80/1.20 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.80/1.20 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 X ), T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.20 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.20 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 0.80/1.20 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.80/1.20 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 X ), T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.20 ), Y ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.20 ), Y ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.20 ), Y ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.80/1.20 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.20 , X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.20 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.20 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.20 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.20 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.20 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.20 ), X ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.20 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.20 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.20 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.20 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.80/1.20 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.20 , X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Z, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.20 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.20 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.20 ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.20 , X ) ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.20 , X ) ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.20 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.20 ), =( Z, Y ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 , Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.80/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.80/1.20 , Z ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.20 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.20 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.20 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.20 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.20 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.20 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.20 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.20 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.20 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.20 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.20 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.80/1.20 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.20 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.20 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.20 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.20 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.80/1.20 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.20 T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.20 X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.20 T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.20 T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.20 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.20 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.20 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.20 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.20 ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.20 ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.20 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.20 , X ), W, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.80/1.20 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.80/1.20 W, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.20 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.20 , X ), T, X ), W, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.20 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.80/1.20 W, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.80/1.20 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.20 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.20 X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.20 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.20 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.20 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.20 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.20 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.80/1.20 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.20 Z, Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.20 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.80/1.20 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.80/1.20 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.80/1.20 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.80/1.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.80/1.20 ],
% 0.80/1.20 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.80/1.20 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.80/1.20 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.80/1.20 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.20 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.20 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.80/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.20 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.20 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.20 , X ), W, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.20 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.20 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.20 ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.20 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.20 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.20 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.20 Y, X ), X ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.20 X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 Y, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.20 Y, Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.20 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.20 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.20 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.20 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.20 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.20 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.20 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.20 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.80/1.20 ,
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.80/1.20 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.20 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.80/1.20 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.80/1.20 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.80/1.20 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.80/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.80/1.20 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.80/1.20 ],
% 0.80/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.80/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.80/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.20 X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.20 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.80/1.20 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.20 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.80/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.20 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.21 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.21 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.21 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.21 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.21 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.21 , T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.21 , Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.80/1.21 ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.21 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.80/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.80/1.21 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.21 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( T, Y, X ),
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( Z, T, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 0.80/1.21 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.21 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.80/1.21 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.80/1.21 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.80/1.21 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.80/1.21 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.80/1.21 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.80/1.21 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.80/1.21 ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.80/1.21 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.80/1.21 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ =( 'c_RealVector_Odist__class_Odist'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.21 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.21 , X ), W, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.21 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.21 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.21 , X ), T, X ), W, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.21 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.21 , Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.80/1.21 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.80/1.21 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.80/1.21 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.80/1.21 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.80/1.21 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 0.80/1.21 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 0.80/1.21 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 0.80/1.21 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , U, X ), X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.80/1.21 , X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.80/1.21 ), X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.80/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.80/1.21 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.80/1.21 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.80/1.21 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.21 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X,
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.21 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.21 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.80/1.21 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.80/1.21 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.21 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.80/1.21 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.80/1.21 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.21 X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.80/1.21 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.21 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.21 X ) ) ), =( Y, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.21 X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.21 X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.21 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.80/1.21 ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.80/1.21 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.21 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.21 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.21 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.21 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.21 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.21 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.21 X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.21 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.21 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.80/1.21 , X ), Z, X ) ) ],
% 0.80/1.21 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.80/1.21 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.80/1.21 ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.21 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.21 ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.80/1.21 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.21 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.80/1.21 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , T, X ) ) ), =( Z, T ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.21 , T, X ) ) ), =( Y, Z ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.21 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.21 , U, X ), X ) ) ],
% 0.80/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.21 ), Y ) ],
% 0.80/1.21 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.21 'v_a', 'v_b', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'v_c',
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.80/1.21 'c_HOL_Ominus__class_Ominus'( 'v_b', 'v_m', 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( 'v_a', 'v_m',
% 0.80/1.21 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'v_c', 'tc_RealDef_Oreal' ),
% 0.80/1.21 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.80/1.21 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.80/1.21 ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.80/1.21 ],
% 0.80/1.21 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ,
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.21 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.21 ] .
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 percentage equality = 0.197339, percentage horn = 0.917160
% 0.80/1.21 This is a problem with some equality
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21
% 0.80/1.21 Options Used:
% 0.80/1.21
% 0.80/1.21 useres = 1
% 0.80/1.21 useparamod = 1
% 0.80/1.21 useeqrefl = 1
% 0.80/1.21 useeqfact = 1
% 0.80/1.21 usefactor = 1
% 0.80/1.21 usesimpsplitting = 0
% 0.80/1.21 usesimpdemod = 5
% 0.80/1.21 usesimpres = 3
% 0.80/1.21
% 0.80/1.21 resimpinuse = 1000
% 1.97/2.33 resimpclauses = 20000
% 1.97/2.33 substype = eqrewr
% 1.97/2.33 backwardsubs = 1
% 1.97/2.33 selectoldest = 5
% 1.97/2.33
% 1.97/2.33 litorderings [0] = split
% 1.97/2.33 litorderings [1] = extend the termordering, first sorting on arguments
% 1.97/2.33
% 1.97/2.33 termordering = kbo
% 1.97/2.33
% 1.97/2.33 litapriori = 0
% 1.97/2.33 termapriori = 1
% 1.97/2.33 litaposteriori = 0
% 1.97/2.33 termaposteriori = 0
% 1.97/2.33 demodaposteriori = 0
% 1.97/2.33 ordereqreflfact = 0
% 1.97/2.33
% 1.97/2.33 litselect = negord
% 1.97/2.33
% 1.97/2.33 maxweight = 15
% 1.97/2.33 maxdepth = 30000
% 1.97/2.33 maxlength = 115
% 1.97/2.33 maxnrvars = 195
% 1.97/2.33 excuselevel = 1
% 1.97/2.33 increasemaxweight = 1
% 1.97/2.33
% 1.97/2.33 maxselected = 10000000
% 1.97/2.33 maxnrclauses = 10000000
% 1.97/2.33
% 1.97/2.33 showgenerated = 0
% 1.97/2.33 showkept = 0
% 1.97/2.33 showselected = 0
% 1.97/2.33 showdeleted = 0
% 1.97/2.33 showresimp = 1
% 1.97/2.33 showstatus = 2000
% 1.97/2.33
% 1.97/2.33 prologoutput = 1
% 1.97/2.33 nrgoals = 5000000
% 1.97/2.33 totalproof = 1
% 1.97/2.33
% 1.97/2.33 Symbols occurring in the translation:
% 1.97/2.33
% 1.97/2.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.97/2.33 . [1, 2] (w:1, o:104, a:1, s:1, b:0),
% 1.97/2.33 ! [4, 1] (w:0, o:45, a:1, s:1, b:0),
% 1.97/2.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.97/2.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.97/2.33 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:50, a:1
% 1.97/2.33 , s:1, b:0),
% 1.97/2.33 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:133, a:1, s:1, b:0),
% 1.97/2.33 'class_Ring__and__Field_Oordered__idom' [44, 1] (w:1, o:56, a:1, s:1
% 1.97/2.33 , b:0),
% 1.97/2.33 'c_HOL_Oabs__class_Oabs' [46, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.97/2.33 'c_HOL_Oord__class_Oless' [50, 3] (w:1, o:134, a:1, s:1, b:0),
% 1.97/2.33 'class_OrderedGroup_Opordered__ab__group__add' [51, 1] (w:1, o:58, a:
% 1.97/2.33 1, s:1, b:0),
% 1.97/2.33 'c_HOL_Ozero__class_Ozero' [52, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.97/2.33 'c_HOL_Ouminus__class_Ouminus' [53, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.97/2.33 'class_RealVector_Oreal__normed__vector' [54, 1] (w:1, o:60, a:1, s:1
% 1.97/2.33 , b:0),
% 1.97/2.33 'c_RealVector_Onorm__class_Onorm' [55, 2] (w:1, o:131, a:1, s:1, b:0)
% 1.97/2.33 ,
% 1.97/2.33 'tc_RealDef_Oreal' [56, 0] (w:1, o:21, a:1, s:1, b:0),
% 1.97/2.33 'c_lessequals' [57, 3] (w:1, o:135, a:1, s:1, b:0),
% 1.97/2.33 'class_Ring__and__Field_Oordered__semiring__strict' [58, 1] (w:1, o:
% 1.97/2.33 62, a:1, s:1, b:0),
% 1.97/2.33 'class_RealVector_Oreal__algebra__1' [59, 1] (w:1, o:63, a:1, s:1, b:
% 1.97/2.33 0),
% 1.97/2.33 'c_RealVector_Oof__real' [60, 2] (w:1, o:132, a:1, s:1, b:0),
% 1.97/2.33 'c_RealVector_OscaleR__class_OscaleR' [61, 3] (w:1, o:136, a:1, s:1
% 1.97/2.33 , b:0),
% 1.97/2.33 'class_RealVector_Oreal__vector' [62, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.97/2.33
% 1.97/2.33 'class_Orderings_Oorder' [64, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.97/2.33 'class_Orderings_Opreorder' [66, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.97/2.33 'class_OrderedGroup_Ogroup__add' [68, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.97/2.33
% 1.97/2.33 'class_Ring__and__Field_Oordered__ring__strict' [69, 1] (w:1, o:61
% 1.97/2.33 , a:1, s:1, b:0),
% 1.97/2.33 'c_HOL_Oplus__class_Oplus' [70, 3] (w:1, o:137, a:1, s:1, b:0),
% 1.97/2.33 'class_OrderedGroup_Oab__group__add' [71, 1] (w:1, o:68, a:1, s:1, b:
% 1.97/2.33 0),
% 1.97/2.33 'class_OrderedGroup_Opordered__comm__monoid__add' [72, 1] (w:1, o:69
% 1.97/2.33 , a:1, s:1, b:0),
% 1.97/2.33 'class_RealVector_Ometric__space' [73, 1] (w:1, o:70, a:1, s:1, b:0)
% 1.97/2.33 ,
% 1.97/2.33 'c_RealVector_Odist__class_Odist' [74, 3] (w:1, o:138, a:1, s:1, b:0)
% 1.97/2.33 ,
% 1.97/2.33 'class_OrderedGroup_Opordered__ab__group__add__abs' [75, 1] (w:1, o:
% 1.97/2.33 71, a:1, s:1, b:0),
% 1.97/2.33 'class_Ring__and__Field_Oordered__comm__semiring__strict' [76, 1] (w:
% 1.97/2.33 1, o:72, a:1, s:1, b:0),
% 1.97/2.33 'class_Lattices_Oboolean__algebra' [77, 1] (w:1, o:73, a:1, s:1, b:0)
% 1.97/2.33 ,
% 1.97/2.33 'class_Orderings_Olinorder' [78, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.97/2.33 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [79, 1]
% 1.97/2.33 (w:1, o:75, a:1, s:1, b:0),
% 1.97/2.33 'class_OrderedGroup_Ocomm__monoid__add' [80, 1] (w:1, o:76, a:1, s:1
% 1.97/2.33 , b:0),
% 1.97/2.33 'class_OrderedGroup_Olordered__ab__group__add' [81, 1] (w:1, o:77, a:
% 1.97/2.33 1, s:1, b:0),
% 1.97/2.33 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [82, 1]
% 1.97/2.33 (w:1, o:78, a:1, s:1, b:0),
% 1.97/2.33 'class_Ring__and__Field_Oordered__semiring' [83, 1] (w:1, o:79, a:1
% 1.97/2.33 , s:1, b:0),
% 1.97/2.33 'class_Ring__and__Field_Oidom' [84, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.97/2.33 'class_OrderedGroup_Olordered__ab__group__add__abs' [85, 1] (w:1, o:
% 15.13/15.49 81, a:1, s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Oabs__if' [86, 1] (w:1, o:82, a:1, s:1, b:0)
% 15.13/15.49 ,
% 15.13/15.49 'class_Ring__and__Field_Ono__zero__divisors' [87, 1] (w:1, o:55, a:1
% 15.13/15.49 , s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Oring__no__zero__divisors' [88, 1] (w:1, o:83
% 15.13/15.49 , a:1, s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Oring' [93, 1] (w:1, o:84, a:1, s:1, b:0),
% 15.13/15.49 'class_OrderedGroup_Oab__semigroup__idem__mult' [94, 1] (w:1, o:85
% 15.13/15.49 , a:1, s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Oordered__semidom' [95, 1] (w:1, o:86, a:1
% 15.13/15.49 , s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Omult__mono1' [96, 1] (w:1, o:52, a:1, s:1
% 15.13/15.49 , b:0),
% 15.13/15.49 'class_Ring__and__Field_Omult__mono' [97, 1] (w:1, o:53, a:1, s:1, b:
% 15.13/15.49 0),
% 15.13/15.49 'class_Ring__and__Field_Opordered__ring' [98, 1] (w:1, o:87, a:1, s:1
% 15.13/15.49 , b:0),
% 15.13/15.49 'class_Int_Onumber__ring' [99, 1] (w:1, o:88, a:1, s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Opordered__cancel__semiring' [100, 1] (w:1
% 15.13/15.49 , o:89, a:1, s:1, b:0),
% 15.13/15.49 'class_OrderedGroup_Oab__semigroup__mult' [101, 1] (w:1, o:90, a:1
% 15.13/15.49 , s:1, b:0),
% 15.13/15.49 'class_OrderedGroup_Oordered__ab__group__add' [102, 1] (w:1, o:57, a:
% 15.13/15.49 1, s:1, b:0),
% 15.13/15.49 'class_RealVector_Oreal__normed__algebra' [103, 1] (w:1, o:91, a:1
% 15.13/15.49 , s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Ocomm__semiring' [106, 1] (w:1, o:92, a:1, s:
% 15.13/15.49 1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Osemiring' [110, 1] (w:1, o:93, a:1, s:1, b:0
% 15.13/15.49 ),
% 15.13/15.49 'class_OrderedGroup_Omonoid__add' [112, 1] (w:1, o:94, a:1, s:1, b:0)
% 15.13/15.49 ,
% 15.13/15.49 'c_HOL_Ominus__class_Ominus' [113, 3] (w:1, o:139, a:1, s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Opordered__ring__abs' [114, 1] (w:1, o:95, a:
% 15.13/15.49 1, s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Opordered__semiring' [118, 1] (w:1, o:96, a:1
% 15.13/15.49 , s:1, b:0),
% 15.13/15.49 'class_RealVector_Oreal__algebra' [121, 1] (w:1, o:97, a:1, s:1, b:0)
% 15.13/15.49 ,
% 15.13/15.49 'class_RealVector_Oreal__normed__algebra__1' [122, 1] (w:1, o:98, a:1
% 15.13/15.49 , s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Omult__zero' [124, 1] (w:1, o:54, a:1, s:1
% 15.13/15.49 , b:0),
% 15.13/15.49 'class_RealVector_Odist__norm' [125, 1] (w:1, o:99, a:1, s:1, b:0),
% 15.13/15.49 'class_Ring__and__Field_Olordered__ring' [126, 1] (w:1, o:51, a:1, s:
% 15.13/15.49 1, b:0),
% 15.13/15.49 'class_OrderedGroup_Opordered__ab__semigroup__add' [131, 1] (w:1, o:
% 15.13/15.49 100, a:1, s:1, b:0),
% 15.13/15.49 'class_OrderedGroup_Ocancel__semigroup__add' [133, 1] (w:1, o:101, a:
% 15.13/15.49 1, s:1, b:0),
% 15.13/15.49 'class_OrderedGroup_Ocancel__ab__semigroup__add' [134, 1] (w:1, o:102
% 15.13/15.49 , a:1, s:1, b:0),
% 15.13/15.49 'class_OrderedGroup_Oab__semigroup__add' [135, 1] (w:1, o:103, a:1
% 15.13/15.49 , s:1, b:0),
% 15.13/15.49 'v_a' [136, 0] (w:1, o:41, a:1, s:1, b:0),
% 15.13/15.49 'v_b' [137, 0] (w:1, o:42, a:1, s:1, b:0),
% 15.13/15.49 'v_c' [138, 0] (w:1, o:43, a:1, s:1, b:0),
% 15.13/15.49 'v_m' [139, 0] (w:1, o:44, a:1, s:1, b:0).
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Starting Search:
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 5563
% 15.13/15.49 Kept: 2108
% 15.13/15.49 Inuse: 151
% 15.13/15.49 Deleted: 5
% 15.13/15.49 Deletedinuse: 0
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 14168
% 15.13/15.49 Kept: 4162
% 15.13/15.49 Inuse: 231
% 15.13/15.49 Deleted: 6
% 15.13/15.49 Deletedinuse: 1
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 24696
% 15.13/15.49 Kept: 6222
% 15.13/15.49 Inuse: 315
% 15.13/15.49 Deleted: 7
% 15.13/15.49 Deletedinuse: 1
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 32975
% 15.13/15.49 Kept: 8245
% 15.13/15.49 Inuse: 364
% 15.13/15.49 Deleted: 12
% 15.13/15.49 Deletedinuse: 5
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 39710
% 15.13/15.49 Kept: 10277
% 15.13/15.49 Inuse: 425
% 15.13/15.49 Deleted: 14
% 15.13/15.49 Deletedinuse: 5
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 52780
% 15.13/15.49 Kept: 12820
% 15.13/15.49 Inuse: 439
% 15.13/15.49 Deleted: 68
% 15.13/15.49 Deletedinuse: 6
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 61105
% 15.13/15.49 Kept: 14921
% 15.13/15.49 Inuse: 450
% 15.13/15.49 Deleted: 113
% 15.13/15.49 Deletedinuse: 7
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49
% 15.13/15.49 Intermediate Status:
% 15.13/15.49 Generated: 74787
% 15.13/15.49 Kept: 17179
% 15.13/15.49 Inuse: 456
% 15.13/15.49 Deleted: 162
% 15.13/15.49 Deletedinuse: 7
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 15.13/15.49 Done
% 15.13/15.49
% 15.13/15.49 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 82442
% 57.38/57.82 Kept: 19594
% 57.38/57.82 Inuse: 465
% 57.38/57.82 Deleted: 198
% 57.38/57.82 Deletedinuse: 7
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying clauses:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 94314
% 57.38/57.82 Kept: 21759
% 57.38/57.82 Inuse: 508
% 57.38/57.82 Deleted: 1088
% 57.38/57.82 Deletedinuse: 7
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 113362
% 57.38/57.82 Kept: 24139
% 57.38/57.82 Inuse: 528
% 57.38/57.82 Deleted: 1088
% 57.38/57.82 Deletedinuse: 7
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 127509
% 57.38/57.82 Kept: 26202
% 57.38/57.82 Inuse: 568
% 57.38/57.82 Deleted: 1088
% 57.38/57.82 Deletedinuse: 7
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 140450
% 57.38/57.82 Kept: 28213
% 57.38/57.82 Inuse: 596
% 57.38/57.82 Deleted: 1297
% 57.38/57.82 Deletedinuse: 216
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 148500
% 57.38/57.82 Kept: 30672
% 57.38/57.82 Inuse: 637
% 57.38/57.82 Deleted: 1301
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 163803
% 57.38/57.82 Kept: 32776
% 57.38/57.82 Inuse: 667
% 57.38/57.82 Deleted: 1301
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 172242
% 57.38/57.82 Kept: 34838
% 57.38/57.82 Inuse: 702
% 57.38/57.82 Deleted: 1301
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 182064
% 57.38/57.82 Kept: 36848
% 57.38/57.82 Inuse: 734
% 57.38/57.82 Deleted: 1301
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 188684
% 57.38/57.82 Kept: 39123
% 57.38/57.82 Inuse: 757
% 57.38/57.82 Deleted: 1301
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying clauses:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 199337
% 57.38/57.82 Kept: 41303
% 57.38/57.82 Inuse: 787
% 57.38/57.82 Deleted: 3831
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 210927
% 57.38/57.82 Kept: 43409
% 57.38/57.82 Inuse: 807
% 57.38/57.82 Deleted: 3831
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 221071
% 57.38/57.82 Kept: 45933
% 57.38/57.82 Inuse: 817
% 57.38/57.82 Deleted: 3831
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 234504
% 57.38/57.82 Kept: 48214
% 57.38/57.82 Inuse: 842
% 57.38/57.82 Deleted: 3831
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 249723
% 57.38/57.82 Kept: 50845
% 57.38/57.82 Inuse: 872
% 57.38/57.82 Deleted: 3831
% 57.38/57.82 Deletedinuse: 219
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 270976
% 57.38/57.82 Kept: 53073
% 57.38/57.82 Inuse: 922
% 57.38/57.82 Deleted: 3833
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 285972
% 57.38/57.82 Kept: 55210
% 57.38/57.82 Inuse: 937
% 57.38/57.82 Deleted: 3833
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 305968
% 57.38/57.82 Kept: 58106
% 57.38/57.82 Inuse: 972
% 57.38/57.82 Deleted: 3833
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 334872
% 57.38/57.82 Kept: 60429
% 57.38/57.82 Inuse: 1027
% 57.38/57.82 Deleted: 3833
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying clauses:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 348199
% 57.38/57.82 Kept: 62602
% 57.38/57.82 Inuse: 1052
% 57.38/57.82 Deleted: 4308
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 368601
% 57.38/57.82 Kept: 64745
% 57.38/57.82 Inuse: 1097
% 57.38/57.82 Deleted: 4308
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 390213
% 57.38/57.82 Kept: 66745
% 57.38/57.82 Inuse: 1118
% 57.38/57.82 Deleted: 4308
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 402701
% 57.38/57.82 Kept: 68751
% 57.38/57.82 Inuse: 1156
% 57.38/57.82 Deleted: 4308
% 57.38/57.82 Deletedinuse: 221
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82
% 57.38/57.82 Intermediate Status:
% 57.38/57.82 Generated: 413939
% 57.38/57.82 Kept: 71239
% 57.38/57.82 Inuse: 1182
% 57.38/57.82 Deleted: 4310
% 57.38/57.82 Deletedinuse: 223
% 57.38/57.82
% 57.38/57.82 Resimplifying inuse:
% 57.38/57.82 Done
% 57.38/57.82
% 57.38/57.82 ResimplifyCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------