TSTP Solution File: ALG362-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG362-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 12:10:31 EDT 2022
% Result : Timeout 300.02s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG362-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 8 23:10:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.90/1.29 *** allocated 10000 integers for termspace/termends
% 0.90/1.29 *** allocated 10000 integers for clauses
% 0.90/1.29 *** allocated 10000 integers for justifications
% 0.90/1.29 *** allocated 15000 integers for termspace/termends
% 0.90/1.29 Bliksem 1.12
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 Automatic Strategy Selection
% 0.90/1.29
% 0.90/1.29 Clauses:
% 0.90/1.29 [
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.29 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ) ],
% 0.90/1.29 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.29 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.90/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.90/1.29 =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.90/1.29 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.29 ), X ), Y ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.90/1.29 , 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.90/1.29 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.90/1.29 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.29 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ) ) ), =( Z, T ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.29 , T, X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.90/1.29 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.29 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.29 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.90/1.29 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.90/1.29 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.29 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.90/1.29 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.29 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.29 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.29 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.90/1.29 ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.29 , X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.29 , X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.29 ), =( Z, Y ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.90/1.29 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.90/1.29 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.90/1.29 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.29 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.90/1.29 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.29 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.90/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.29 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.90/1.29 , Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.29 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.29 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.29 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.90/1.29 ) ],
% 0.90/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.90/1.29 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.29 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.90/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.29 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.29 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.29 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.29 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.29 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.29 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.29 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.90/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.29 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.29 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.29 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.29 ],
% 0.90/1.29 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 0.90/1.29 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.29 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.90/1.29 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.90/1.29 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.90/1.29 , 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.90/1.29 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.90/1.29 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.90/1.29 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 Z, Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.29 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.90/1.29 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.29 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.29 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.29 , X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.29 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.29 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.29 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ), X ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.29 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.29 , X ), W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.29 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.90/1.29 , X ), T, X ), W, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.29 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.29 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.29 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.29 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.29 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.90/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.90/1.29 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.29 T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.29 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.90/1.29 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.90/1.29 ) ],
% 0.90/1.29 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.30 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.30 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 0.90/1.30 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 0.90/1.30 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.30 , U, X ), X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.30 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.30 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.30 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.30 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.30 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.30 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.30 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.30 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.30 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.30 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.30 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.90/1.30 ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.30 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.30 , U, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.90/1.30 ), Y ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.90/1.30 , X ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.90/1.30 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.90/1.30 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.90/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.90/1.30 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.90/1.30 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.90/1.30 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.90/1.30 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.30 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.90/1.30 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.90/1.30 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Oof__real'( 'v_r', X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'v_r', 'c_HOL_Oone__class_Oone'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.90/1.30 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.90/1.30 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.30 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.90/1.30 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.30 , X ), W, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.90/1.30 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.30 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.90/1.30 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.90/1.30 ), X ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.90/1.30 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.30 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.30 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.30 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.90/1.30 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.30 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.90/1.30 W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.90/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.90/1.30 , X ), T, X ), W, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.90/1.30 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.90/1.30 W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.90/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.30 , X ), W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.90/1.30 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.90/1.30 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.30 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.90/1.30 ), Y, X ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.30 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.90/1.30 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.90/1.30 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.90/1.30 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.30 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.90/1.30 ), X ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'v_r', 'v_s', 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Ouminus__class_Ouminus'( 'v_s'
% 0.90/1.30 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.30 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.90/1.30 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.90/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( T, Y, X ),
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Z, T, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 0.90/1.30 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.90/1.30 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.90/1.30 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.90/1.30 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ =( 'c_Complex_ORe'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ =( 'c_Complex_ORe'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.90/1.30 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_ORe'( X
% 0.90/1.30 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.90/1.30 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.90/1.30 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.90/1.30 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.90/1.30 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 0.90/1.30 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 0.90/1.30 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( hAPP( 'v_s', X ),
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.90/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.30 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ) ) ), =( Y, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.30 X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.30 X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.90/1.30 , X ), Z, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.90/1.30 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( hAPP( 'v_s',
% 0.90/1.30 'v_n____' ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( hAPP( 'v_s'
% 0.90/1.30 , 'v_n____' ) ), 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.90/1.30 hAPP( 'v_s', 'v_n____' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( hAPP(
% 0.90/1.30 'v_s', 'v_n____' ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'v_r', 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.90/1.30 ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ] .
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 percentage equality = 0.202614, percentage horn = 0.918033
% 0.90/1.30 This is a problem with some equality
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 Options Used:
% 0.90/1.30
% 0.90/1.30 useres = 1
% 0.90/1.30 useparamod = 1
% 0.90/1.30 useeqrefl = 1
% 0.90/1.30 useeqfact = 1
% 0.90/1.30 usefactor = 1
% 0.90/1.30 usesimpsplitting = 0
% 0.90/1.30 usesimpdemod = 5
% 0.90/1.30 usesimpres = 3
% 0.90/1.30
% 0.90/1.30 resimpinuse = 1000
% 0.90/1.30 resimpclauses = 20000
% 0.90/1.30 substype = eqrewr
% 0.90/1.30 backwardsubs = 1
% 0.90/1.30 selectoldest = 5
% 0.90/1.30
% 0.90/1.30 litorderings [0] = split
% 0.90/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.30
% 0.90/1.30 termordering = kbo
% 0.90/1.30
% 0.90/1.30 litapriori = 0
% 0.90/1.30 termapriori = 1
% 0.90/1.30 litaposteriori = 0
% 0.90/1.30 termaposteriori = 0
% 0.90/1.30 demodaposteriori = 0
% 0.90/1.30 ordereqreflfact = 0
% 0.90/1.30
% 0.90/1.30 litselect = negord
% 0.90/1.30
% 0.90/1.30 maxweight = 15
% 0.90/1.30 maxdepth = 30000
% 0.90/1.30 maxlength = 115
% 0.90/1.30 maxnrvars = 195
% 0.90/1.30 excuselevel = 1
% 0.90/1.30 increasemaxweight = 1
% 0.90/1.30
% 0.90/1.30 maxselected = 10000000
% 0.90/1.30 maxnrclauses = 10000000
% 0.90/1.30
% 0.90/1.30 showgenerated = 0
% 0.90/1.30 showkept = 0
% 0.90/1.30 showselected = 0
% 0.90/1.30 showdeleted = 0
% 0.90/1.30 showresimp = 1
% 0.90/1.30 showstatus = 2000
% 0.90/1.30
% 0.90/1.30 prologoutput = 1
% 0.90/1.30 nrgoals = 5000000
% 0.90/1.30 totalproof = 1
% 0.90/1.30
% 0.90/1.30 Symbols occurring in the translation:
% 0.90/1.30
% 0.90/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.30 . [1, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.90/1.30 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 0.90/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 'class_OrderedGroup_Ogroup__add' [40, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 'c_HOL_Ominus__class_Ominus' [42, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oidom' [44, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.90/1.30 'class_Int_Onumber__ring' [45, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.90/1.30 'class_OrderedGroup_Opordered__ab__group__add__abs' [47, 1] (w:1, o:
% 0.90/1.30 58, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs' [48, 2] (w:1, o:147, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus' [49, 2] (w:1, o:148, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Oord__class_Oless' [50, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oabs__if' [51, 1] (w:1, o:59, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 'class_Orderings_Olinorder' [52, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.57/2.95 'class_OrderedGroup_Olordered__ab__group__add__abs' [53, 1] (w:1, o:
% 2.57/2.95 61, a:1, s:1, b:0),
% 2.57/2.95 'tc_RealDef_Oreal' [55, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.57/2.95 'c_HOL_Otimes__class_Otimes' [56, 3] (w:1, o:155, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oordered__semiring__strict' [58, 1] (w:1, o:
% 2.57/2.95 68, a:1, s:1, b:0),
% 2.57/2.95 'c_lessequals' [60, 3] (w:1, o:156, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oordered__semiring' [61, 1] (w:1, o:69, a:1
% 2.57/2.95 , s:1, b:0),
% 2.57/2.95 'c_HOL_Oplus__class_Oplus' [62, 3] (w:1, o:157, a:1, s:1, b:0),
% 2.57/2.95 'class_RealVector_Ometric__space' [63, 1] (w:1, o:70, a:1, s:1, b:0)
% 2.57/2.95 ,
% 2.57/2.95 'c_RealVector_Odist__class_Odist' [64, 3] (w:1, o:158, a:1, s:1, b:0)
% 2.57/2.95 ,
% 2.57/2.95 'class_RealVector_Oreal__vector' [65, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.57/2.95
% 2.57/2.95 'c_RealVector_OscaleR__class_OscaleR' [66, 3] (w:1, o:159, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'class_RealVector_Oreal__normed__vector' [67, 1] (w:1, o:72, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'c_RealVector_Onorm__class_Onorm' [69, 2] (w:1, o:149, a:1, s:1, b:0)
% 2.57/2.95 ,
% 2.57/2.95 'class_RealVector_Oreal__algebra__1' [70, 1] (w:1, o:73, a:1, s:1, b:
% 2.57/2.95 0),
% 2.57/2.95 'c_RealVector_Oof__real' [71, 2] (w:1, o:150, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oring' [73, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.57/2.95 'class_OrderedGroup_Opordered__ab__group__add' [76, 1] (w:1, o:75, a:
% 2.57/2.95 1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oordered__idom' [77, 1] (w:1, o:76, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'class_Ring__and__Field_Odivision__ring' [78, 1] (w:1, o:79, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'class_Ring__and__Field_Odivision__by__zero' [79, 1] (w:1, o:80, a:1
% 2.57/2.95 , s:1, b:0),
% 2.57/2.95 'c_HOL_Oinverse__class_Oinverse' [80, 2] (w:1, o:151, a:1, s:1, b:0)
% 2.57/2.95 ,
% 2.57/2.95 'c_NthRoot_Osqrt' [81, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Ocomm__semiring__1' [82, 1] (w:1, o:77, a:1
% 2.57/2.95 , s:1, b:0),
% 2.57/2.95 'class_Orderings_Oorder' [83, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.57/2.95 'class_Orderings_Opreorder' [85, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oordered__semidom' [86, 1] (w:1, o:84, a:1
% 2.57/2.95 , s:1, b:0),
% 2.57/2.95 'c_Power_Opower__class_Opower' [88, 3] (w:1, o:160, a:1, s:1, b:0),
% 2.57/2.95 'class_OrderedGroup_Oab__group__add' [89, 1] (w:1, o:85, a:1, s:1, b:
% 2.57/2.95 0),
% 2.57/2.95 'class_Ring__and__Field_Oordered__ring__strict' [92, 1] (w:1, o:67
% 2.57/2.95 , a:1, s:1, b:0),
% 2.57/2.95 'class_RealVector_Oreal__normed__algebra' [93, 1] (w:1, o:86, a:1, s:
% 2.57/2.95 1, b:0),
% 2.57/2.95 'c_HOL_Oone__class_Oone' [94, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oordered__field' [95, 1] (w:1, o:88, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'class_OrderedGroup_Opordered__comm__monoid__add' [96, 1] (w:1, o:89
% 2.57/2.95 , a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Ono__zero__divisors' [100, 1] (w:1, o:66, a:1
% 2.57/2.95 , s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oring__no__zero__divisors' [101, 1] (w:1, o:
% 2.57/2.95 90, a:1, s:1, b:0),
% 2.57/2.95 'class_OrderedGroup_Olordered__ab__group__add' [102, 1] (w:1, o:91
% 2.57/2.95 , a:1, s:1, b:0),
% 2.57/2.95 'class_Lattices_Oboolean__algebra' [107, 1] (w:1, o:92, a:1, s:1, b:0
% 2.57/2.95 ),
% 2.57/2.95 'class_OrderedGroup_Oab__semigroup__idem__mult' [108, 1] (w:1, o:93
% 2.57/2.95 , a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Ozero__neq__one' [109, 1] (w:1, o:94, a:1, s:
% 2.57/2.95 1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Omult__zero' [110, 1] (w:1, o:63, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'class_Power_Opower' [111, 1] (w:1, o:106, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oring__1__no__zero__divisors' [112, 1] (w:1
% 2.57/2.95 , o:107, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Omult__mono1' [113, 1] (w:1, o:64, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'class_Ring__and__Field_Omult__mono' [114, 1] (w:1, o:65, a:1, s:1
% 2.57/2.95 , b:0),
% 2.57/2.95 'class_Ring__and__Field_Opordered__ring' [115, 1] (w:1, o:109, a:1
% 2.57/2.95 , s:1, b:0),
% 2.57/2.95 'class_OrderedGroup_Ocomm__monoid__mult' [117, 1] (w:1, o:95, a:1, s:
% 2.57/2.95 1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Opordered__cancel__semiring' [118, 1] (w:1
% 2.57/2.95 , o:110, a:1, s:1, b:0),
% 2.57/2.95 'tc_Complex_Ocomplex' [119, 0] (w:1, o:37, a:1, s:1, b:0),
% 2.57/2.95 'class_Ring__and__Field_Oordered__comm__semiring__strict' [120, 1]
% 14.38/14.74 (w:1, o:108, a:1, s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [122, 1]
% 14.38/14.74 (w:1, o:96, a:1, s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Ocomm__monoid__add' [123, 1] (w:1, o:97, a:1, s:1
% 14.38/14.74 , b:0),
% 14.38/14.74 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [124, 1]
% 14.38/14.74 (w:1, o:98, a:1, s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Oab__semigroup__mult' [125, 1] (w:1, o:99, a:1
% 14.38/14.74 , s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Oordered__ab__group__add' [126, 1] (w:1, o:57, a:
% 14.38/14.74 1, s:1, b:0),
% 14.38/14.74 'class_Ring__and__Field_Ofield' [127, 1] (w:1, o:111, a:1, s:1, b:0)
% 14.38/14.74 ,
% 14.38/14.74 'class_Ring__and__Field_Opordered__semiring' [128, 1] (w:1, o:113, a:
% 14.38/14.74 1, s:1, b:0),
% 14.38/14.74 'c_Transcendental_Osin' [129, 1] (w:1, o:114, a:1, s:1, b:0),
% 14.38/14.74 'c_Transcendental_Ocos' [133, 1] (w:1, o:115, a:1, s:1, b:0),
% 14.38/14.74 'class_RealVector_Oreal__algebra' [134, 1] (w:1, o:116, a:1, s:1, b:0
% 14.38/14.74 ),
% 14.38/14.74 'class_Ring__and__Field_Ocomm__semiring' [136, 1] (w:1, o:78, a:1, s:
% 14.38/14.74 1, b:0),
% 14.38/14.74 'class_Ring__and__Field_Osemiring' [137, 1] (w:1, o:118, a:1, s:1, b:
% 14.38/14.74 0),
% 14.38/14.74 'class_OrderedGroup_Omonoid__add' [138, 1] (w:1, o:100, a:1, s:1, b:0
% 14.38/14.74 ),
% 14.38/14.74 'class_OrderedGroup_Omonoid__mult' [139, 1] (w:1, o:101, a:1, s:1, b:
% 14.38/14.74 0),
% 14.38/14.74 'class_Ring__and__Field_Opordered__ring__abs' [140, 1] (w:1, o:112
% 14.38/14.74 , a:1, s:1, b:0),
% 14.38/14.74 'v_r' [141, 0] (w:1, o:42, a:1, s:1, b:0),
% 14.38/14.74 'class_RealVector_Oreal__normed__algebra__1' [142, 1] (w:1, o:119, a:
% 14.38/14.74 1, s:1, b:0),
% 14.38/14.74 'class_Ring__and__Field_Oring__1' [144, 1] (w:1, o:117, a:1, s:1, b:0
% 14.38/14.74 ),
% 14.38/14.74 'class_RealVector_Odist__norm' [145, 1] (w:1, o:120, a:1, s:1, b:0),
% 14.38/14.74
% 14.38/14.74 'class_Ring__and__Field_Olordered__ring' [146, 1] (w:1, o:62, a:1, s:
% 14.38/14.74 1, b:0),
% 14.38/14.74 'v_s' [147, 0] (w:1, o:43, a:1, s:1, b:0),
% 14.38/14.74 'c_Complex_ORe' [148, 1] (w:1, o:121, a:1, s:1, b:0),
% 14.38/14.74 hAPP [150, 2] (w:1, o:152, a:1, s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Opordered__ab__semigroup__add' [154, 1] (w:1, o:
% 14.38/14.74 102, a:1, s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Ocancel__semigroup__add' [156, 1] (w:1, o:103, a:
% 14.38/14.74 1, s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Ocancel__ab__semigroup__add' [157, 1] (w:1, o:104
% 14.38/14.74 , a:1, s:1, b:0),
% 14.38/14.74 'class_OrderedGroup_Oab__semigroup__add' [158, 1] (w:1, o:105, a:1
% 14.38/14.74 , s:1, b:0),
% 14.38/14.74 'v_n____' [159, 0] (w:1, o:46, a:1, s:1, b:0),
% 14.38/14.74 'tc_nat' [160, 0] (w:1, o:47, a:1, s:1, b:0).
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Starting Search:
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 4273
% 14.38/14.74 Kept: 2002
% 14.38/14.74 Inuse: 132
% 14.38/14.74 Deleted: 3
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 9774
% 14.38/14.74 Kept: 4003
% 14.38/14.74 Inuse: 222
% 14.38/14.74 Deleted: 5
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 16789
% 14.38/14.74 Kept: 6187
% 14.38/14.74 Inuse: 298
% 14.38/14.74 Deleted: 8
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 27955
% 14.38/14.74 Kept: 8802
% 14.38/14.74 Inuse: 343
% 14.38/14.74 Deleted: 8
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 36647
% 14.38/14.74 Kept: 10803
% 14.38/14.74 Inuse: 407
% 14.38/14.74 Deleted: 8
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 50119
% 14.38/14.74 Kept: 13015
% 14.38/14.74 Inuse: 462
% 14.38/14.74 Deleted: 14
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 65121
% 14.38/14.74 Kept: 15027
% 14.38/14.74 Inuse: 518
% 14.38/14.74 Deleted: 14
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 73783
% 14.38/14.74 Kept: 17041
% 14.38/14.74 Inuse: 535
% 14.38/14.74 Deleted: 14
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 84102
% 14.38/14.74 Kept: 19305
% 14.38/14.74 Inuse: 557
% 14.38/14.74 Deleted: 14
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying clauses:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74
% 14.38/14.74 Intermediate Status:
% 14.38/14.74 Generated: 98201
% 14.38/14.74 Kept: 21839
% 14.38/14.74 Inuse: 607
% 14.38/14.74 Deleted: 248
% 14.38/14.74 Deletedinuse: 0
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 14.38/14.74 Done
% 14.38/14.74
% 14.38/14.74 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 117251
% 63.41/63.82 Kept: 24285
% 63.41/63.82 Inuse: 642
% 63.41/63.82 Deleted: 248
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 129395
% 63.41/63.82 Kept: 26291
% 63.41/63.82 Inuse: 659
% 63.41/63.82 Deleted: 248
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 167250
% 63.41/63.82 Kept: 29317
% 63.41/63.82 Inuse: 682
% 63.41/63.82 Deleted: 248
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 177534
% 63.41/63.82 Kept: 31385
% 63.41/63.82 Inuse: 717
% 63.41/63.82 Deleted: 248
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 195922
% 63.41/63.82 Kept: 34831
% 63.41/63.82 Inuse: 762
% 63.41/63.82 Deleted: 248
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 208755
% 63.41/63.82 Kept: 36851
% 63.41/63.82 Inuse: 796
% 63.41/63.82 Deleted: 248
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 225401
% 63.41/63.82 Kept: 39864
% 63.41/63.82 Inuse: 817
% 63.41/63.82 Deleted: 248
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying clauses:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 237657
% 63.41/63.82 Kept: 42089
% 63.41/63.82 Inuse: 852
% 63.41/63.82 Deleted: 573
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 251485
% 63.41/63.82 Kept: 44116
% 63.41/63.82 Inuse: 902
% 63.41/63.82 Deleted: 573
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 268999
% 63.41/63.82 Kept: 47323
% 63.41/63.82 Inuse: 939
% 63.41/63.82 Deleted: 576
% 63.41/63.82 Deletedinuse: 0
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 282704
% 63.41/63.82 Kept: 49441
% 63.41/63.82 Inuse: 959
% 63.41/63.82 Deleted: 579
% 63.41/63.82 Deletedinuse: 3
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 295657
% 63.41/63.82 Kept: 51570
% 63.41/63.82 Inuse: 1004
% 63.41/63.82 Deleted: 579
% 63.41/63.82 Deletedinuse: 3
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 305497
% 63.41/63.82 Kept: 53717
% 63.41/63.82 Inuse: 1034
% 63.41/63.82 Deleted: 579
% 63.41/63.82 Deletedinuse: 3
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 317527
% 63.41/63.82 Kept: 56026
% 63.41/63.82 Inuse: 1054
% 63.41/63.82 Deleted: 579
% 63.41/63.82 Deletedinuse: 3
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 330693
% 63.41/63.82 Kept: 58072
% 63.41/63.82 Inuse: 1074
% 63.41/63.82 Deleted: 579
% 63.41/63.82 Deletedinuse: 3
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 343112
% 63.41/63.82 Kept: 60247
% 63.41/63.82 Inuse: 1109
% 63.41/63.82 Deleted: 579
% 63.41/63.82 Deletedinuse: 3
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying clauses:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 354785
% 63.41/63.82 Kept: 62423
% 63.41/63.82 Inuse: 1136
% 63.41/63.82 Deleted: 1211
% 63.41/63.82 Deletedinuse: 9
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 373782
% 63.41/63.82 Kept: 64595
% 63.41/63.82 Inuse: 1174
% 63.41/63.82 Deleted: 1211
% 63.41/63.82 Deletedinuse: 9
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 385486
% 63.41/63.82 Kept: 66633
% 63.41/63.82 Inuse: 1188
% 63.41/63.82 Deleted: 1215
% 63.41/63.82 Deletedinuse: 12
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 399426
% 63.41/63.82 Kept: 69425
% 63.41/63.82 Inuse: 1208
% 63.41/63.82 Deleted: 1215
% 63.41/63.82 Deletedinuse: 12
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 411466
% 63.41/63.82 Kept: 72187
% 63.41/63.82 Inuse: 1213
% 63.41/63.82 Deleted: 1215
% 63.41/63.82 Deletedinuse: 12
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 424152
% 63.41/63.82 Kept: 74335
% 63.41/63.82 Inuse: 1223
% 63.41/63.82 Deleted: 1215
% 63.41/63.82 Deletedinuse: 12
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 437166
% 63.41/63.82 Kept: 76521
% 63.41/63.82 Inuse: 1248
% 63.41/63.82 Deleted: 1215
% 63.41/63.82 Deletedinuse: 12
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 465912
% 63.41/63.82 Kept: 79887
% 63.41/63.82 Inuse: 1268
% 63.41/63.82 Deleted: 1215
% 63.41/63.82 Deletedinuse: 12
% 63.41/63.82
% 63.41/63.82 Resimplifying inuse:
% 63.41/63.82 Done
% 63.41/63.82
% 63.41/63.82
% 63.41/63.82 Intermediate Status:
% 63.41/63.82 Generated: 489475
% 63.41/63.82 Kept: 82116
% 180.78/181.23 Inuse: 1273
% 180.78/181.23 Deleted: 1215
% 180.78/181.23 Deletedinuse: 12
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying clauses:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 516881
% 180.78/181.23 Kept: 84640
% 180.78/181.23 Inuse: 1283
% 180.78/181.23 Deleted: 1991
% 180.78/181.23 Deletedinuse: 12
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 535257
% 180.78/181.23 Kept: 86692
% 180.78/181.23 Inuse: 1333
% 180.78/181.23 Deleted: 2003
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 565760
% 180.78/181.23 Kept: 89789
% 180.78/181.23 Inuse: 1353
% 180.78/181.23 Deleted: 2003
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 583638
% 180.78/181.23 Kept: 92000
% 180.78/181.23 Inuse: 1378
% 180.78/181.23 Deleted: 2003
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 614431
% 180.78/181.23 Kept: 95919
% 180.78/181.23 Inuse: 1388
% 180.78/181.23 Deleted: 2003
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 640556
% 180.78/181.23 Kept: 98730
% 180.78/181.23 Inuse: 1418
% 180.78/181.23 Deleted: 2003
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 652249
% 180.78/181.23 Kept: 100956
% 180.78/181.23 Inuse: 1443
% 180.78/181.23 Deleted: 2003
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying clauses:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 670800
% 180.78/181.23 Kept: 104915
% 180.78/181.23 Inuse: 1463
% 180.78/181.23 Deleted: 3145
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 682771
% 180.78/181.23 Kept: 107111
% 180.78/181.23 Inuse: 1493
% 180.78/181.23 Deleted: 3145
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 696788
% 180.78/181.23 Kept: 109232
% 180.78/181.23 Inuse: 1528
% 180.78/181.23 Deleted: 3145
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 736794
% 180.78/181.23 Kept: 112077
% 180.78/181.23 Inuse: 1533
% 180.78/181.23 Deleted: 3145
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 753968
% 180.78/181.23 Kept: 114107
% 180.78/181.23 Inuse: 1565
% 180.78/181.23 Deleted: 3145
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 775176
% 180.78/181.23 Kept: 117899
% 180.78/181.23 Inuse: 1573
% 180.78/181.23 Deleted: 3145
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 802574
% 180.78/181.23 Kept: 121114
% 180.78/181.23 Inuse: 1608
% 180.78/181.23 Deleted: 3145
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying clauses:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 815507
% 180.78/181.23 Kept: 123690
% 180.78/181.23 Inuse: 1615
% 180.78/181.23 Deleted: 6267
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 834805
% 180.78/181.23 Kept: 125711
% 180.78/181.23 Inuse: 1653
% 180.78/181.23 Deleted: 6267
% 180.78/181.23 Deletedinuse: 24
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 866406
% 180.78/181.23 Kept: 129338
% 180.78/181.23 Inuse: 1698
% 180.78/181.23 Deleted: 6269
% 180.78/181.23 Deletedinuse: 26
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 880581
% 180.78/181.23 Kept: 131542
% 180.78/181.23 Inuse: 1718
% 180.78/181.23 Deleted: 6269
% 180.78/181.23 Deletedinuse: 26
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 894811
% 180.78/181.23 Kept: 133542
% 180.78/181.23 Inuse: 1740
% 180.78/181.23 Deleted: 6269
% 180.78/181.23 Deletedinuse: 26
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 924065
% 180.78/181.23 Kept: 140146
% 180.78/181.23 Inuse: 1763
% 180.78/181.23 Deleted: 6269
% 180.78/181.23 Deletedinuse: 26
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 937725
% 180.78/181.23 Kept: 142385
% 180.78/181.23 Inuse: 1783
% 180.78/181.23 Deleted: 6269
% 180.78/181.23 Deletedinuse: 26
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying clauses:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 948450
% 180.78/181.23 Kept: 144675
% 180.78/181.23 Inuse: 1798
% 180.78/181.23 Deleted: 7933
% 180.78/181.23 Deletedinuse: 26
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 Intermediate Status:
% 180.78/181.23 Generated: 960716
% 180.78/181.23 Kept: 146945
% 180.78/181.23 Inuse: 1803
% 180.78/181.23 Deleted: 7933
% 180.78/181.23 Deletedinuse: 26
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23 Resimplifying inuse:
% 180.78/181.23 Done
% 180.78/181.23
% 180.78/181.23
% 180.78/181.23 ICputime limit exceeded (core dumped)
%------------------------------------------------------------------------------