TSTP Solution File: SWV681-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV681-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:44 EDT 2022
% Result : Timeout 300.01s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWV681-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.10 % Command : bliksem %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Wed Jun 15 09:25:58 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.79/1.21 *** allocated 10000 integers for termspace/termends
% 0.79/1.21 *** allocated 10000 integers for clauses
% 0.79/1.21 *** allocated 10000 integers for justifications
% 0.79/1.21 *** allocated 15000 integers for termspace/termends
% 0.79/1.21 *** allocated 22500 integers for termspace/termends
% 0.79/1.21 *** allocated 33750 integers for termspace/termends
% 0.79/1.21 Bliksem 1.12
% 0.79/1.21
% 0.79/1.21
% 0.79/1.21 Automatic Strategy Selection
% 0.79/1.21
% 0.79/1.21 Clauses:
% 0.79/1.21 [
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.79/1.21 ), Y ), Z ), 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.79/1.21 , X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.79/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisUCont'( Z, X,
% 0.79/1.21 Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), Z ), X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ), X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.79/1.21 ), =( Z, Y ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.21 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.79/1.21 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 0.79/1.21 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 0.79/1.21 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.79/1.21 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.21 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Power_Opower__class_Opower'( Y
% 0.79/1.21 , Z, X ) ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.79/1.21 X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.21 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.21 Z, T, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.79/1.21 , X ) ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.79/1.21 , X ) ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), Y, X ), Z ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, T ), U ) )
% 0.79/1.21 , hAPP( hAPP( X, Z ), U ) ), =( T, W ), =( U, W ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 0.79/1.21 , hAPP( hAPP( X, Z ), U ) ), =( T, W ), =( U, W ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), Z ) )
% 0.79/1.21 , hAPP( hAPP( X, T ), U ) ), =( Z, W ), =( U, W ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 0.79/1.21 , hAPP( hAPP( X, T ), U ) ), =( Z, W ), =( U, W ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( X, U ),
% 0.79/1.21 T ) ), =( Y, W ), =( T, W ), ~( 'c_Ring__and__Field_Ofield'( V0, X, U, Z
% 0.79/1.21 , V1, V2, W, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( X, U ),
% 0.79/1.21 T ) ), =( T, W ), =( Y, W ), ~( 'c_Ring__and__Field_Ofield'( V0, X, U, Z
% 0.79/1.21 , V1, V2, W, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Ofield'( W, Z, V0, X,
% 0.79/1.21 V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Ofield'( W, Y, V0, X,
% 0.79/1.21 V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, X, V0, V1, Y, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, X, V0, V1, V2, V3, V4, Y, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ),
% 0.79/1.21 T ) ), ~( 'c_Ring__and__Field_Ofield'( U, Y, W, V0, V1, X, V2, V3, V4 ) )
% 0.79/1.21 ],
% 0.79/1.21 [ =( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( X, Z, T, U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( Y, hAPP( hAPP( X, Z ), T
% 0.79/1.21 ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, X, W, V0, V1, Y, V2, V3, V4 )
% 0.79/1.21 ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Ring__and__Field_Ofield'( T, X
% 0.79/1.21 , U, W, V0, V1, Y, V2, V3 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, X, W, T, V0, V1, V2, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W ) )
% 0.79/1.21 , hAPP( hAPP( Y, hAPP( hAPP( X, hAPP( hAPP( V0, Z ), W ) ), hAPP( hAPP(
% 0.79/1.21 V0, U ), T ) ) ), hAPP( hAPP( V0, T ), W ) ) ), =( W, V1 ), =( T, V1 ),
% 0.79/1.21 ~( 'c_Ring__and__Field_Ofield'( V2, Y, V3, V0, X, V4, V1, V5, V6 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ), hAPP( hAPP( U, hAPP(
% 0.79/1.21 hAPP( U, hAPP( hAPP( X, Z ), T ) ), hAPP( Y, Z ) ) ), hAPP( Y, T ) ) ),
% 0.79/1.21 =( T, W ), =( Z, W ), ~( 'c_Ring__and__Field_Ofield'( Y, V0, V1, U, V2,
% 0.79/1.21 V3, W, X, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W ) )
% 0.79/1.21 , hAPP( hAPP( Y, hAPP( hAPP( X, hAPP( hAPP( V0, Z ), W ) ), hAPP( hAPP(
% 0.79/1.21 V0, U ), T ) ) ), hAPP( hAPP( V0, T ), W ) ) ), =( W, V1 ), =( T, V1 ),
% 0.79/1.21 ~( 'c_Ring__and__Field_Ofield'( V2, Y, V3, V0, V4, V5, V1, X, V6 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Ring__and__Field_Ofield'( T, X
% 0.79/1.21 , Z, U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, X
% 0.79/1.21 , V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( T, U, W, X, V0, V1, V2, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.21 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, X
% 0.79/1.21 , V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1
% 0.79/1.21 , V2, V3, V4, X, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, X, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.21 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1
% 0.79/1.21 , V2, V3, V4, X, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, V0, V1, V2, U, Z, V3, X, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, V0, V1, V2, U, Y, V3, X, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1, V2
% 0.79/1.21 , Z, V3, V4, X, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1, V2
% 0.79/1.21 , Y, V3, V4, X, V5 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 V3, hAPP( hAPP( V1, hAPP( hAPP( U, V3 ), V4 ) ), V4 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 hAPP( hAPP( U, hAPP( hAPP( V1, V3 ), V4 ) ), V4 ), V3 ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 0.79/1.21 ), Z ), Y ), 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 0.79/1.21 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( V2, V3, X ) ), V3 ), V2 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 0.79/1.21 =( V2, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( V2, V3, X ) ), V3 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.79/1.21 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.79/1.21 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.79/1.21 X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, Y, X, V0, Z, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), Y ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, Y, X, V0, Z, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U
% 0.79/1.21 ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U
% 0.79/1.21 ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( V0, W, X, V1, Y, V2
% 0.79/1.21 , V3, V4 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), Y ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, Y, X, V0, Z, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T
% 0.79/1.21 ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U
% 0.79/1.21 ), Z ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( V0, W, X, V1, Y, V2
% 0.79/1.21 , V3, V4 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Z ) ), Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.79/1.21 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), T, X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 , T, X ) ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), X ) ),
% 0.79/1.21 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ) ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 0.79/1.21 , Z, X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'( Y
% 0.79/1.21 , Z, X, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.79/1.21 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( X
% 0.79/1.21 ) ) ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.79/1.21 ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.79/1.21 ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Lim_OLIM'(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z, hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), X, X ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), T ), Z, X ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U, W,
% 0.79/1.21 V0, V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( T, Z, X ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'( X
% 0.79/1.21 ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Suc'(
% 0.79/1.21 X ) ), Z ) ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.79/1.21 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.79/1.21 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), T ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Z, hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ) ), W ), X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), W ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Z, hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ) ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_Power_Opower__class_Opower'( Y
% 0.79/1.21 , Z, X ) ), 'c_Power_Opower__class_Opower'( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.79/1.21 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.79/1.21 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ), Y )
% 0.79/1.21 ) ],
% 0.79/1.21 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 Y, X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.79/1.21 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.79/1.21 ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.79/1.21 T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.79/1.21 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X ) ), =( U,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.21 X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.21 X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), 'c_HOL_Oone__class_Oone'( X
% 0.79/1.21 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.79/1.21 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), T ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), T ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), T ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), T ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.79/1.21 , X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 hAPP( hAPP( V1, hAPP( hAPP( U, V3 ), V4 ) ), V4 ), V3 ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 V3, hAPP( hAPP( U, hAPP( hAPP( V1, V3 ), V4 ) ), V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( U, Z ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1,
% 0.79/1.21 V2, X, V3, V4, U, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.79/1.21 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1, V2
% 0.79/1.21 , X, V3, V4, U, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, V0, V1, X, V2, V3, V4, Y, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, V0, V1, X, V2, V3, V4, Z, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, V0, V1, X, Z, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( W, V0, V1, X, Y, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Z, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.79/1.21 , X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.79/1.21 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.79/1.21 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP(
% 0.79/1.21 T, Y ), Z ) ), U ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( T
% 0.79/1.21 , W, U, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( Y,
% 0.79/1.21 W, U, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Y, T, W,
% 0.79/1.21 V0, X, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 0.79/1.21 ) ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Y, W
% 0.79/1.21 , V0, X, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Z, Y, W,
% 0.79/1.21 V0, X, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Z ), hAPP(
% 0.79/1.21 T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Z, W,
% 0.79/1.21 V0, X, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U,
% 0.79/1.21 Y, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 0.79/1.21 ) ), hAPP( T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 0.79/1.21 U, T, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP(
% 0.79/1.21 T, Y ), Z ) ), U ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( T
% 0.79/1.21 , W, U, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( Y,
% 0.79/1.21 W, U, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Y, T, W,
% 0.79/1.21 X, V0, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 0.79/1.21 ) ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Y, W
% 0.79/1.21 , X, V0, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Z, Y, W,
% 0.79/1.21 X, V0, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Z ), hAPP(
% 0.79/1.21 T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Z, W,
% 0.79/1.21 X, V0, V1 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Y, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Y, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Z, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Z, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 0.79/1.21 ) ), hAPP( T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 0.79/1.21 U, T, W, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U,
% 0.79/1.21 Y, W, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Y, W, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Y, W, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Z, V0, V1, W, V2, X, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Y, V2, X, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Z, W, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 0.79/1.21 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 0.79/1.21 , Z, W, V0, X, V1, V2 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Y, V0, V1, W, V2, X, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Z, V2, X, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Z, V0, V1, W, X, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Y, X, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Y, V0, V1, W, X, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Z, X, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 0.79/1.21 =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), V2 ), V3 ), V3, X ), V2 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 0.79/1.21 =( V2, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), V2 ), V3 ), V3, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( W, V0, V1, Z, X, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( W, V0, V1, Y, X, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, V1
% 0.79/1.21 , X, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.79/1.21 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Oring'( X, W, V0, U,
% 0.79/1.21 V1, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( U, Z ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( X, W, V0, U,
% 0.79/1.21 V1, V2 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( V0, hAPP( hAPP(
% 0.79/1.21 X, hAPP( hAPP( T, V0 ), V1 ) ), V1 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( T
% 0.79/1.21 , hAPP( hAPP( X, V0 ), V1 ) ), V1 ), V0 ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( X
% 0.79/1.21 , hAPP( hAPP( T, V0 ), V1 ) ), V1 ), V0 ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( V0, hAPP( hAPP(
% 0.79/1.21 T, hAPP( hAPP( X, V0 ), V1 ) ), V1 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Oring'( Y, W, V0, X,
% 0.79/1.21 V1, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Oring'( Z, W, V0, X,
% 0.79/1.21 V1, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, Y, W, X, V0, V1 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, Z, W, X, V0, V1 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.21 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, X,
% 0.79/1.21 V1, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( T, U, W, X, V0, V1 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, X,
% 0.79/1.21 V1, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( Z, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( X, Z ), hAPP( Y, T
% 0.79/1.21 ) ) ), ~( 'c_Ring__and__Field_Oring'( U, Y, W, V0, X, V1 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( Y, W, V0, V1, X, V2 ) ) ],
% 0.79/1.21 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), hAPP( X, T
% 0.79/1.21 ) ) ), ~( 'c_Ring__and__Field_Oring'( U, X, W, V0, Y, V1 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.21 T ) ), ~( 'c_Ring__and__Field_Oring'( U, Y, W, V0, X, V1 ) ) ],
% 0.79/1.21 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ),
% 0.79/1.21 T ) ), ~( 'c_Ring__and__Field_Oring'( U, X, W, V0, Y, V1 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( T
% 0.79/1.21 , hAPP( hAPP( U, V0 ), V1 ) ), hAPP( hAPP( T, hAPP( hAPP( U, hAPP( hAPP(
% 0.79/1.21 X, V2 ), V0 ) ), V1 ) ), V3 ) ), hAPP( hAPP( T, hAPP( hAPP( U, V2 ), V1 )
% 0.79/1.21 ), V3 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( T
% 0.79/1.21 , hAPP( hAPP( U, V0 ), V1 ) ), V2 ), hAPP( hAPP( T, hAPP( hAPP( U, V3 ),
% 0.79/1.21 V1 ) ), hAPP( hAPP( T, hAPP( hAPP( U, hAPP( hAPP( X, V0 ), V3 ) ), V1 ) )
% 0.79/1.21 , V2 ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odvd'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 'c_List_Osko__Presburger__Xunity__coeff__ex__1__1'( Z, Y, X ) ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), X ), ~( hBOOL( hAPP( Z, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.79/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.79/1.21 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.79/1.21 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.79/1.21 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 0.79/1.21 ~( 'c_Lim_OisUCont'( Z, X, Y ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.79/1.21 , T, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.79/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.79/1.21 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.21 X ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Z ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.79/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.21 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ),
% 0.79/1.21 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.21 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.21 X ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ),
% 0.79/1.21 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z,
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( T, U, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 hAPP( Z, T ), hAPP( Z, U ), Y ) ), ~( 'c_RealVector_Oadditive'( Z, X, Y )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.79/1.21 'c_RealVector_Oadditive'( 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 0.79/1.21 X, X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ) ), X ), Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ) ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.21 ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Z, X ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z
% 0.79/1.21 , T, X ) ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), T, X ) ), =( T,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X )
% 0.79/1.21 , Y ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ) ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), X ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.21 X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 Y, Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.21 X ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.21 X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.79/1.21 , X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.79/1.21 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Z ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.21 X ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.79/1.21 , T, X ), X ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, V0, X, V1, V2, Z, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Y, V0, X, V1, V2, W, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, V0, X, V1, V2, Y, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Z, V0, X, V1, V2, W, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, X, V2, Z, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Y, V0, V1, X, V2, W, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, X, V2, Y, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Z, V0, V1, X, V2, W, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( T, U )
% 0.79/1.21 , W ) ), V0 ) ), V1 ) ), V2 ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y,
% 0.79/1.21 hAPP( hAPP( Z, U ), V0 ) ), V1 ) ), hAPP( hAPP( Y, hAPP( hAPP( Z, W ), V0
% 0.79/1.21 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, X, V4,
% 0.79/1.21 Z, T, V5, V6 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 0.79/1.21 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, T ), V0 ) ), U ) )
% 0.79/1.21 , W ) ), V1 ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, X, V4
% 0.79/1.21 , Z, V2, V5, V6 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP( U
% 0.79/1.21 , W ), V0 ) ), V1 ) ), V2 ) ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Z,
% 0.79/1.21 hAPP( hAPP( T, V0 ), V1 ) ), Y ) ), hAPP( hAPP( Z, hAPP( hAPP( T, W ), V1
% 0.79/1.21 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Z, V3, X, V4,
% 0.79/1.21 T, U, V5, V6 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 0.79/1.21 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, W ), hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, V0 ), T ) ),
% 0.79/1.21 U ) ), V1 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, X, V4
% 0.79/1.21 , Z, V2, V5, V6 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( T, U )
% 0.79/1.21 , W ) ), V0 ) ), V1 ) ), V2 ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y,
% 0.79/1.21 hAPP( hAPP( Z, U ), V0 ) ), V1 ) ), hAPP( hAPP( Y, hAPP( hAPP( Z, W ), V0
% 0.79/1.21 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, V4, X,
% 0.79/1.21 Z, T, V5, V6 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 0.79/1.21 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, T ), V0 ) ), U ) )
% 0.79/1.21 , W ) ), V1 ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, V4, X
% 0.79/1.21 , Z, V2, V5, V6 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP( U
% 0.79/1.21 , W ), V0 ) ), V1 ) ), V2 ) ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Z,
% 0.79/1.21 hAPP( hAPP( T, V0 ), V1 ) ), Y ) ), hAPP( hAPP( Z, hAPP( hAPP( T, W ), V1
% 0.79/1.21 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Z, V3, V4, X,
% 0.79/1.21 T, U, V5, V6 ) ) ],
% 0.79/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 0.79/1.21 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 0.79/1.21 hAPP( X, W ), hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, V0 ), T ) ),
% 0.79/1.21 U ) ), V1 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, V4, X
% 0.79/1.21 , Z, V2, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.21 X ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 V3, 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), V3 ), V4 ), V4, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , V3 ), V4 ), V4, X ), V3 ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.79/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.21 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.79/1.21 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.21 X ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.79/1.21 'c_Finite__Set_Ofun__left__comm'( 'c_HOL_Oplus__class_Oplus'( X ), X, X )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.79/1.21 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.21 ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.21 ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.79/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), =( hAPP( Z, hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( T, X ), U ) ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( T, Y ), hAPP( Z, U ) ) ), ~(
% 0.79/1.21 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), T, X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), W, X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 Z, U, X ), W, X ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, T, X )
% 0.79/1.21 , W, X ) ), U ) ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.79/1.21 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 V3, V4, X ) ), V4 ), V3 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 0.79/1.21 V3, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( V3, V4, X ) ), V4 ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Lim_OisCont'(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z, X, X ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.79/1.21 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( V1, V2, X
% 0.79/1.21 ) ), V2 ), V1 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =( V1, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( V1, V2, X
% 0.79/1.21 ) ), V2 ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X
% 0.79/1.21 ) ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.79/1.21 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) ) ), ~(
% 0.79/1.21 'c_RealVector_Oadditive'( Z, X, Y ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.21 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Finite__Set_Ofun__left__comm'( X, U, W
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.21 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.79/1.21 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.79/1.21 ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 ), Z ), Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.79/1.21 , T, X ), 'c_Power_Opower__class_Opower'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Power_Opower__class_Opower'( Y
% 0.79/1.21 , Z, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( Y, Z,
% 0.79/1.21 X ) ), Y ) ) ],
% 0.79/1.21 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.79/1.21 'c_Suc'( Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Power_Opower__class_Opower'( Y
% 0.79/1.21 , Z, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 0.79/1.21 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.79/1.21 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.79/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.79/1.21 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 0.79/1.21 , X ) ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 0.79/1.21 ), Z ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =( V4,
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 V4, V5, X ) ), V5 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( V4,
% 0.79/1.21 V5, X ) ), V5 ), V4 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.79/1.21 , T, X ) ) ), =( Z, T ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.79/1.21 , T, X ) ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.21 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 Y, Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X
% 0.79/1.21 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.79/1.21 ) ), U ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.79/1.21 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.79/1.21 , X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.79/1.21 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'( Z, T, X
% 0.79/1.21 , Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'( Y, hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ), X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ), X ), X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.21 Y, U, X ), X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'(
% 0.79/1.21 Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 'tc_nat' ), 'c_Suc'( Z ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 'tc_nat' ), 'c_Suc'( Z ) ), Y ), 'tc_nat' ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 'tc_nat' ), 'c_Suc'( X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 'tc_nat' ), 'c_Suc'( X ) ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, Z, 'tc_nat' ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.79/1.21 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.79/1.21 ) ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, X, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, X, V0, V1, V2 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.21 hAPP( hAPP( X, Y ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, X, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, Z, W, X, V0, V1, V2 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( U, Y, W, X, V0, V1, V2 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), U ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 0.79/1.21 Z, W, V0, X, V1, V2, V3 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), T ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 0.79/1.21 Y, W, V0, X, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 0.79/1.21 ), =( V1, hAPP( hAPP( T, hAPP( hAPP( X, V1 ), V2 ) ), V2 ) ) ],
% 0.79/1.21 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 0.79/1.21 ), =( hAPP( hAPP( X, hAPP( hAPP( T, V1 ), V2 ) ), V2 ), V1 ) ],
% 0.79/1.21 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 0.79/1.21 ), =( hAPP( hAPP( T, hAPP( hAPP( X, V1 ), V2 ) ), V2 ), V1 ) ],
% 0.79/1.21 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 0.79/1.21 ), =( V1, hAPP( hAPP( X, hAPP( hAPP( T, V1 ), V2 ) ), V2 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( U, Z ), T ) ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( X, W, V0, U, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.79/1.21 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 0.79/1.21 X, W, V0, U, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.79/1.21 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.79/1.21 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 0.79/1.21 ) ), Z ) ), T ), W ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( U, Y, X
% 0.79/1.21 ) ), Z ) ), W ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.79/1.21 , X ), 'c_HOL_Ominus__class_Ominus'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.79/1.21 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, V2, X, Y, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, V2, X, Z, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 0.79/1.21 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U, W
% 0.79/1.21 , V0, V1, V2, X, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( U, Z ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U,
% 0.79/1.21 W, V0, V1, V2, X, V3, V4 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 0.79/1.21 , =( V2, hAPP( hAPP( W, hAPP( hAPP( X, V2 ), V3 ) ), V3 ) ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 0.79/1.21 , =( hAPP( hAPP( X, hAPP( hAPP( W, V2 ), V3 ) ), V3 ), V2 ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 0.79/1.21 , =( hAPP( hAPP( W, hAPP( hAPP( X, V2 ), V3 ) ), V3 ), V2 ) ],
% 0.79/1.21 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 0.79/1.21 , =( V2, hAPP( hAPP( X, hAPP( hAPP( W, V2 ), V3 ) ), V3 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X, W
% 0.79/1.21 , V0, V1, V2, Y, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X, W
% 0.79/1.21 , V0, V1, V2, Z, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( X, W, V0, V1, V2, U, Y, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( X, W, V0, V1, V2, U, Z, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.21 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Z, W, V0, V1, X, V2, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.21 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( Y, W, V0, V1, X, V2, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U,
% 0.79/1.21 W, V0, V1, X, V2, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.21 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X,
% 0.79/1.21 U, W, V0, V1, V2, V3, V4 ) ) ],
% 0.79/1.21 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( X, T, U, W, V0, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.79/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X,
% 0.79/1.21 U, W, V0, V1, V2, V3, V4 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.79/1.21 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.79/1.21 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.79/1.21 X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.79/1.21 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.79/1.21 , 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.79/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), T ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.79/1.21 Y ) ) ],
% 0.79/1.21 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.79/1.21 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), T ) ), U ), W, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, U, X ) ), Z ) ), T ), W, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), U ) ), W ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( U, Y, X ) ), Z ) ), W ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ), Y ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.79/1.21 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ) ) ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_Power_Opower__class_Opower'( Y
% 0.79/1.21 , Z, X ) ), 'c_Power_Opower__class_Opower'( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), Z, X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.79/1.21 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.79/1.21 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.79/1.21 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.79/1.21 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.79/1.21 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 , X ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.21 ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X ) ), =( U,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.79/1.21 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.79/1.21 , X ) ), Z ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.79/1.21 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.79/1.21 ) ), Z ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.21 Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.21 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.79/1.21 ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.79/1.21 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.21 , Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.21 , Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Z ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.21 X ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), ~(
% 0.79/1.21 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.21 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.79/1.21 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.79/1.21 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.79/1.21 X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.79/1.21 T, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.21 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.21 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.79/1.21 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =( V1,
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , V1 ), V2 ), V2, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , V1 ), V2 ), V2, X ), V1 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.79/1.21 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 0.79/1.21 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y, hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X, X ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.79/1.21 T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.79/1.21 ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), hAPP(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 0.79/1.21 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( X,
% 0.79/1.21 hAPP( hAPP( Y, W ), T ) ), V0 ) ) ), ~( 'c_Ring__and__Field_Oring'( V1,
% 0.79/1.21 V2, V3, X, Y, V4 ) ), =( U, hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( V1
% 0.79/1.21 , W ), Z ) ), T ) ), V0 ) ) ],
% 0.79/1.21 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( X,
% 0.79/1.21 hAPP( hAPP( Y, W ), T ) ), V0 ) ) ), ~( 'c_Ring__and__Field_Oring'( V1,
% 0.79/1.21 V2, V3, X, Y, V4 ) ), =( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( V1, Z
% 0.79/1.21 ), W ) ), T ) ), U ), V0 ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , V4 ), V5 ), V5, X ), V4 ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =( V4,
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , V4 ), V5 ), V5, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y,
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 0.79/1.21 ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 0.79/1.21 ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ) ), =( Z, W )
% 0.79/1.21 , =( U, W ), ~( 'c_Ring__and__Field_Ofield'( V0, V1, V2, X, V3, V4, W, V5
% 0.79/1.21 , V6 ) ), =( hAPP( hAPP( V1, Y ), U ), hAPP( hAPP( V1, T ), Z ) ) ],
% 0.79/1.21 [ ~( =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ) ), =( U, W )
% 0.79/1.21 , =( Z, W ), ~( 'c_Ring__and__Field_Ofield'( V0, X, V1, V2, V3, V4, W, V5
% 0.79/1.21 , V6 ) ), =( hAPP( hAPP( V2, Y ), U ), hAPP( hAPP( V2, T ), Z ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.79/1.21 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 0.79/1.21 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 0.79/1.21 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.21 Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.21 Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.21 Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.21 Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.21 Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.21 Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.79/1.21 Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Y ), Z ), Z, X ), Y ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Z, T, X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.21 ), Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.21 ) ) ],
% 0.79/1.21 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.21 ), Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.79/1.21 ), Y ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.79/1.21 ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.79/1.21 , X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.79/1.21 X ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.79/1.21 , Z ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.21 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.79/1.21 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.21 , X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 0.79/1.21 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 0.79/1.21 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.21 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 0.79/1.21 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.79/1.21 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ),
% 0.79/1.21 'c_HOL_Oabs__class_Oabs'( Y, X ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.79/1.21 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.79/1.21 ) ) ), =( Z, U ), =( Y, T ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( Y, Z,
% 0.79/1.21 X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ) ],
% 0.79/1.21 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.21 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.21 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 0.79/1.21 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.21 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.21 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), T ), Z, X ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2
% 0.79/1.21 , V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.21 ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( T, Z, X ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.79/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.21 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.79/1.21 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 0.79/1.21 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.21 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Lim_OisUCont'(
% 0.79/1.21 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), X, X ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.79/1.21 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.21 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.79/1.21 ), Y, X ) ), =( Z, T ) ],
% 0.79/1.21 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.79/1.21 ,
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Power_Opower__class_Opower'( Y
% 0.79/1.21 , Z, X ) ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( Y, Z,
% 0.79/1.21 X ) ), Y ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.79/1.21 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.79/1.21 ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4,
% 0.79/1.21 V5 ) ) ],
% 0.79/1.21 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.21 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.21 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.21 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~(
% 0.79/1.21 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.79/1.22 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.22 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.22 Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.79/1.22 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.79/1.22 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP(
% 0.79/1.22 Z, T ), X, Y ), ~( 'c_RealVector_Obounded__linear'( Z, X, Y ) ) ],
% 0.79/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.22 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.79/1.22 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.79/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.79/1.22 ) ],
% 0.79/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.79/1.22 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.22 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.79/1.22 X ), T, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.22 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.79/1.22 X ), T, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.79/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.22 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.79/1.22 X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.79/1.22 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.79/1.22 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.79/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.79/1.22 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ), X
% 0.79/1.22 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.22 Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.79/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.22 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.22 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.79/1.22 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.79/1.22 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.22 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.79/1.22 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.22 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, Y ), Y ), Z ), =( Y, T ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( U, X, Z, W, V0, V1, T, V2, V3 ) ) ],
% 0.79/1.22 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 0.79/1.22 V3 ) ), =( hAPP( hAPP( T, hAPP( hAPP( W, V4 ), X ) ), X ), V4 ) ],
% 0.79/1.22 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 0.79/1.22 V3 ) ), =( V4, hAPP( hAPP( T, hAPP( hAPP( W, V4 ), X ) ), X ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), =( Z, U ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( Y, W, T, X, V0, V1, U, V2, V3 ) ) ],
% 0.79/1.22 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, hAPP( hAPP( T, U ), X
% 0.79/1.22 ), W, V0, V1, Y, V2, V3 ) ), =( U, X ) ],
% 0.79/1.22 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 0.79/1.22 V3 ) ), =( hAPP( hAPP( T, X ), X ), U ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.22 hAPP( X, hAPP( hAPP( W, U ), Y ) ), T ) ), U ) ), =( U, V0 ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( V1, Z, V2, W, V3, V4, V0, X, V5 ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.22 hAPP( X, Z ), hAPP( hAPP( W, T ), U ) ) ), T ) ), =( T, V0 ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( V1, Y, V2, W, V3, V4, V0, X, V5 ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 0.79/1.22 hAPP( X, hAPP( hAPP( W, U ), Y ) ), T ) ), U ) ), =( U, V0 ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( V1, Z, V2, W, X, V3, V0, V4, V5 ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 0.79/1.22 hAPP( X, Z ), hAPP( hAPP( W, T ), U ) ) ), T ) ), =( T, V0 ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( V1, Y, V2, W, X, V3, V0, V4, V5 ) ) ],
% 0.79/1.22 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 0.79/1.22 V3 ) ), =( V4, hAPP( hAPP( W, hAPP( hAPP( T, V4 ), X ) ), X ) ) ],
% 0.79/1.22 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 0.79/1.22 V3 ) ), =( hAPP( hAPP( W, hAPP( hAPP( T, V4 ), X ) ), X ), V4 ) ],
% 0.79/1.22 [ =( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), =( Y, U ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( X, Z, T, W, V0, V1, U, V2, V3 ) ) ],
% 0.79/1.22 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), hAPP( X, T
% 0.79/1.22 ) ) ), =( T, U ), ~( 'c_Ring__and__Field_Ofield'( W, Y, V0, V1, V2, X, U
% 0.79/1.22 , V3, V4 ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ), hAPP( hAPP( X, Z ),
% 0.79/1.22 T ) ), =( T, U ), ~( 'c_Ring__and__Field_Ofield'( W, X, V0, V1, V2, Y, U
% 0.79/1.22 , V3, V4 ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), T ), =( Z, U ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( W, X, V0, Y, V1, V2, U, V3, V4 ) ) ],
% 0.79/1.22 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), Z ), =( T, U ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( W, X, V0, Y, V1, V2, U, V3, V4 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 0.79/1.22 ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.79/1.22 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 0.79/1.22 ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.79/1.22 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 0.79/1.22 ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 0.79/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.22 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.22 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.22 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.22 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.22 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z,
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( T, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.22 hAPP( Z, T ), Y ) ), ~( 'c_RealVector_Oadditive'( Z, X, Y ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 0.79/1.22 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.79/1.22 'c_RealVector_Oadditive'( Z, Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.79/1.22 X ) ), hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Z, X ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.79/1.22 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X )
% 0.79/1.22 , Y ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.22 X ), Y ) ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ), hAPP(
% 0.79/1.22 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.22 ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( T, X ), Z ) ) ), =( Z,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.22 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.79/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.22 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 0.79/1.22 ), =( 'c_HOL_Oinverse__class_Odivide'( Y, U, X ),
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.79/1.22 'c_Power_Opower__class_Opower'( Y, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ), X ),
% 0.79/1.22 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.79/1.22 , T, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.79/1.22 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.79/1.22 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.79/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.79/1.22 ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.79/1.22 'c_HOL_Ominus__class_Ominus'( T, Z, X ), X ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X
% 0.79/1.22 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.22 X ), Y ), T ), Z, X ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2
% 0.79/1.22 , V3 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.79/1.22 ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.79/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.79/1.22 ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y, X ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.79/1.22 'c_RealVector_Obounded__linear'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.79/1.22 , X ), X, X ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.79/1.22 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.22 Y, X ) ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.79/1.22 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.79/1.22 Z, X ) ) ) ],
% 0.79/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.79/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.79/1.22 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 ) ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.79/1.22 'c_OrderedGroup_Oab__semigroup__mult__axioms'(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), X ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 0.79/1.22 'c_Finite__Set_Ofun__left__comm'( 'c_HOL_Otimes__class_Otimes'( X ), X, X
% 0.79/1.22 ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), T ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), T ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), T ), hAPP(
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 0.79/1.22 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 0.79/1.22 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.79/1.22 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.79/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.79/1.22 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.22 ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.22 ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.79/1.22 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.79/1.22 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.22 ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.79/1.22 ), Z ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 0.79/1.22 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.79/1.22 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.79/1.22 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.22 'c_Power_Opower__class_Opower'( Y, T, X ) ),
% 0.79/1.22 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.79/1.22 'c_Power_Opower__class_Opower'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.22 'c_Power_Opower__class_Opower'( Y, T, X ) ),
% 0.79/1.22 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.79/1.22 'c_RealVector_Obounded__linear'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.22 , Y ), X, X ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.79/1.22 'c_RealVector_Oadditive'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X
% 0.79/1.22 , X ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), Z, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), ~(
% 0.79/1.22 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3 ) ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.79/1.22 , X ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), X
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.22 Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( Y, X ) ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 0.79/1.22 ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisUCont'(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), X, X ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.79/1.22 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.22 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.79/1.22 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y,
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 0.79/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.22 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.22 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 0.79/1.22 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.22 ), Y ), T ), Z, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.22 Y ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.79/1.22 Y ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.79/1.22 Y ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.79/1.22 Y ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.79/1.22 Y ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 0.79/1.22 Y ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~(
% 0.79/1.22 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.22 ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 0.79/1.22 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 0.79/1.22 ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.22 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.79/1.22 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odvd'( X ) ), hBOOL( hAPP( Y,
% 0.79/1.22 'c_List_Osko__Presburger__Xunity__coeff__ex__1__1'( Y, Z, X ) ) ), ~(
% 0.79/1.22 hBOOL( hAPP( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) )
% 0.79/1.22 ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), ~(
% 0.79/1.22 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 0.79/1.22 ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.79/1.22 T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ominus__class_Ominus'( Z,
% 0.79/1.22 T, X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.79/1.22 ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.79/1.22 ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 0.79/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.22 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.22 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 0.79/1.22 T, X ) ), T, X ) ) ],
% 0.79/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.79/1.22 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 0.79/1.22 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 0.79/1.22 ) ), Z ), T, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.79/1.22 , X ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ),
% 0.79/1.22 'c_Finite__Set_Ofun__left__comm__idem'( 'c_HOL_Otimes__class_Otimes'( X )
% 0.79/1.22 , X, X ) ],
% 0.79/1.22 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.79/1.22 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 0.79/1.22 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oring__1'( 't_a' ) ), =(
% 0.79/1.22 'c_Transcendental_Odiffs'( 'v_c', 'v_n', 't_a' ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( 't_a' ),
% 0.79/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( 'v_n' ), 't_a' ) ), hAPP(
% 0.79/1.22 'v_c', 'c_Suc'( 'v_n' ) ) ) ) ],
% 0.79/1.22 [ =( 'c_Complex_Ocnj'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 'tc_Complex_Ocomplex' ), X ), Y ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_Complex_Ocnj'(
% 0.79/1.22 X ) ), 'c_Complex_Ocnj'( Y ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.79/1.22 'c_Transcendental_Odiffs'( Y, 'v_n', X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.79/1.22 'c_Suc'( 'v_n' ), X ) ), hAPP( Y, 'c_Suc'( 'v_n' ) ) ) ) ],
% 0.79/1.22 [ =( 'c_Complex_Ocnj'( 'c_Nat_Osemiring__1__class_Oof__nat'( X,
% 0.79/1.22 'tc_Complex_Ocomplex' ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( X,
% 0.79/1.22 'tc_Complex_Ocomplex' ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.79/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.79/1.22 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 0.79/1.22 [ 'c_HOL_Oord__class_Oless'( 'v_i', 'v_n', 'tc_nat' ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 0.79/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 0.79/1.22 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 0.79/1.22 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.79/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.79/1.22 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.79/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 0.79/1.22 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 0.79/1.22 [ ~( =( 'c_FFT__Mirabelle_OIDFT'( 'v_n', 'c_FFT__Mirabelle_ODFT'( 'v_n'
% 0.79/1.22 , 'v_a' ), 'v_i' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 0.79/1.22 'tc_Complex_Ocomplex' ), 'c_Nat_Osemiring__1__class_Oof__nat'( 'v_n',
% 0.79/1.22 'tc_Complex_Ocomplex' ) ), hAPP( 'v_a', 'v_i' ) ) ) ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.79/1.22 ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.79/1.22 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.79/1.22 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.79/1.22 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.79/1.22 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.79/1.22 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.79/1.22 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.79/1.22 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.79/1.22 ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.79/1.22 ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.79/1.22 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.79/1.22 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.79/1.22 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.79/1.22 ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.79/1.22 ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.79/1.22 ,
% 0.79/1.22 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.79/1.22 [ 'c_fequal'( X, X, Y ) ],
% 0.79/1.22 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.79/1.22 ] .
% 0.79/1.22
% 0.79/1.22
% 0.79/1.22 percentage equality = 0.271564, percentage horn = 0.881466
% 0.79/1.22 This is a problem with some equality
% 0.79/1.22
% 0.79/1.22
% 0.79/1.22
% 0.79/1.22 Options Used:
% 0.79/1.22
% 0.79/1.22 useres = 1
% 0.79/1.22 useparamod = 1
% 0.79/1.22 useeqrefl = 1
% 0.79/1.22 useeqfact = 1
% 0.79/1.22 usefactor = 1
% 0.79/1.22 usesimpsplitting = 0
% 0.79/1.22 usesimpdemod = 5
% 0.79/1.22 usesimpres = 3
% 0.79/1.22
% 0.79/1.22 resimpinuse = 1000
% 0.79/1.22 resimpclauses = 20000
% 0.79/1.22 substype = eqrewr
% 0.79/1.22 backwardsubs = 1
% 0.79/1.22 selectoldest = 5
% 0.79/1.22
% 0.79/1.22 litorderings [0] = split
% 0.79/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.22
% 0.79/1.22 termordering = kbo
% 0.79/1.22
% 0.79/1.22 litapriori = 0
% 0.79/1.22 termapriori = 1
% 0.79/1.22 litaposteriori = 0
% 0.79/1.22 termaposteriori = 0
% 0.79/1.22 demodaposteriori = 0
% 0.79/1.22 ordereqreflfact = 0
% 0.79/1.22
% 0.79/1.22 litselect = negord
% 0.79/1.22
% 0.79/1.22 maxweight = 15
% 0.79/1.22 maxdepth = 30000
% 0.79/1.22 maxlength = 115
% 0.79/1.22 maxnrvars = 195
% 0.79/1.22 excuselevel = 1
% 0.79/1.22 increasemaxweight = 1
% 0.79/1.22
% 0.79/1.22 maxselected = 10000000
% 0.79/1.22 maxnrclauses = 10000000
% 0.79/1.22
% 0.79/1.22 showgenerated = 0
% 0.79/1.22 showkept = 0
% 0.79/1.22 showselected = 0
% 0.79/1.22 showdeleted = 0
% 0.79/1.22 showresimp = 1
% 0.79/1.22 showstatus = 2000
% 0.79/1.22
% 0.79/1.22 prologoutput = 1
% 0.79/1.22 nrgoals = 5000000
% 0.79/1.22 totalproof = 1
% 0.79/1.22
% 0.79/1.22 Symbols occurring in the translation:
% 0.79/1.22
% 0.79/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.22 . [1, 2] (w:1, o:151, a:1, s:1, b:0),
% 0.79/1.22 ! [4, 1] (w:0, o:72, a:1, s:1, b:0),
% 0.79/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.22 'tc_nat' [41, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.79/1.22 'c_HOL_Oord__class_Oless' [42, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.79/1.22 'c_HOL_Otimes__class_Otimes' [43, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.79/1.22 hAPP [44, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.79/1.22 'class_OrderedGroup_Oab__group__add' [47, 1] (w:1, o:79, a:1, s:1, b:
% 0.79/1.22 0),
% 0.79/1.22 'c_HOL_Oplus__class_Oplus' [48, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.79/1.22 'c_HOL_Ominus__class_Ominus' [52, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.79/1.22 'c_OrderedGroup_Opordered__ab__group__add' [60, 7] (w:1, o:202, a:1
% 0.79/1.22 , s:1, b:0),
% 0.79/1.22 'class_RealVector_Oreal__normed__vector' [61, 1] (w:1, o:82, a:1, s:1
% 0.79/1.22 , b:0),
% 0.79/1.22 'c_Lim_OisUCont' [63, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.79/1.22 'c_RealVector_Obounded__linear' [64, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.79/1.22
% 0.79/1.22 'c_Suc' [65, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.79/1.22 'class_Ring__and__Field_Oidom' [69, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.79/1.22 'c_HOL_Ozero__class_Ozero' [70, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.79/1.22 'c_Ring__and__Field_Odvd__class_Odvd' [71, 3] (w:1, o:188, a:1, s:1
% 0.79/1.22 , b:0),
% 0.79/1.22 'class_Ring__and__Field_Ocomm__semiring__1' [72, 1] (w:1, o:88, a:1
% 0.79/1.22 , s:1, b:0),
% 0.79/1.22 'class_RealVector_Oreal__vector' [73, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.79/1.22
% 0.79/1.22 'c_RealVector_OscaleR__class_OscaleR' [74, 2] (w:1, o:177, a:1, s:1
% 0.79/1.22 , b:0),
% 0.79/1.22 'class_OrderedGroup_Oab__semigroup__add' [77, 1] (w:1, o:90, a:1, s:1
% 0.79/1.22 , b:0),
% 0.79/1.22 'c_Ring__and__Field_Opordered__ring' [79, 8] (w:1, o:203, a:1, s:1
% 0.79/1.22 , b:0),
% 0.79/1.22 'class_Ring__and__Field_Oordered__idom' [80, 1] (w:1, o:93, a:1, s:1
% 0.79/1.22 , b:0),
% 0.79/1.22 'class_Orderings_Olinorder' [81, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.79/1.22 'class_RealVector_Ometric__space' [82, 1] (w:1, o:95, a:1, s:1, b:0)
% 0.79/1.22 ,
% 0.79/1.22 'class_RealVector_Oreal__normed__algebra__1' [83, 1] (w:1, o:96, a:1
% 0.79/1.22 , s:1, b:0),
% 0.79/1.22 'c_Lim_OLIM' [86, 5] (w:1, o:200, a:1, s:1, b:0),
% 0.79/1.22 'class_RealVector_Oreal__normed__field' [87, 1] (w:1, o:97, a:1, s:1
% 0.79/1.22 , b:0),
% 0.79/1.22 'c_Deriv_Oderiv' [90, 4] (w:1, o:198, a:1, s:1, b:0),
% 0.79/1.22 hBOOL [92, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.79/1.22 'class_Ring__and__Field_Oordered__semidom' [93, 1] (w:1, o:100, a:1
% 0.79/1.22 , s:1, b:0),
% 0.79/1.22 'c_HOL_Oone__class_Oone' [94, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.79/1.22 'c_Power_Opower__class_Opower' [95, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.79/1.22 'class_Ring__and__Field_Ofield' [96, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.79/1.22
% 0.79/1.22 'class_Ring__and__Field_Odivision__by__zero' [97, 1] (w:1, o:103, a:1
% 0.79/1.22 , s:1, b:0),
% 0.79/1.22 'c_HOL_Oinverse__class_Odivide' [98, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.79/1.22
% 0.79/1.22 'class_Lattices_Oboolean__algebra' [99, 1] (w:1, o:104, a:1, s:1, b:0
% 0.79/1.22 ),
% 0.79/1.22 'c_HOL_Ouminus__class_Ouminus' [100, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.79/1.22
% 0.79/1.22 'class_OrderedGroup_Ogroup__add' [101, 1] (w:1, o:105, a:1, s:1, b:0)
% 0.79/1.22 ,
% 0.79/1.22 'c_Ring__and__Field_Ofield' [105, 9] (w:1, o:204, a:1, s:1, b:0),
% 0.79/1.22 'class_Ring__and__Field_Oordered__field' [108, 1] (w:1, o:106, a:1
% 0.79/1.22 , s:1, b:0),
% 0.79/1.22 'c_HOL_Oinverse__class_Oinverse' [109, 1] (w:1, o:107, a:1, s:1, b:0)
% 0.79/1.22 ,
% 0.79/1.22 'class_Ring__and__Field_Ozero__neq__one' [110, 1] (w:1, o:108, a:1
% 0.79/1.22 , s:1, b:0),
% 0.79/1.22 'class_Ring__and__Field_Ono__zero__divisors' [111, 1] (w:1, o:92, a:1
% 0.79/1.22 , s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Omult__zero' [112, 1] (w:1, o:91, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'class_Power_Opower' [113, 1] (w:1, o:129, a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Oring__1__no__zero__divisors' [114, 1] (w:1
% 7.10/7.51 , o:130, a:1, s:1, b:0),
% 7.10/7.51 'c_HOL_Oabs__class_Oabs' [115, 2] (w:1, o:179, a:1, s:1, b:0),
% 7.10/7.51 'class_Divides_Osemiring__div' [116, 1] (w:1, o:132, a:1, s:1, b:0),
% 7.10/7.51
% 7.10/7.51 'c_Divides_Odiv__class_Omod' [117, 3] (w:1, o:191, a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Oordered__semiring__strict' [118, 1] (w:1, o:
% 7.10/7.51 133, a:1, s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Osemigroup__add' [119, 1] (w:1, o:109, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'c_Finite__Set_Ofun__left__comm__idem' [120, 3] (w:1, o:192, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'c_Lim_OisCont' [122, 4] (w:1, o:199, a:1, s:1, b:0),
% 7.10/7.51 'class_Int_Onumber__ring' [123, 1] (w:1, o:134, a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Oordered__ring__strict' [126, 1] (w:1, o:99
% 7.10/7.51 , a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Odivision__ring' [127, 1] (w:1, o:135, a:1
% 7.10/7.51 , s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Osemiring' [128, 1] (w:1, o:139, a:1, s:1, b:
% 7.10/7.51 0),
% 7.10/7.51 'c_Ring__and__Field_Oring' [129, 6] (w:1, o:201, a:1, s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Opordered__ab__group__add' [130, 1] (w:1, o:111
% 7.10/7.51 , a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Odvd' [133, 1] (w:1, o:140, a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Ocomm__ring' [134, 1] (w:1, o:86, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'class_OrderedGroup_Olordered__ab__group__add' [136, 1] (w:1, o:112
% 7.10/7.51 , a:1, s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Opordered__ab__group__add__abs' [137, 1] (w:1, o:
% 7.10/7.51 113, a:1, s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Oordered__ab__group__add' [138, 1] (w:1, o:110
% 7.10/7.51 , a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Oring' [139, 1] (w:1, o:136, a:1, s:1, b:0),
% 7.10/7.51
% 7.10/7.51 'class_Ring__and__Field_Osemiring__0' [142, 1] (w:1, o:141, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'c_List_Osko__Presburger__Xunity__coeff__ex__1__1' [144, 3] (w:1, o:
% 7.10/7.51 193, a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Ocomm__ring__1' [146, 1] (w:1, o:87, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'class_Ring__and__Field_Oabs__if' [147, 1] (w:1, o:142, a:1, s:1, b:0
% 7.10/7.51 ),
% 7.10/7.51 'class_OrderedGroup_Olordered__ab__group__add__abs' [148, 1] (w:1, o:
% 7.10/7.51 114, a:1, s:1, b:0),
% 7.10/7.51 'class_Divides_Oring__div' [149, 1] (w:1, o:131, a:1, s:1, b:0),
% 7.10/7.51 'c_RealVector_Oadditive' [150, 3] (w:1, o:186, a:1, s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Ocancel__ab__semigroup__add' [151, 1] (w:1, o:115
% 7.10/7.51 , a:1, s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Ocancel__semigroup__add' [152, 1] (w:1, o:116, a:
% 7.10/7.51 1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Osemiring__1' [153, 1] (w:1, o:143, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'c_Nat_Osemiring__1__class_Oof__nat' [154, 2] (w:1, o:180, a:1, s:1
% 7.10/7.51 , b:0),
% 7.10/7.51 'class_OrderedGroup_Omonoid__mult' [155, 1] (w:1, o:117, a:1, s:1, b:
% 7.10/7.51 0),
% 7.10/7.51 'class_OrderedGroup_Ocomm__monoid__add' [157, 1] (w:1, o:118, a:1, s:
% 7.10/7.51 1, b:0),
% 7.10/7.51 'c_Finite__Set_Ofun__left__comm' [158, 3] (w:1, o:194, a:1, s:1, b:0)
% 7.10/7.51 ,
% 7.10/7.51 'class_RealVector_Oreal__field' [159, 1] (w:1, o:144, a:1, s:1, b:0)
% 7.10/7.51 ,
% 7.10/7.51 'class_Orderings_Oorder' [162, 1] (w:1, o:119, a:1, s:1, b:0),
% 7.10/7.51 'class_Orderings_Opreorder' [163, 1] (w:1, o:120, a:1, s:1, b:0),
% 7.10/7.51 'class_RealVector_Oreal__normed__algebra' [164, 1] (w:1, o:145, a:1
% 7.10/7.51 , s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Opordered__comm__monoid__add' [165, 1] (w:1, o:
% 7.10/7.51 121, a:1, s:1, b:0),
% 7.10/7.51 'c_Complex_Ocnj' [167, 1] (w:1, o:146, a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Oring__1' [169, 1] (w:1, o:137, a:1, s:1, b:0
% 7.10/7.51 ),
% 7.10/7.51 'class_Ring__and__Field_Opordered__ring' [173, 1] (w:1, o:148, a:1
% 7.10/7.51 , s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [174, 1]
% 7.10/7.51 (w:1, o:122, a:1, s:1, b:0),
% 7.10/7.51 'class_RealVector_Oreal__normed__div__algebra' [175, 1] (w:1, o:149
% 7.10/7.51 , a:1, s:1, b:0),
% 7.10/7.51 'class_Ring__and__Field_Oordered__comm__semiring__strict' [176, 1]
% 7.10/7.51 (w:1, o:147, a:1, s:1, b:0),
% 7.10/7.51 'class_OrderedGroup_Omonoid__add' [177, 1] (w:1, o:123, a:1, s:1, b:0
% 7.10/7.51 ),
% 7.10/7.51 'class_OrderedGroup_Osemigroup__mult' [178, 1] (w:1, o:124, a:1, s:1
% 29.50/29.87 , b:0),
% 29.50/29.87 'class_OrderedGroup_Oab__semigroup__mult' [179, 1] (w:1, o:125, a:1
% 29.50/29.87 , s:1, b:0),
% 29.50/29.87 'class_Ring__and__Field_Oring__no__zero__divisors' [180, 1] (w:1, o:
% 29.50/29.87 138, a:1, s:1, b:0),
% 29.50/29.87 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [181, 1]
% 29.50/29.87 (w:1, o:126, a:1, s:1, b:0),
% 29.50/29.87 'c_OrderedGroup_Oab__semigroup__mult__axioms' [182, 2] (w:1, o:181
% 29.50/29.87 , a:1, s:1, b:0),
% 29.50/29.87 'class_RealVector_Oreal__algebra' [183, 1] (w:1, o:150, a:1, s:1, b:0
% 29.50/29.87 ),
% 29.50/29.87 'class_Ring__and__Field_Ocomm__semiring' [184, 1] (w:1, o:102, a:1
% 29.50/29.87 , s:1, b:0),
% 29.50/29.87 'class_OrderedGroup_Ocomm__monoid__mult' [185, 1] (w:1, o:127, a:1
% 29.50/29.87 , s:1, b:0),
% 29.50/29.87 'class_OrderedGroup_Oab__semigroup__idem__mult' [186, 1] (w:1, o:128
% 29.50/29.87 , a:1, s:1, b:0),
% 29.50/29.87 't_a' [187, 0] (w:1, o:61, a:1, s:1, b:0),
% 29.50/29.87 'v_c' [188, 0] (w:1, o:62, a:1, s:1, b:0),
% 29.50/29.87 'v_n' [189, 0] (w:1, o:63, a:1, s:1, b:0),
% 29.50/29.87 'c_Transcendental_Odiffs' [190, 3] (w:1, o:195, a:1, s:1, b:0),
% 29.50/29.87 'tc_Complex_Ocomplex' [191, 0] (w:1, o:64, a:1, s:1, b:0),
% 29.50/29.87 'v_i' [192, 0] (w:1, o:65, a:1, s:1, b:0),
% 29.50/29.87 'class_Nat_Osemiring__char__0' [197, 1] (w:1, o:78, a:1, s:1, b:0),
% 29.50/29.87 'v_a' [198, 0] (w:1, o:68, a:1, s:1, b:0),
% 29.50/29.87 'c_FFT__Mirabelle_ODFT' [199, 2] (w:1, o:182, a:1, s:1, b:0),
% 29.50/29.87 'c_FFT__Mirabelle_OIDFT' [200, 3] (w:1, o:196, a:1, s:1, b:0),
% 29.50/29.87 'tc_RealDef_Oreal' [201, 0] (w:1, o:69, a:1, s:1, b:0),
% 29.50/29.87 'c_fequal' [202, 3] (w:1, o:197, a:1, s:1, b:0).
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Starting Search:
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 4955
% 29.50/29.87 Kept: 2054
% 29.50/29.87 Inuse: 106
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 31896
% 29.50/29.87 Kept: 4864
% 29.50/29.87 Inuse: 131
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 70162
% 29.50/29.87 Kept: 6930
% 29.50/29.87 Inuse: 141
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 107853
% 29.50/29.87 Kept: 9012
% 29.50/29.87 Inuse: 156
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 128209
% 29.50/29.87 Kept: 11225
% 29.50/29.87 Inuse: 186
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 193372
% 29.50/29.87 Kept: 13400
% 29.50/29.87 Inuse: 191
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 237442
% 29.50/29.87 Kept: 15715
% 29.50/29.87 Inuse: 196
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 323070
% 29.50/29.87 Kept: 18186
% 29.50/29.87 Inuse: 201
% 29.50/29.87 Deleted: 0
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying clauses:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 349513
% 29.50/29.87 Kept: 20350
% 29.50/29.87 Inuse: 236
% 29.50/29.87 Deleted: 121
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 378723
% 29.50/29.87 Kept: 22972
% 29.50/29.87 Inuse: 256
% 29.50/29.87 Deleted: 121
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 393795
% 29.50/29.87 Kept: 25046
% 29.50/29.87 Inuse: 286
% 29.50/29.87 Deleted: 121
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 407241
% 29.50/29.87 Kept: 27269
% 29.50/29.87 Inuse: 326
% 29.50/29.87 Deleted: 121
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 417913
% 29.50/29.87 Kept: 29393
% 29.50/29.87 Inuse: 341
% 29.50/29.87 Deleted: 121
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 430154
% 29.50/29.87 Kept: 31499
% 29.50/29.87 Inuse: 361
% 29.50/29.87 Deleted: 121
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 465255
% 29.50/29.87 Kept: 34117
% 29.50/29.87 Inuse: 376
% 29.50/29.87 Deleted: 121
% 29.50/29.87 Deletedinuse: 0
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87 Resimplifying inuse:
% 29.50/29.87 Done
% 29.50/29.87
% 29.50/29.87
% 29.50/29.87 Intermediate Status:
% 29.50/29.87 Generated: 495442
% 29.50/29.87 Kept: 36118
% 29.50/29.87 Inuse: 397
% 29.50/29.87 Deleted: 121
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 511849
% 88.24/88.71 Kept: 38309
% 88.24/88.71 Inuse: 406
% 88.24/88.71 Deleted: 121
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying clauses:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 525673
% 88.24/88.71 Kept: 40627
% 88.24/88.71 Inuse: 431
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 539556
% 88.24/88.71 Kept: 42863
% 88.24/88.71 Inuse: 451
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 554599
% 88.24/88.71 Kept: 44884
% 88.24/88.71 Inuse: 476
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 562288
% 88.24/88.71 Kept: 46945
% 88.24/88.71 Inuse: 516
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 608228
% 88.24/88.71 Kept: 49135
% 88.24/88.71 Inuse: 526
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 625587
% 88.24/88.71 Kept: 51326
% 88.24/88.71 Inuse: 551
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 636025
% 88.24/88.71 Kept: 53369
% 88.24/88.71 Inuse: 571
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 658295
% 88.24/88.71 Kept: 55521
% 88.24/88.71 Inuse: 576
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 672998
% 88.24/88.71 Kept: 57582
% 88.24/88.71 Inuse: 606
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 688491
% 88.24/88.71 Kept: 59960
% 88.24/88.71 Inuse: 626
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 727625
% 88.24/88.71 Kept: 62223
% 88.24/88.71 Inuse: 636
% 88.24/88.71 Deleted: 188
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying clauses:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 753968
% 88.24/88.71 Kept: 65241
% 88.24/88.71 Inuse: 651
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 772318
% 88.24/88.71 Kept: 67582
% 88.24/88.71 Inuse: 671
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 785196
% 88.24/88.71 Kept: 69801
% 88.24/88.71 Inuse: 681
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 800491
% 88.24/88.71 Kept: 72049
% 88.24/88.71 Inuse: 706
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 823794
% 88.24/88.71 Kept: 74886
% 88.24/88.71 Inuse: 716
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 840193
% 88.24/88.71 Kept: 76897
% 88.24/88.71 Inuse: 730
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 855660
% 88.24/88.71 Kept: 78898
% 88.24/88.71 Inuse: 740
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 864209
% 88.24/88.71 Kept: 80929
% 88.24/88.71 Inuse: 751
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 873248
% 88.24/88.71 Kept: 82960
% 88.24/88.71 Inuse: 766
% 88.24/88.71 Deleted: 231
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying clauses:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 882685
% 88.24/88.71 Kept: 85214
% 88.24/88.71 Inuse: 781
% 88.24/88.71 Deleted: 357
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 892932
% 88.24/88.71 Kept: 87739
% 88.24/88.71 Inuse: 796
% 88.24/88.71 Deleted: 357
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 903199
% 88.24/88.71 Kept: 90292
% 88.24/88.71 Inuse: 811
% 88.24/88.71 Deleted: 357
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 88.24/88.71
% 88.24/88.71 Intermediate Status:
% 88.24/88.71 Generated: 912728
% 88.24/88.71 Kept: 92590
% 88.24/88.71 Inuse: 826
% 88.24/88.71 Deleted: 357
% 88.24/88.71 Deletedinuse: 0
% 88.24/88.71
% 88.24/88.71 Resimplifying inuse:
% 88.24/88.71 Done
% 88.24/88.71
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 923443
% 224.28/224.74 Kept: 95277
% 224.28/224.74 Inuse: 841
% 224.28/224.74 Deleted: 357
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 935046
% 224.28/224.74 Kept: 98259
% 224.28/224.74 Inuse: 856
% 224.28/224.74 Deleted: 357
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 943032
% 224.28/224.74 Kept: 100349
% 224.28/224.74 Inuse: 866
% 224.28/224.74 Deleted: 357
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 951926
% 224.28/224.74 Kept: 102722
% 224.28/224.74 Inuse: 876
% 224.28/224.74 Deleted: 357
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying clauses:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 960787
% 224.28/224.74 Kept: 105113
% 224.28/224.74 Inuse: 886
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 969733
% 224.28/224.74 Kept: 107504
% 224.28/224.74 Inuse: 896
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 980145
% 224.28/224.74 Kept: 109575
% 224.28/224.74 Inuse: 916
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 990593
% 224.28/224.74 Kept: 111602
% 224.28/224.74 Inuse: 936
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1004015
% 224.28/224.74 Kept: 114158
% 224.28/224.74 Inuse: 956
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1017973
% 224.28/224.74 Kept: 116477
% 224.28/224.74 Inuse: 966
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1030074
% 224.28/224.74 Kept: 118539
% 224.28/224.74 Inuse: 971
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1047304
% 224.28/224.74 Kept: 121482
% 224.28/224.74 Inuse: 981
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1065621
% 224.28/224.74 Kept: 124637
% 224.28/224.74 Inuse: 991
% 224.28/224.74 Deleted: 429
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying clauses:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1081736
% 224.28/224.74 Kept: 127498
% 224.28/224.74 Inuse: 1001
% 224.28/224.74 Deleted: 680
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1098375
% 224.28/224.74 Kept: 130206
% 224.28/224.74 Inuse: 1011
% 224.28/224.74 Deleted: 680
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1117356
% 224.28/224.74 Kept: 133335
% 224.28/224.74 Inuse: 1026
% 224.28/224.74 Deleted: 680
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1131546
% 224.28/224.74 Kept: 135807
% 224.28/224.74 Inuse: 1036
% 224.28/224.74 Deleted: 680
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1148172
% 224.28/224.74 Kept: 138886
% 224.28/224.74 Inuse: 1046
% 224.28/224.74 Deleted: 680
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1165377
% 224.28/224.74 Kept: 142062
% 224.28/224.74 Inuse: 1056
% 224.28/224.74 Deleted: 680
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1181838
% 224.28/224.74 Kept: 145094
% 224.28/224.74 Inuse: 1076
% 224.28/224.74 Deleted: 680
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying clauses:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1202663
% 224.28/224.74 Kept: 147954
% 224.28/224.74 Inuse: 1121
% 224.28/224.74 Deleted: 1092
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1216691
% 224.28/224.74 Kept: 149961
% 224.28/224.74 Inuse: 1155
% 224.28/224.74 Deleted: 1092
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1225482
% 224.28/224.74 Kept: 151963
% 224.28/224.74 Inuse: 1167
% 224.28/224.74 Deleted: 1092
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74
% 224.28/224.74 Intermediate Status:
% 224.28/224.74 Generated: 1290659
% 224.28/224.74 Kept: 157607
% 224.28/224.74 Inuse: 1196
% 224.28/224.74 Deleted: 1092
% 224.28/224.74 Deletedinuse: 0
% 224.28/224.74
% 224.28/224.74 Resimplifying inuse:
% 224.28/224.74 Done
% 224.28/224.74
% 224.28/224.74 ResimplifyiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------