TSTP Solution File: ALG339-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG339-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:23 EDT 2022
% Result : Timeout 300.07s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG339-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 9 03:43:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.19 *** allocated 10000 integers for termspace/termends
% 0.85/1.19 *** allocated 10000 integers for clauses
% 0.85/1.19 *** allocated 10000 integers for justifications
% 0.85/1.19 *** allocated 15000 integers for termspace/termends
% 0.85/1.19 Bliksem 1.12
% 0.85/1.19
% 0.85/1.19
% 0.85/1.19 Automatic Strategy Selection
% 0.85/1.19
% 0.85/1.19 Clauses:
% 0.85/1.19 [
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.85/1.19 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.85/1.19 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.85/1.19 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.19 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.19 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.19 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.85/1.19 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.19 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.19 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.19 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.85/1.19 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.19 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.19 ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.19 Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.19 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 , T, X ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.19 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 , T, X ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.85/1.19 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.85/1.19 ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.19 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.85/1.19 ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.19 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 , Z, X ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.19 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 , Z, X ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.85/1.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.85/1.19 , Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.19 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 Y, T, X ), Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.19 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 Y, T, X ), Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.19 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.19 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.85/1.19 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 X ), T, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.85/1.19 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 X ), Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.85/1.19 X ), Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.85/1.19 Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.85/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.85/1.19 Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.85/1.19 X ), Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.85/1.19 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.85/1.19 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.19 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.19 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.85/1.19 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.19 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.19 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.19 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.19 ), Y ) ],
% 0.85/1.19 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.19 ), Y ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.19 ), Y ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.85/1.19 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.85/1.19 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.85/1.19 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.85/1.19 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.19 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 Y, T, X ), Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.19 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.19 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.85/1.19 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.19 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.19 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.85/1.19 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.85/1.19 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.85/1.19 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.85/1.19 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.85/1.19 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.85/1.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.85/1.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.85/1.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.85/1.19 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.85/1.19 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.19 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.19 Y, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.19 , Y, X ) ) ],
% 0.85/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.19 , Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.85/1.19 ), X ), Y ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.85/1.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.19 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.85/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.19 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.85/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.19 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.85/1.19 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.85/1.19 =( Y, Z ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.19 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.19 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.85/1.19 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.85/1.19 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.85/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.85/1.19 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.19 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 0.85/1.19 ) ) ), =( X, Y ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.19 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.19 'c_Transcendental_Oexp'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 0.85/1.19 'c_RealVector_Oof__real'( 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal'
% 0.85/1.19 ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.19 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.19 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.19 , X ) ) ), =( Y, Z ) ],
% 0.85/1.19 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.19 , X ) ) ), =( Y, Z ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.19 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.19 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.85/1.19 Z, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.19 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.85/1.19 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.19 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.19 , Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.85/1.19 X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.85/1.19 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.19 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.85/1.19 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.19 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.85/1.19 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.85/1.19 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.19 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.19 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.19 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.85/1.19 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.85/1.19 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Y, T, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Y, T, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.85/1.19 X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Z, T, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Z, T, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.85/1.19 X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.85/1.19 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Z, Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.85/1.19 , X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.85/1.19 , X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.85/1.19 , X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.19 , X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.19 , X ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.19 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.85/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.85/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.85/1.19 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ) ],
% 0.85/1.19 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.85/1.19 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.85/1.19 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 0.85/1.19 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 0.85/1.19 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.85/1.19 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.85/1.19 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.19 ],
% 0.85/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.85/1.19 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.85/1.19 ) ) ],
% 0.85/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.85/1.19 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.85/1.19 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.85/1.19 , 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.85/1.19 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.85/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.85/1.19 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.85/1.19 ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.85/1.19 ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.19 , Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.19 , T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.19 , T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.19 , Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.85/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.85/1.19 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.19 X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.85/1.19 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.85/1.19 , X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.85/1.19 , X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.19 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.85/1.19 ,
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.85/1.19 , X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.85/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.85/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.20 , X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.20 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.85/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.85/1.20 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.85/1.20 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.20 Y, X ), Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.20 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.20 Y, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.85/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.20 T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.85/1.20 X ), Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.20 T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 X ), T, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.20 T, X ), X ) ) ],
% 0.85/1.20 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.20 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 X ), T, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.20 Y, X ), Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.85/1.20 ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.85/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.85/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.85/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.85/1.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 Y, Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 Y, Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.20 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.20 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.85/1.20 X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 0.85/1.20 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.85/1.20 X ) ) ), =( Z, T ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.85/1.20 X ) ) ), =( Z, T ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.85/1.20 X ) ) ), =( Y, T ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.85/1.20 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.20 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.85/1.20 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.20 ) ],
% 0.85/1.20 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.85/1.20 'tc_RealDef_Oreal' ) ), X ) ],
% 0.85/1.20 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.85/1.20 'tc_RealDef_Oreal' ) ), X ) ],
% 0.85/1.20 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.85/1.20 'tc_RealDef_Oreal' ) ), X ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.85/1.20 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.85/1.20 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.85/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.85/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.85/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.85/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.85/1.20 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.85/1.20 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.85/1.20 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.85/1.20 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.85/1.20 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.85/1.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 X ) ) ],
% 0.85/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.20 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.85/1.20 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.20 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.85/1.20 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.85/1.20 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.20 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.85/1.20 X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.85/1.20 X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.85/1.20 X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.85/1.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.20 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.85/1.20 ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.85/1.20 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.85/1.20 Y, Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.85/1.20 , X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.20 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.20 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.20 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.20 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.85/1.20 , X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.85/1.20 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.20 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.20 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.20 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.20 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.20 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.85/1.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.85/1.20 X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.85/1.20 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.20 Z, X ), X ) ) ],
% 0.85/1.20 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.85/1.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.20 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.20 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.20 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.85/1.20 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.85/1.20 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.20 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.20 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.85/1.20 ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.85/1.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.20 ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.20 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.20 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.85/1.20 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.85/1.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.20 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 X ), T, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.20 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.85/1.20 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.20 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.85/1.20 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.20 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 0.85/1.20 , X ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1'
% 0.85/1.20 , 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 0.85/1.20 , X ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1'( Y, X )
% 0.85/1.20 , 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1'(
% 0.85/1.20 Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1'( X ),
% 0.85/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ),
% 0.85/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1'( X, Y ),
% 0.85/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1'( X, Y
% 0.85/1.20 , Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.85/1.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.85/1.20 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.85/1.20 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 0.85/1.20 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 0.85/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), Y, 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1'( Y, X )
% 0.85/1.20 , 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1'(
% 0.85/1.20 X, Y, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.85/1.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.85/1.20 , Z ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.20 'class_RealVector_Oreal__algebra__1'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1'( Y, X ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.20 ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1'
% 0.85/1.20 , 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), Y,
% 0.85/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1'( X, Y ), X,
% 0.85/1.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 0.85/1.20 ],
% 0.85/1.20 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.20 ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.20 ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.85/1.20 , 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.20 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.20 ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ),
% 0.85/1.20 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1', 'tc_RealDef_Oreal'
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1'(
% 0.85/1.20 Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.85/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.20 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.85/1.20 ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.20 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.20 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.20 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.20 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.20 , Y, X ) ) ],
% 0.85/1.20 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.20 , X ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.20 , Y, X ) ) ],
% 0.85/1.20 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.20 ), =( Z, Y ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.20 ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.20 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.20 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.20 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'v_d1', 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.20 'tc_RealDef_Oreal' ), 'v_d2', 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ ~( 'c_HOL_Oord__class_Oless'( X, 'v_d2', 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( X, 'v_d1', 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.20 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.85/1.20 ],
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.85/1.20 ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.85/1.20 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.85/1.20 ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.85/1.20 ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.85/1.20 ],
% 0.85/1.20 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ,
% 0.85/1.20 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.20 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.20 ] .
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 percentage equality = 0.261303, percentage horn = 0.844622
% 0.85/1.20 This is a problem with some equality
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20
% 0.85/1.20 Options Used:
% 0.85/1.20
% 0.85/1.20 useres = 1
% 0.85/1.20 useparamod = 1
% 0.85/1.20 useeqrefl = 1
% 0.85/1.20 useeqfact = 1
% 0.85/1.20 usefactor = 1
% 0.85/1.20 usesimpsplitting = 0
% 0.85/1.20 usesimpdemod = 5
% 0.85/1.20 usesimpres = 3
% 0.85/1.20
% 0.85/1.20 resimpinuse = 1000
% 0.85/1.20 resimpclauses = 20000
% 0.85/1.20 substype = eqrewr
% 0.85/1.20 backwardsubs = 1
% 0.85/1.20 selectoldest = 5
% 0.85/1.20
% 0.85/1.20 litorderings [0] = split
% 0.85/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.20
% 0.85/1.20 termordering = kbo
% 0.85/1.20
% 0.85/1.20 litapriori = 0
% 0.85/1.20 termapriori = 1
% 0.85/1.20 litaposteriori = 0
% 0.85/1.20 termaposteriori = 0
% 0.85/1.20 demodaposteriori = 0
% 0.85/1.20 ordereqreflfact = 0
% 0.85/1.20
% 0.85/1.20 litselect = negord
% 0.85/1.20
% 0.85/1.20 maxweight = 15
% 0.85/1.20 maxdepth = 30000
% 0.85/1.20 maxlength = 115
% 0.85/1.20 maxnrvars = 195
% 0.85/1.20 excuselevel = 1
% 0.85/1.20 increasemaxweight = 1
% 0.85/1.20
% 0.85/1.20 maxselected = 10000000
% 0.85/1.20 maxnrclauses = 10000000
% 0.85/1.20
% 0.85/1.20 showgenerated = 0
% 0.85/1.20 showkept = 0
% 0.85/1.20 showselected = 0
% 0.85/1.20 showdeleted = 0
% 0.85/1.20 showresimp = 1
% 0.85/1.20 showstatus = 2000
% 0.85/1.20
% 0.85/1.20 prologoutput = 1
% 0.85/1.20 nrgoals = 5000000
% 0.85/1.20 totalproof = 1
% 0.85/1.20
% 0.85/1.20 Symbols occurring in the translation:
% 0.85/1.20
% 0.85/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.20 . [1, 2] (w:1, o:119, a:1, s:1, b:0),
% 0.85/1.20 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 0.85/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.20 'class_RealVector_Oreal__normed__algebra' [40, 1] (w:1, o:57, a:1, s:
% 0.85/1.20 1, b:0),
% 0.85/1.20 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.85/1.20 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Ocomm__semiring__1' [47, 1] (w:1, o:59, a:1
% 0.85/1.20 , s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Odivision__ring' [48, 1] (w:1, o:61, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'c_HOL_Oinverse__class_Oinverse' [49, 2] (w:1, o:144, a:1, s:1, b:0)
% 0.85/1.20 ,
% 0.85/1.20 'class_Ring__and__Field_Ofield' [50, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Odivision__by__zero' [51, 1] (w:1, o:63, a:1
% 0.85/1.20 , s:1, b:0),
% 0.85/1.20 'c_HOL_Oinverse__class_Odivide' [52, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.85/1.20
% 0.85/1.20 'class_OrderedGroup_Oordered__ab__group__add' [53, 1] (w:1, o:65, a:1
% 0.85/1.20 , s:1, b:0),
% 0.85/1.20 'c_HOL_Ouminus__class_Ouminus' [54, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Oring__1__no__zero__divisors' [55, 1] (w:1
% 0.85/1.20 , o:66, a:1, s:1, b:0),
% 0.85/1.20 'c_Power_Opower__class_Opower' [57, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Ozero__neq__one' [58, 1] (w:1, o:67, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'class_Ring__and__Field_Ono__zero__divisors' [59, 1] (w:1, o:69, a:1
% 0.85/1.20 , s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Omult__zero' [60, 1] (w:1, o:68, a:1, s:1, b:
% 0.85/1.20 0),
% 0.85/1.20 'class_Power_Opower' [61, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.85/1.20 'class_OrderedGroup_Ogroup__add' [62, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.85/1.20
% 0.85/1.20 'class_Ring__and__Field_Oring__no__zero__divisors' [63, 1] (w:1, o:92
% 0.85/1.20 , a:1, s:1, b:0),
% 0.85/1.20 'class_OrderedGroup_Olordered__ab__group__add' [64, 1] (w:1, o:71, a:
% 0.85/1.20 1, s:1, b:0),
% 0.85/1.20 'c_HOL_Oplus__class_Oplus' [65, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Oidom' [66, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.85/1.20 'class_Int_Onumber__ring' [67, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.85/1.20 'class_OrderedGroup_Opordered__ab__group__add__abs' [68, 1] (w:1, o:
% 0.85/1.20 72, a:1, s:1, b:0),
% 0.85/1.20 'c_HOL_Oabs__class_Oabs' [69, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.85/1.20 'class_RealVector_Oreal__normed__vector' [70, 1] (w:1, o:95, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'c_RealVector_OscaleR__class_OscaleR' [71, 3] (w:1, o:168, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'class_RealVector_Oreal__vector' [72, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.85/1.20
% 0.85/1.20 'class_RealVector_Oreal__normed__field' [73, 1] (w:1, o:97, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'class_Ring__and__Field_Oordered__idom' [74, 1] (w:1, o:98, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'c_HOL_Osgn__class_Osgn' [75, 2] (w:1, o:147, a:1, s:1, b:0),
% 0.85/1.20 'class_SEQ_Obanach' [76, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.85/1.20 'c_Transcendental_Oexp' [77, 2] (w:1, o:148, a:1, s:1, b:0),
% 0.85/1.20 'class_OrderedGroup_Omonoid__add' [78, 1] (w:1, o:74, a:1, s:1, b:0)
% 0.85/1.20 ,
% 0.85/1.20 'class_OrderedGroup_Ocomm__monoid__add' [79, 1] (w:1, o:75, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'class_Ring__and__Field_Oordered__field' [80, 1] (w:1, o:99, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'c_HOL_Oord__class_Oless' [82, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Oordered__ring__strict' [83, 1] (w:1, o:100
% 0.85/1.20 , a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Osgn__if' [85, 1] (w:1, o:102, a:1, s:1, b:0)
% 0.85/1.20 ,
% 0.85/1.20 'class_Lattices_Oboolean__algebra' [86, 1] (w:1, o:114, a:1, s:1, b:0
% 0.85/1.20 ),
% 0.85/1.20 'class_OrderedGroup_Oab__group__add' [88, 1] (w:1, o:76, a:1, s:1, b:
% 0.85/1.20 0),
% 0.85/1.20 'tc_RealDef_Oreal' [90, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.85/1.20 'c_NthRoot_Osqrt' [91, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.85/1.20 'class_Ring__and__Field_Osemiring' [92, 1] (w:1, o:103, a:1, s:1, b:0
% 0.85/1.20 ),
% 0.85/1.20 'class_RealVector_Oreal__algebra__1' [94, 1] (w:1, o:104, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'c_RealVector_Oof__real' [96, 2] (w:1, o:150, a:1, s:1, b:0),
% 0.85/1.20 'class_OrderedGroup_Oab__semigroup__add' [98, 1] (w:1, o:77, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'c_RealVector_Onorm__class_Onorm' [100, 2] (w:1, o:149, a:1, s:1, b:0
% 0.85/1.20 ),
% 0.85/1.20 'class_Nat_Osemiring__char__0' [101, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.85/1.20 'c_Nat_Osemiring__1__class_Oof__nat' [103, 2] (w:1, o:151, a:1, s:1
% 0.85/1.20 , b:0),
% 0.85/1.20 'tc_nat' [104, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.85/1.20 'c_RealDef_Oreal' [105, 2] (w:1, o:152, a:1, s:1, b:0),
% 16.61/16.98 'class_Ring__and__Field_Oring' [110, 1] (w:1, o:101, a:1, s:1, b:0),
% 16.61/16.98
% 16.61/16.98 'class_OrderedGroup_Oab__semigroup__idem__mult' [111, 1] (w:1, o:78
% 16.61/16.98 , a:1, s:1, b:0),
% 16.61/16.98 'class_Ring__and__Field_Oabs__if' [113, 1] (w:1, o:105, a:1, s:1, b:0
% 16.61/16.98 ),
% 16.61/16.98 'class_Orderings_Olinorder' [114, 1] (w:1, o:79, a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Olordered__ab__group__add__abs' [115, 1] (w:1, o:
% 16.61/16.98 73, a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [116, 1]
% 16.61/16.98 (w:1, o:80, a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [117, 1]
% 16.61/16.98 (w:1, o:81, a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Opordered__ab__group__add' [118, 1] (w:1, o:82
% 16.61/16.98 , a:1, s:1, b:0),
% 16.61/16.98 'c_Transcendental_Opi' [119, 0] (w:1, o:40, a:1, s:1, b:0),
% 16.61/16.98 'c_NthRoot_Oroot' [120, 2] (w:1, o:153, a:1, s:1, b:0),
% 16.61/16.98 'class_RealVector_Ometric__space' [121, 1] (w:1, o:106, a:1, s:1, b:0
% 16.61/16.98 ),
% 16.61/16.98 'c_RealVector_Odist__class_Odist' [122, 3] (w:1, o:169, a:1, s:1, b:0
% 16.61/16.98 ),
% 16.61/16.98 'c_Transcendental_Oln' [123, 1] (w:1, o:116, a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Opordered__comm__monoid__add' [124, 1] (w:1, o:83
% 16.61/16.98 , a:1, s:1, b:0),
% 16.61/16.98 'class_Ring__and__Field_Oordered__semidom' [125, 1] (w:1, o:107, a:1
% 16.61/16.98 , s:1, b:0),
% 16.61/16.98 'class_Ring__and__Field_Oordered__semiring__strict' [126, 1] (w:1, o:
% 16.61/16.98 108, a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Ocomm__monoid__mult' [127, 1] (w:1, o:84, a:1, s:
% 16.61/16.98 1, b:0),
% 16.61/16.98 'class_OrderedGroup_Oab__semigroup__mult' [129, 1] (w:1, o:85, a:1
% 16.61/16.98 , s:1, b:0),
% 16.61/16.98 'class_Ring__and__Field_Ocomm__semiring' [135, 1] (w:1, o:60, a:1, s:
% 16.61/16.98 1, b:0),
% 16.61/16.98 'class_OrderedGroup_Ocancel__ab__semigroup__add' [137, 1] (w:1, o:86
% 16.61/16.98 , a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Ocancel__semigroup__add' [138, 1] (w:1, o:87, a:1
% 16.61/16.98 , s:1, b:0),
% 16.61/16.98 'class_RealVector_Oreal__algebra' [140, 1] (w:1, o:109, a:1, s:1, b:0
% 16.61/16.98 ),
% 16.61/16.98 'class_RealVector_Oreal__normed__algebra__1' [141, 1] (w:1, o:110, a:
% 16.61/16.98 1, s:1, b:0),
% 16.61/16.98 'class_RealVector_Oreal__normed__div__algebra' [143, 1] (w:1, o:111
% 16.61/16.98 , a:1, s:1, b:0),
% 16.61/16.98 'class_OrderedGroup_Omonoid__mult' [144, 1] (w:1, o:88, a:1, s:1, b:0
% 16.61/16.98 ),
% 16.61/16.98 'class_Ring__and__Field_Oordered__comm__semiring__strict' [145, 1]
% 16.61/16.98 (w:1, o:112, a:1, s:1, b:0),
% 16.61/16.98 'c_RealDef_Oreal__of__preal' [146, 1] (w:1, o:117, a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1' [147, 2
% 16.61/16.98 ] (w:1, o:154, a:1, s:1, b:0),
% 16.61/16.98 'c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1' [148, 0] (w:1, o:
% 16.61/16.98 47, a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1' [149, 2
% 16.61/16.98 ] (w:1, o:155, a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1' [150, 2
% 16.61/16.98 ] (w:1, o:156, a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1' [152
% 16.61/16.98 , 3] (w:1, o:170, a:1, s:1, b:0),
% 16.61/16.98 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1' [153, 1
% 16.61/16.98 ] (w:1, o:118, a:1, s:1, b:0),
% 16.61/16.98 'c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1' [156, 2] (w:
% 16.61/16.98 1, o:157, a:1, s:1, b:0),
% 16.61/16.98 'c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1' [157, 2] (w:1
% 16.61/16.98 , o:158, a:1, s:1, b:0),
% 16.61/16.98 'c_Deriv_Osko__Deriv__Xlemma__interval__1__1' [158, 3] (w:1, o:171
% 16.61/16.98 , a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1' [160, 2
% 16.61/16.98 ] (w:1, o:159, a:1, s:1, b:0),
% 16.61/16.98 'c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1' [161, 3] (w:1, o:
% 16.61/16.98 172, a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1' [163, 2
% 16.61/16.98 ] (w:1, o:160, a:1, s:1, b:0),
% 16.61/16.98 'c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1' [164, 0] (w:1, o:
% 16.61/16.98 48, a:1, s:1, b:0),
% 16.61/16.98 'c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1' [165, 0] (w:1
% 16.61/16.98 , o:49, a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1' [167, 2]
% 16.61/16.98 (w:1, o:161, a:1, s:1, b:0),
% 16.61/16.98 'c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1' [168,
% 16.61/16.98 2] (w:1, o:162, a:1, s:1, b:0),
% 90.08/90.48 'class_Orderings_Oorder' [169, 1] (w:1, o:89, a:1, s:1, b:0),
% 90.08/90.48 'class_Orderings_Opreorder' [170, 1] (w:1, o:90, a:1, s:1, b:0),
% 90.08/90.48 'v_d1' [171, 0] (w:1, o:50, a:1, s:1, b:0),
% 90.08/90.48 'v_d2' [172, 0] (w:1, o:51, a:1, s:1, b:0).
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Starting Search:
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 9233
% 90.08/90.48 Kept: 2007
% 90.08/90.48 Inuse: 81
% 90.08/90.48 Deleted: 1
% 90.08/90.48 Deletedinuse: 0
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 16293
% 90.08/90.48 Kept: 4021
% 90.08/90.48 Inuse: 145
% 90.08/90.48 Deleted: 1
% 90.08/90.48 Deletedinuse: 0
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 27661
% 90.08/90.48 Kept: 6136
% 90.08/90.48 Inuse: 244
% 90.08/90.48 Deleted: 2
% 90.08/90.48 Deletedinuse: 0
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 39632
% 90.08/90.48 Kept: 8462
% 90.08/90.48 Inuse: 318
% 90.08/90.48 Deleted: 3
% 90.08/90.48 Deletedinuse: 0
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 59592
% 90.08/90.48 Kept: 10868
% 90.08/90.48 Inuse: 374
% 90.08/90.48 Deleted: 5
% 90.08/90.48 Deletedinuse: 0
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 67060
% 90.08/90.48 Kept: 12870
% 90.08/90.48 Inuse: 426
% 90.08/90.48 Deleted: 6
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 84619
% 90.08/90.48 Kept: 14921
% 90.08/90.48 Inuse: 509
% 90.08/90.48 Deleted: 8
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 98909
% 90.08/90.48 Kept: 17017
% 90.08/90.48 Inuse: 539
% 90.08/90.48 Deleted: 8
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 115911
% 90.08/90.48 Kept: 19580
% 90.08/90.48 Inuse: 549
% 90.08/90.48 Deleted: 8
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying clauses:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 133681
% 90.08/90.48 Kept: 21917
% 90.08/90.48 Inuse: 586
% 90.08/90.48 Deleted: 522
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 148489
% 90.08/90.48 Kept: 23923
% 90.08/90.48 Inuse: 634
% 90.08/90.48 Deleted: 522
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 157734
% 90.08/90.48 Kept: 25952
% 90.08/90.48 Inuse: 645
% 90.08/90.48 Deleted: 522
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 181265
% 90.08/90.48 Kept: 28414
% 90.08/90.48 Inuse: 661
% 90.08/90.48 Deleted: 522
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 198326
% 90.08/90.48 Kept: 30431
% 90.08/90.48 Inuse: 698
% 90.08/90.48 Deleted: 522
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 211192
% 90.08/90.48 Kept: 32487
% 90.08/90.48 Inuse: 716
% 90.08/90.48 Deleted: 522
% 90.08/90.48 Deletedinuse: 1
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 221805
% 90.08/90.48 Kept: 34643
% 90.08/90.48 Inuse: 751
% 90.08/90.48 Deleted: 524
% 90.08/90.48 Deletedinuse: 3
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 247060
% 90.08/90.48 Kept: 37571
% 90.08/90.48 Inuse: 786
% 90.08/90.48 Deleted: 535
% 90.08/90.48 Deletedinuse: 14
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 281092
% 90.08/90.48 Kept: 39954
% 90.08/90.48 Inuse: 795
% 90.08/90.48 Deleted: 536
% 90.08/90.48 Deletedinuse: 14
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying clauses:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 289709
% 90.08/90.48 Kept: 41955
% 90.08/90.48 Inuse: 805
% 90.08/90.48 Deleted: 2020
% 90.08/90.48 Deletedinuse: 14
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 297976
% 90.08/90.48 Kept: 43963
% 90.08/90.48 Inuse: 811
% 90.08/90.48 Deleted: 2020
% 90.08/90.48 Deletedinuse: 14
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 308858
% 90.08/90.48 Kept: 46035
% 90.08/90.48 Inuse: 839
% 90.08/90.48 Deleted: 2020
% 90.08/90.48 Deletedinuse: 14
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 317869
% 90.08/90.48 Kept: 48050
% 90.08/90.48 Inuse: 862
% 90.08/90.48 Deleted: 2020
% 90.08/90.48 Deletedinuse: 14
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 90.08/90.48 Done
% 90.08/90.48
% 90.08/90.48
% 90.08/90.48 Intermediate Status:
% 90.08/90.48 Generated: 329370
% 90.08/90.48 Kept: 50221
% 90.08/90.48 Inuse: 885
% 90.08/90.48 Deleted: 2020
% 90.08/90.48 Deletedinuse: 14
% 90.08/90.48
% 90.08/90.48 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 343352
% 183.92/184.29 Kept: 52415
% 183.92/184.29 Inuse: 917
% 183.92/184.29 Deleted: 2039
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 355310
% 183.92/184.29 Kept: 54427
% 183.92/184.29 Inuse: 932
% 183.92/184.29 Deleted: 2039
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 368853
% 183.92/184.29 Kept: 56628
% 183.92/184.29 Inuse: 952
% 183.92/184.29 Deleted: 2039
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 380767
% 183.92/184.29 Kept: 58668
% 183.92/184.29 Inuse: 980
% 183.92/184.29 Deleted: 2039
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 392595
% 183.92/184.29 Kept: 60757
% 183.92/184.29 Inuse: 1002
% 183.92/184.29 Deleted: 2039
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying clauses:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 404445
% 183.92/184.29 Kept: 62767
% 183.92/184.29 Inuse: 1019
% 183.92/184.29 Deleted: 3737
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 417237
% 183.92/184.29 Kept: 64778
% 183.92/184.29 Inuse: 1045
% 183.92/184.29 Deleted: 3737
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 431725
% 183.92/184.29 Kept: 66782
% 183.92/184.29 Inuse: 1061
% 183.92/184.29 Deleted: 3737
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 444548
% 183.92/184.29 Kept: 68955
% 183.92/184.29 Inuse: 1082
% 183.92/184.29 Deleted: 3737
% 183.92/184.29 Deletedinuse: 30
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 457600
% 183.92/184.29 Kept: 70999
% 183.92/184.29 Inuse: 1108
% 183.92/184.29 Deleted: 3739
% 183.92/184.29 Deletedinuse: 32
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 485966
% 183.92/184.29 Kept: 74913
% 183.92/184.29 Inuse: 1151
% 183.92/184.29 Deleted: 3739
% 183.92/184.29 Deletedinuse: 32
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 496195
% 183.92/184.29 Kept: 76961
% 183.92/184.29 Inuse: 1192
% 183.92/184.29 Deleted: 3904
% 183.92/184.29 Deletedinuse: 197
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 521891
% 183.92/184.29 Kept: 79563
% 183.92/184.29 Inuse: 1217
% 183.92/184.29 Deleted: 3904
% 183.92/184.29 Deletedinuse: 197
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 557012
% 183.92/184.29 Kept: 82108
% 183.92/184.29 Inuse: 1257
% 183.92/184.29 Deleted: 3912
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying clauses:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 579378
% 183.92/184.29 Kept: 84112
% 183.92/184.29 Inuse: 1271
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 601937
% 183.92/184.29 Kept: 86133
% 183.92/184.29 Inuse: 1280
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 623144
% 183.92/184.29 Kept: 88712
% 183.92/184.29 Inuse: 1307
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 637676
% 183.92/184.29 Kept: 90723
% 183.92/184.29 Inuse: 1335
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 657545
% 183.92/184.29 Kept: 93562
% 183.92/184.29 Inuse: 1372
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 698305
% 183.92/184.29 Kept: 96800
% 183.92/184.29 Inuse: 1382
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 722128
% 183.92/184.29 Kept: 99613
% 183.92/184.29 Inuse: 1402
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 750267
% 183.92/184.29 Kept: 101806
% 183.92/184.29 Inuse: 1407
% 183.92/184.29 Deleted: 10763
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 Resimplifying clauses:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 764087
% 183.92/184.29 Kept: 103839
% 183.92/184.29 Inuse: 1435
% 183.92/184.29 Deleted: 11512
% 183.92/184.29 Deletedinuse: 205
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29
% 183.92/184.29 Intermediate Status:
% 183.92/184.29 Generated: 781358
% 183.92/184.29 Kept: 105839
% 183.92/184.29 Inuse: 1454
% 183.92/184.29 Deleted: 11518
% 183.92/184.29 Deletedinuse: 211
% 183.92/184.29
% 183.92/184.29 Resimplifying inuse:
% 183.92/184.29 Done
% 183.92/184.29
% 183.92/184.29 RCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------