TSTP Solution File: ALG358-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG358-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 12:10:29 EDT 2022
% Result : Timeout 300.02s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG358-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 8 23:44:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.88/1.23 *** allocated 10000 integers for termspace/termends
% 0.88/1.23 *** allocated 10000 integers for clauses
% 0.88/1.23 *** allocated 10000 integers for justifications
% 0.88/1.23 *** allocated 15000 integers for termspace/termends
% 0.88/1.23 Bliksem 1.12
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 Automatic Strategy Selection
% 0.88/1.23
% 0.88/1.23 Clauses:
% 0.88/1.23 [
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.23 , X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 Z, Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.23 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.88/1.23 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.23 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.23 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.88/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.88/1.23 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.88/1.23 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.23 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.88/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.88/1.23 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.23 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.23 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.88/1.23 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.23 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.23 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.23 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.23 ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.24 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.24 , X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , T, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , T, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.88/1.24 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.88/1.24 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.88/1.24 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , Z, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.88/1.24 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , Z, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.88/1.24 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, T, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, T, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.88/1.24 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.88/1.24 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.24 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.88/1.24 Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.88/1.24 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.24 Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.88/1.24 X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.88/1.24 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.88/1.24 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.88/1.24 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.88/1.24 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.24 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.88/1.24 Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.24 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.24 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.88/1.24 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.88/1.24 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.88/1.24 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.24 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.24 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.24 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.88/1.24 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.24 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.88/1.24 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.24 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.88/1.24 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.88/1.24 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.24 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.88/1.24 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Oii',
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Oii', X, 'tc_Complex_Ocomplex' )
% 0.88/1.24 , 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 , Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.88/1.24 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.24 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.88/1.24 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.88/1.24 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.88/1.24 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.88/1.24 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.24 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.88/1.24 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Y, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.88/1.24 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.88/1.24 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, T, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.88/1.24 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.88/1.24 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_nat' ), 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.88/1.24 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.88/1.24 [ =( 'c_Complex_ORe'( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ), X ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 0.88/1.24 Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ],
% 0.88/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.88/1.24 'c_RealVector_Oof__real'( Z, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ), Y ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( X,
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'( Y, Z ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_Complex_Ocomplex_OComplex'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Z ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Oii', 'c_Complex_Oii',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.88/1.24 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.88/1.24 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( =( 'v_na____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.88/1.24 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.88/1.24 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.88/1.24 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.24 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.24 , X ), W, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.24 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.24 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.88/1.24 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 0.88/1.24 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.88/1.24 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.88/1.24 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 0.88/1.24 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.88/1.24 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.88/1.24 , 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.88/1.24 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 0.88/1.24 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.24 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.88/1.24 'tc_RealDef_Oreal' ), X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_RealVector_Oof__real'( Y, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( Y
% 0.88/1.24 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.24 T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.24 X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.24 T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.88/1.24 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.88/1.24 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.88/1.24 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.88/1.24 ), 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.88/1.24 ), 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 0.88/1.24 'c_Complex_Ocomplex_OComplex'( Z, T ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oplus__class_Oplus'( X, Z,
% 0.88/1.24 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.24 'tc_RealDef_Oreal' ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.24 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.24 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.88/1.24 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.88/1.24 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.24 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.24 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.88/1.24 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.24 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.88/1.24 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ =( 'c_Complex_ORe'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.24 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_ORe'( X
% 0.88/1.24 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.24 , T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.24 , T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , Y, X ), X ) ) ],
% 0.88/1.24 [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.88/1.24 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.88/1.24 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ =( 'c_Complex_ORe'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ =( 'c_RealVector_Odist__class_Odist'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Otimes__class_Otimes'( 'v_b',
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'v_sko__local__XIH__1'( 'v_b', X ), X,
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.88/1.24 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.88/1.24 , 'tc_RealDef_Oreal' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.88/1.24 ~( 'c_HOL_Oord__class_Oless'( X, 'v_na____', 'tc_nat' ) ) ],
% 0.88/1.24 [ =( 'c_Power_Opower__class_Opower'( 'c_RealVector_Oof__real'( X,
% 0.88/1.24 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.88/1.24 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.88/1.24 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.24 , X ), W, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.88/1.24 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.88/1.24 W, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.88/1.24 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.88/1.24 , X ), T, X ), W, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.24 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.88/1.24 W, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.24 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.24 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.24 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.88/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.88/1.24 Z, 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.88/1.24 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.88/1.24 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 0.88/1.24 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.24 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.88/1.24 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( X, 'c_RealVector_Oof__real'(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.88/1.24 ), Y, X ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Complex_Oii', 'tc_Complex_Ocomplex' )
% 0.88/1.24 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.88/1.24 , 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.24 'c_Complex_Oii', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.88/1.24 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.88/1.24 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'v_na____', 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.24 X ) ) ), =( Y, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.24 X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.24 X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.88/1.24 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.88/1.24 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.24 ), =( Z, Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.24 Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.88/1.24 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.88/1.24 =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.88/1.24 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.88/1.24 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 Z, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_Complex_Oii', 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'v_m____', 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'( X, 'v_na____',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.88/1.24 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.24 ],
% 0.88/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_Complex_Oii', 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.88/1.24 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'(
% 0.88/1.24 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'v_b', 'tc_Complex_Ocomplex' ), 'c_Complex_Oii'
% 0.88/1.24 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 'c_RealVector_Oof__real'( 'c_RealVector_Onorm__class_Onorm'( 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_b',
% 0.88/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.88/1.24 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.24 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.24 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.24 ] .
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 percentage equality = 0.257682, percentage horn = 0.855401
% 0.88/1.24 This is a problem with some equality
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24
% 0.88/1.24 Options Used:
% 0.88/1.24
% 0.88/1.24 useres = 1
% 0.88/1.24 useparamod = 1
% 0.88/1.24 useeqrefl = 1
% 0.88/1.24 useeqfact = 1
% 0.88/1.24 usefactor = 1
% 0.88/1.24 usesimpsplitting = 0
% 0.88/1.24 usesimpdemod = 5
% 0.88/1.24 usesimpres = 3
% 0.88/1.24
% 0.88/1.24 resimpinuse = 1000
% 0.88/1.24 resimpclauses = 20000
% 0.88/1.24 substype = eqrewr
% 0.88/1.24 backwardsubs = 1
% 0.88/1.24 selectoldest = 5
% 0.88/1.24
% 0.88/1.24 litorderings [0] = split
% 0.88/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.24
% 0.88/1.24 termordering = kbo
% 0.88/1.24
% 0.88/1.24 litapriori = 0
% 0.88/1.24 termapriori = 1
% 0.88/1.24 litaposteriori = 0
% 0.88/1.24 termaposteriori = 0
% 0.88/1.24 demodaposteriori = 0
% 0.88/1.24 ordereqreflfact = 0
% 0.88/1.24
% 0.88/1.24 litselect = negord
% 0.88/1.24
% 0.88/1.24 maxweight = 15
% 0.88/1.24 maxdepth = 30000
% 0.88/1.24 maxlength = 115
% 0.88/1.24 maxnrvars = 195
% 1.46/1.83 excuselevel = 1
% 1.46/1.83 increasemaxweight = 1
% 1.46/1.83
% 1.46/1.83 maxselected = 10000000
% 1.46/1.83 maxnrclauses = 10000000
% 1.46/1.83
% 1.46/1.83 showgenerated = 0
% 1.46/1.83 showkept = 0
% 1.46/1.83 showselected = 0
% 1.46/1.83 showdeleted = 0
% 1.46/1.83 showresimp = 1
% 1.46/1.83 showstatus = 2000
% 1.46/1.83
% 1.46/1.83 prologoutput = 1
% 1.46/1.83 nrgoals = 5000000
% 1.46/1.83 totalproof = 1
% 1.46/1.83
% 1.46/1.83 Symbols occurring in the translation:
% 1.46/1.83
% 1.46/1.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.46/1.83 . [1, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.46/1.83 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 1.46/1.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.46/1.83 'class_OrderedGroup_Opordered__ab__group__add' [40, 1] (w:1, o:59, a:
% 1.46/1.83 1, s:1, b:0),
% 1.46/1.83 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:153, a:1, s:1, b:0),
% 1.46/1.83 'c_HOL_Ouminus__class_Ouminus' [44, 2] (w:1, o:145, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Oordered__ring__strict' [45, 1] (w:1, o:62
% 1.46/1.83 , a:1, s:1, b:0),
% 1.46/1.83 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:154, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Oordered__idom' [48, 1] (w:1, o:63, a:1, s:1
% 1.46/1.83 , b:0),
% 1.46/1.83 'c_HOL_Oabs__class_Oabs' [49, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.46/1.83 'c_Suc' [51, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.46/1.83 'tc_nat' [53, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.46/1.83 'c_HOL_Ozero__class_Ozero' [55, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.46/1.83 'c_HOL_Oplus__class_Oplus' [56, 3] (w:1, o:155, a:1, s:1, b:0),
% 1.46/1.83 'c_HOL_Osgn__class_Osgn' [58, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.46/1.83 'c_HOL_Oone__class_Oone' [59, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Osgn__if' [60, 1] (w:1, o:71, a:1, s:1, b:0)
% 1.46/1.83 ,
% 1.46/1.83 'class_OrderedGroup_Oab__group__add' [61, 1] (w:1, o:72, a:1, s:1, b:
% 1.46/1.83 0),
% 1.46/1.83 'class_OrderedGroup_Ogroup__add' [62, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.46/1.83
% 1.46/1.83 'class_OrderedGroup_Opordered__ab__group__add__abs' [63, 1] (w:1, o:
% 1.46/1.83 74, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Oidom' [65, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.46/1.83 'class_Int_Onumber__ring' [66, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Ocomm__semiring__1' [69, 1] (w:1, o:78, a:1
% 1.46/1.83 , s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Ocomm__semiring' [70, 1] (w:1, o:79, a:1, s:1
% 1.46/1.83 , b:0),
% 1.46/1.83 'class_RealVector_Oreal__normed__algebra' [71, 1] (w:1, o:80, a:1, s:
% 1.46/1.83 1, b:0),
% 1.46/1.83 'class_OrderedGroup_Olordered__ab__group__add' [76, 1] (w:1, o:81, a:
% 1.46/1.83 1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Osemiring' [77, 1] (w:1, o:82, a:1, s:1, b:0)
% 1.46/1.83 ,
% 1.46/1.83 'class_OrderedGroup_Omonoid__add' [79, 1] (w:1, o:84, a:1, s:1, b:0)
% 1.46/1.83 ,
% 1.46/1.83 'class_OrderedGroup_Ocomm__monoid__add' [80, 1] (w:1, o:85, a:1, s:1
% 1.46/1.83 , b:0),
% 1.46/1.83 'c_Power_Opower__class_Opower' [81, 3] (w:1, o:156, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Oordered__field' [82, 1] (w:1, o:86, a:1, s:1
% 1.46/1.83 , b:0),
% 1.46/1.83 'c_HOL_Oinverse__class_Odivide' [83, 3] (w:1, o:157, a:1, s:1, b:0),
% 1.46/1.83
% 1.46/1.83 'class_Ring__and__Field_Odivision__by__zero' [84, 1] (w:1, o:87, a:1
% 1.46/1.83 , s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Ozero__neq__one' [85, 1] (w:1, o:88, a:1, s:1
% 1.46/1.83 , b:0),
% 1.46/1.83 'class_OrderedGroup_Omonoid__mult' [86, 1] (w:1, o:89, a:1, s:1, b:0)
% 1.46/1.83 ,
% 1.46/1.83 'class_OrderedGroup_Ocomm__monoid__mult' [87, 1] (w:1, o:90, a:1, s:1
% 1.46/1.83 , b:0),
% 1.46/1.83 'class_RealVector_Oreal__normed__algebra__1' [88, 1] (w:1, o:91, a:1
% 1.46/1.83 , s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Ofield' [89, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Oring__1' [90, 1] (w:1, o:67, a:1, s:1, b:0)
% 1.46/1.83 ,
% 1.46/1.83 'class_Ring__and__Field_Osemiring__0' [91, 1] (w:1, o:93, a:1, s:1
% 1.46/1.83 , b:0),
% 1.46/1.83 'class_Power_Opower' [92, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.46/1.83 'c_HOL_Ominus__class_Ominus' [93, 3] (w:1, o:158, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Oring__1__no__zero__divisors' [95, 1] (w:1
% 1.46/1.83 , o:68, a:1, s:1, b:0),
% 1.46/1.83 'class_Lattices_Oboolean__algebra' [96, 1] (w:1, o:106, a:1, s:1, b:0
% 1.46/1.83 ),
% 1.46/1.83 'class_Ring__and__Field_Oordered__semiring__strict' [97, 1] (w:1, o:
% 1.46/1.83 107, a:1, s:1, b:0),
% 1.46/1.83 'class_Ring__and__Field_Oordered__comm__semiring__strict' [98, 1] (w:
% 1.46/1.83 1, o:108, a:1, s:1, b:0),
% 1.46/1.83 'class_RealVector_Oreal__normed__vector' [99, 1] (w:1, o:109, a:1, s:
% 11.65/12.01 1, b:0),
% 11.65/12.01 'c_Parity_Oeven__odd__class_Oeven' [100, 2] (w:1, o:148, a:1, s:1, b:
% 11.65/12.01 0),
% 11.65/12.01 'class_Ring__and__Field_Ono__zero__divisors' [101, 1] (w:1, o:61, a:1
% 11.65/12.01 , s:1, b:0),
% 11.65/12.01 'class_Ring__and__Field_Omult__zero' [102, 1] (w:1, o:60, a:1, s:1
% 11.65/12.01 , b:0),
% 11.65/12.01 'class_Orderings_Olinorder' [104, 1] (w:1, o:94, a:1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Olordered__ab__group__add__abs' [105, 1] (w:1, o:
% 11.65/12.01 83, a:1, s:1, b:0),
% 11.65/12.01 'class_Ring__and__Field_Oabs__if' [106, 1] (w:1, o:110, a:1, s:1, b:0
% 11.65/12.01 ),
% 11.65/12.01 'c_Complex_Oii' [107, 0] (w:1, o:34, a:1, s:1, b:0),
% 11.65/12.01 'tc_Complex_Ocomplex' [108, 0] (w:1, o:35, a:1, s:1, b:0),
% 11.65/12.01 'class_Ring__and__Field_Oring__no__zero__divisors' [109, 1] (w:1, o:
% 11.65/12.01 69, a:1, s:1, b:0),
% 11.65/12.01 'class_Ring__and__Field_Oring' [117, 1] (w:1, o:70, a:1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Oab__semigroup__idem__mult' [118, 1] (w:1, o:95
% 11.65/12.01 , a:1, s:1, b:0),
% 11.65/12.01 'tc_RealDef_Oreal' [119, 0] (w:1, o:40, a:1, s:1, b:0),
% 11.65/12.01 'c_Complex_Ocomplex_OComplex' [122, 2] (w:1, o:149, a:1, s:1, b:0),
% 11.65/12.01 'class_RealVector_Oreal__normed__field' [126, 1] (w:1, o:111, a:1, s:
% 11.65/12.01 1, b:0),
% 11.65/12.01 'c_RealVector_Onorm__class_Onorm' [127, 2] (w:1, o:150, a:1, s:1, b:0
% 11.65/12.01 ),
% 11.65/12.01 'c_RealVector_Oof__real' [128, 2] (w:1, o:151, a:1, s:1, b:0),
% 11.65/12.01 'c_Complex_ORe' [129, 1] (w:1, o:112, a:1, s:1, b:0),
% 11.65/12.01 'class_Ring__and__Field_Oordered__semidom' [130, 1] (w:1, o:113, a:1
% 11.65/12.01 , s:1, b:0),
% 11.65/12.01 'v_na____' [132, 0] (w:1, o:48, a:1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Opordered__comm__monoid__add' [133, 1] (w:1, o:96
% 11.65/12.01 , a:1, s:1, b:0),
% 11.65/12.01 'class_RealVector_Odist__norm' [134, 1] (w:1, o:114, a:1, s:1, b:0),
% 11.65/12.01
% 11.65/12.01 'c_RealVector_Odist__class_Odist' [135, 3] (w:1, o:159, a:1, s:1, b:0
% 11.65/12.01 ),
% 11.65/12.01 'class_RealVector_Oreal__normed__div__algebra' [136, 1] (w:1, o:115
% 11.65/12.01 , a:1, s:1, b:0),
% 11.65/12.01 'class_Ring__and__Field_Ocomm__ring__1' [137, 1] (w:1, o:77, a:1, s:1
% 11.65/12.01 , b:0),
% 11.65/12.01 'class_RealVector_Oreal__algebra__1' [138, 1] (w:1, o:116, a:1, s:1
% 11.65/12.01 , b:0),
% 11.65/12.01 'class_OrderedGroup_Oab__semigroup__mult' [139, 1] (w:1, o:97, a:1
% 11.65/12.01 , s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Oordered__ab__group__add' [140, 1] (w:1, o:58, a:
% 11.65/12.01 1, s:1, b:0),
% 11.65/12.01 'class_RealVector_Ometric__space' [141, 1] (w:1, o:117, a:1, s:1, b:0
% 11.65/12.01 ),
% 11.65/12.01 'v_b' [143, 0] (w:1, o:50, a:1, s:1, b:0),
% 11.65/12.01 'v_sko__local__XIH__1' [144, 2] (w:1, o:152, a:1, s:1, b:0),
% 11.65/12.01 'class_Ring__and__Field_Opordered__ring' [145, 1] (w:1, o:118, a:1
% 11.65/12.01 , s:1, b:0),
% 11.65/12.01 'class_RealVector_Oreal__field' [146, 1] (w:1, o:119, a:1, s:1, b:0)
% 11.65/12.01 ,
% 11.65/12.01 'class_Orderings_Oorder' [149, 1] (w:1, o:98, a:1, s:1, b:0),
% 11.65/12.01 'class_Orderings_Opreorder' [150, 1] (w:1, o:99, a:1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [151, 1]
% 11.65/12.01 (w:1, o:100, a:1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [152, 1]
% 11.65/12.01 (w:1, o:101, a:1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Ocancel__semigroup__add' [154, 1] (w:1, o:102, a:
% 11.65/12.01 1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Ocancel__ab__semigroup__add' [155, 1] (w:1, o:103
% 11.65/12.01 , a:1, s:1, b:0),
% 11.65/12.01 'class_OrderedGroup_Oab__semigroup__add' [158, 1] (w:1, o:104, a:1
% 11.65/12.01 , s:1, b:0),
% 11.65/12.01 'v_m____' [159, 0] (w:1, o:47, a:1, s:1, b:0).
% 11.65/12.01
% 11.65/12.01
% 11.65/12.01 Starting Search:
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01
% 11.65/12.01 Intermediate Status:
% 11.65/12.01 Generated: 4729
% 11.65/12.01 Kept: 2084
% 11.65/12.01 Inuse: 143
% 11.65/12.01 Deleted: 3
% 11.65/12.01 Deletedinuse: 0
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01
% 11.65/12.01 Intermediate Status:
% 11.65/12.01 Generated: 11931
% 11.65/12.01 Kept: 4101
% 11.65/12.01 Inuse: 222
% 11.65/12.01 Deleted: 4
% 11.65/12.01 Deletedinuse: 0
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01
% 11.65/12.01 Intermediate Status:
% 11.65/12.01 Generated: 20006
% 11.65/12.01 Kept: 6104
% 11.65/12.01 Inuse: 311
% 11.65/12.01 Deleted: 4
% 11.65/12.01 Deletedinuse: 0
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01
% 11.65/12.01 Intermediate Status:
% 11.65/12.01 Generated: 33387
% 11.65/12.01 Kept: 8159
% 11.65/12.01 Inuse: 384
% 11.65/12.01 Deleted: 6
% 11.65/12.01 Deletedinuse: 0
% 11.65/12.01
% 11.65/12.01 Resimplifying inuse:
% 11.65/12.01 Done
% 11.65/12.01
% 11.65/12.01
% 11.65/12.01 Intermediate Status:
% 11.65/12.01 Generated: 41827
% 11.65/12.01 Kept: 10811
% 11.65/12.01 Inuse: 405
% 11.65/12.01 Deleted: 6
% 11.65/12.01 Deletedinuse: 0
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 54873
% 50.44/50.83 Kept: 12891
% 50.44/50.83 Inuse: 430
% 50.44/50.83 Deleted: 6
% 50.44/50.83 Deletedinuse: 0
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 65885
% 50.44/50.83 Kept: 14898
% 50.44/50.83 Inuse: 483
% 50.44/50.83 Deleted: 8
% 50.44/50.83 Deletedinuse: 1
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 78067
% 50.44/50.83 Kept: 17424
% 50.44/50.83 Inuse: 522
% 50.44/50.83 Deleted: 10
% 50.44/50.83 Deletedinuse: 1
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 91746
% 50.44/50.83 Kept: 19823
% 50.44/50.83 Inuse: 551
% 50.44/50.83 Deleted: 11
% 50.44/50.83 Deletedinuse: 1
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying clauses:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 100467
% 50.44/50.83 Kept: 21917
% 50.44/50.83 Inuse: 571
% 50.44/50.83 Deleted: 418
% 50.44/50.83 Deletedinuse: 1
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 111798
% 50.44/50.83 Kept: 24325
% 50.44/50.83 Inuse: 601
% 50.44/50.83 Deleted: 418
% 50.44/50.83 Deletedinuse: 1
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 127571
% 50.44/50.83 Kept: 26359
% 50.44/50.83 Inuse: 626
% 50.44/50.83 Deleted: 418
% 50.44/50.83 Deletedinuse: 1
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 153671
% 50.44/50.83 Kept: 29295
% 50.44/50.83 Inuse: 656
% 50.44/50.83 Deleted: 420
% 50.44/50.83 Deletedinuse: 3
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 166351
% 50.44/50.83 Kept: 31563
% 50.44/50.83 Inuse: 686
% 50.44/50.83 Deleted: 420
% 50.44/50.83 Deletedinuse: 3
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 180655
% 50.44/50.83 Kept: 33589
% 50.44/50.83 Inuse: 696
% 50.44/50.83 Deleted: 420
% 50.44/50.83 Deletedinuse: 3
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 193202
% 50.44/50.83 Kept: 35641
% 50.44/50.83 Inuse: 716
% 50.44/50.83 Deleted: 420
% 50.44/50.83 Deletedinuse: 3
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 209284
% 50.44/50.83 Kept: 37852
% 50.44/50.83 Inuse: 746
% 50.44/50.83 Deleted: 421
% 50.44/50.83 Deletedinuse: 4
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 224338
% 50.44/50.83 Kept: 40623
% 50.44/50.83 Inuse: 766
% 50.44/50.83 Deleted: 421
% 50.44/50.83 Deletedinuse: 4
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying clauses:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 233929
% 50.44/50.83 Kept: 42746
% 50.44/50.83 Inuse: 771
% 50.44/50.83 Deleted: 908
% 50.44/50.83 Deletedinuse: 4
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 254760
% 50.44/50.83 Kept: 45025
% 50.44/50.83 Inuse: 776
% 50.44/50.83 Deleted: 908
% 50.44/50.83 Deletedinuse: 4
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 271269
% 50.44/50.83 Kept: 47478
% 50.44/50.83 Inuse: 791
% 50.44/50.83 Deleted: 908
% 50.44/50.83 Deletedinuse: 4
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 288867
% 50.44/50.83 Kept: 50088
% 50.44/50.83 Inuse: 846
% 50.44/50.83 Deleted: 908
% 50.44/50.83 Deletedinuse: 4
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 299702
% 50.44/50.83 Kept: 54541
% 50.44/50.83 Inuse: 856
% 50.44/50.83 Deleted: 908
% 50.44/50.83 Deletedinuse: 4
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 309618
% 50.44/50.83 Kept: 56933
% 50.44/50.83 Inuse: 876
% 50.44/50.83 Deleted: 985
% 50.44/50.83 Deletedinuse: 81
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 319002
% 50.44/50.83 Kept: 59001
% 50.44/50.83 Inuse: 896
% 50.44/50.83 Deleted: 985
% 50.44/50.83 Deletedinuse: 81
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 329037
% 50.44/50.83 Kept: 61036
% 50.44/50.83 Inuse: 918
% 50.44/50.83 Deleted: 986
% 50.44/50.83 Deletedinuse: 82
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying clauses:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 335582
% 50.44/50.83 Kept: 63212
% 50.44/50.83 Inuse: 941
% 50.44/50.83 Deleted: 4644
% 50.44/50.83 Deletedinuse: 82
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 342865
% 50.44/50.83 Kept: 65219
% 50.44/50.83 Inuse: 965
% 50.44/50.83 Deleted: 4645
% 50.44/50.83 Deletedinuse: 83
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 348498
% 50.44/50.83 Kept: 67238
% 50.44/50.83 Inuse: 986
% 50.44/50.83 Deleted: 4645
% 50.44/50.83 Deletedinuse: 83
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83 Resimplifying inuse:
% 50.44/50.83 Done
% 50.44/50.83
% 50.44/50.83
% 50.44/50.83 Intermediate Status:
% 50.44/50.83 Generated: 356416
% 128.51/128.92 Kept: 69529
% 128.51/128.92 Inuse: 1011
% 128.51/128.92 Deleted: 4645
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 365053
% 128.51/128.92 Kept: 71533
% 128.51/128.92 Inuse: 1032
% 128.51/128.92 Deleted: 4645
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 375545
% 128.51/128.92 Kept: 73547
% 128.51/128.92 Inuse: 1053
% 128.51/128.92 Deleted: 4645
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 385697
% 128.51/128.92 Kept: 75743
% 128.51/128.92 Inuse: 1076
% 128.51/128.92 Deleted: 4645
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 397009
% 128.51/128.92 Kept: 77743
% 128.51/128.92 Inuse: 1092
% 128.51/128.92 Deleted: 4645
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 426789
% 128.51/128.92 Kept: 81399
% 128.51/128.92 Inuse: 1131
% 128.51/128.92 Deleted: 4645
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 441404
% 128.51/128.92 Kept: 83892
% 128.51/128.92 Inuse: 1141
% 128.51/128.92 Deleted: 4645
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying clauses:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 459160
% 128.51/128.92 Kept: 88198
% 128.51/128.92 Inuse: 1181
% 128.51/128.92 Deleted: 5032
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 472220
% 128.51/128.92 Kept: 90207
% 128.51/128.92 Inuse: 1218
% 128.51/128.92 Deleted: 5032
% 128.51/128.92 Deletedinuse: 83
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 480505
% 128.51/128.92 Kept: 92348
% 128.51/128.92 Inuse: 1226
% 128.51/128.92 Deleted: 5033
% 128.51/128.92 Deletedinuse: 84
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 494743
% 128.51/128.92 Kept: 94708
% 128.51/128.92 Inuse: 1266
% 128.51/128.92 Deleted: 5035
% 128.51/128.92 Deletedinuse: 86
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 519735
% 128.51/128.92 Kept: 97724
% 128.51/128.92 Inuse: 1311
% 128.51/128.92 Deleted: 5036
% 128.51/128.92 Deletedinuse: 87
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 539724
% 128.51/128.92 Kept: 100877
% 128.51/128.92 Inuse: 1326
% 128.51/128.92 Deleted: 5036
% 128.51/128.92 Deletedinuse: 87
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 555576
% 128.51/128.92 Kept: 103341
% 128.51/128.92 Inuse: 1346
% 128.51/128.92 Deleted: 5037
% 128.51/128.92 Deletedinuse: 88
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 569114
% 128.51/128.92 Kept: 105993
% 128.51/128.92 Inuse: 1356
% 128.51/128.92 Deleted: 5037
% 128.51/128.92 Deletedinuse: 88
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying clauses:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 584595
% 128.51/128.92 Kept: 108011
% 128.51/128.92 Inuse: 1380
% 128.51/128.92 Deleted: 5835
% 128.51/128.92 Deletedinuse: 88
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 599008
% 128.51/128.92 Kept: 110081
% 128.51/128.92 Inuse: 1421
% 128.51/128.92 Deleted: 5835
% 128.51/128.92 Deletedinuse: 88
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 610370
% 128.51/128.92 Kept: 113359
% 128.51/128.92 Inuse: 1436
% 128.51/128.92 Deleted: 5836
% 128.51/128.92 Deletedinuse: 89
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 619677
% 128.51/128.92 Kept: 115371
% 128.51/128.92 Inuse: 1461
% 128.51/128.92 Deleted: 5836
% 128.51/128.92 Deletedinuse: 89
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 629625
% 128.51/128.92 Kept: 117815
% 128.51/128.92 Inuse: 1471
% 128.51/128.92 Deleted: 5836
% 128.51/128.92 Deletedinuse: 89
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 638984
% 128.51/128.92 Kept: 119856
% 128.51/128.92 Inuse: 1491
% 128.51/128.92 Deleted: 5836
% 128.51/128.92 Deletedinuse: 89
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 648119
% 128.51/128.92 Kept: 122092
% 128.51/128.92 Inuse: 1511
% 128.51/128.92 Deleted: 5836
% 128.51/128.92 Deletedinuse: 89
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 706486
% 128.51/128.92 Kept: 125009
% 128.51/128.92 Inuse: 1521
% 128.51/128.92 Deleted: 5836
% 128.51/128.92 Deletedinuse: 89
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92 Resimplifying clauses:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 722083
% 128.51/128.92 Kept: 129827
% 128.51/128.92 Inuse: 1544
% 128.51/128.92 Deleted: 6815
% 128.51/128.92 Deletedinuse: 89
% 128.51/128.92
% 128.51/128.92 Resimplifying inuse:
% 128.51/128.92 Done
% 128.51/128.92
% 128.51/128.92
% 128.51/128.92 Intermediate Status:
% 128.51/128.92 Generated: 736431
% 128.51/128.92 Kept: 132148
% 128.51/128.92 Inuse: 1553
% 128.51/128.92 Deleted: 6Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------