TSTP Solution File: SWV611-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV611-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:07 EDT 2022
% Result : Timeout 300.05s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWV611-1 : TPTP v8.1.0. Released v4.1.0.
% 0.02/0.10 % Command : bliksem %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Thu Jun 16 00:12:29 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 *** allocated 15000 integers for termspace/termends
% 0.78/1.18 *** allocated 22500 integers for termspace/termends
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18 [
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.18 , T, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.18 , Z, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.18 , T, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.18 , Z, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.18 , T, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.78/1.18 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.78/1.18 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.78/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.78/1.18 W, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.78/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.78/1.18 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.78/1.18 , X ), T, X ), W, X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.78/1.18 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.78/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.78/1.18 W, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.78/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.78/1.18 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.78/1.18 , X ), W, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.78/1.18 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.78/1.18 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.78/1.18 ,
% 0.78/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.78/1.18 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.78/1.18 , X ) ) ],
% 0.78/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.78/1.18 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.78/1.18 , X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.78/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.18 , Z, X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.78/1.18 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.78/1.18 ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.18 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.78/1.18 X ), T, X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.78/1.18 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.78/1.18 ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.18 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.78/1.18 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.78/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.78/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.78/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.78/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.78/1.18 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.82/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.18 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.18 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.18 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.18 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.82/1.18 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.82/1.18 Y, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 Y, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.82/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.82/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.82/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.82/1.18 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.18 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.82/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.82/1.18 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.82/1.18 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.82/1.18 , Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.18 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.18 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.82/1.18 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.18 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.82/1.18 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.82/1.18 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.82/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.82/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.82/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.82/1.18 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.18 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.82/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.82/1.18 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.18 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.18 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.82/1.18 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.82/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.82/1.18 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.82/1.18 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.82/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.82/1.18 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.18 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.18 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.18 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.18 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.18 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.18 Y, X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.18 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.18 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.18 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.82/1.18 Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.82/1.18 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.18 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.82/1.18 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.18 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.18 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.18 Y, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.82/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.82/1.18 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.82/1.18 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.82/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.82/1.18 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.82/1.18 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.82/1.18 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.82/1.18 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.82/1.18 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.82/1.18 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.82/1.18 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.82/1.18 ) ],
% 0.82/1.18 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.82/1.18 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.82/1.18 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.82/1.18 ) ],
% 0.82/1.18 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.82/1.18 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.82/1.18 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.82/1.18 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ) ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.82/1.18 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.82/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.82/1.18 , X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.82/1.18 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.82/1.18 , X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.82/1.18 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.18 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.18 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.82/1.18 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.82/1.18 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.18 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.82/1.18 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.82/1.18 , X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Z, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.18 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.18 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.18 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.18 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.18 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.82/1.18 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.18 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.18 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.18 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.18 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Z, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Z, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.18 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.18 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Y, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Y, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.18 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.82/1.18 , X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.18 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.82/1.18 , X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.18 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.82/1.18 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.82/1.18 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.82/1.18 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.82/1.18 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.18 ), Y ) ],
% 0.82/1.18 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.18 ), Y ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.18 ), Y ) ],
% 0.82/1.18 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.82/1.18 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.82/1.18 ), Y ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.18 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.82/1.18 ],
% 0.82/1.18 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.18 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.82/1.18 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.82/1.18 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.18 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.82/1.18 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.82/1.18 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.18 , U, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.18 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 ) ), =( Y, Z ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 ) ), =( Y, Z ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 0.82/1.18 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.82/1.18 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.82/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.82/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.82/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.82/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.18 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.18 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.18 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.18 , T, X ) ) ), =( Y, Z ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.82/1.18 , T, X ) ) ), =( Z, T ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.82/1.18 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.82/1.18 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.18 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.18 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.82/1.18 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.82/1.18 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.82/1.18 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.18 ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.82/1.18 ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.18 ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.82/1.18 ), X ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.82/1.18 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.18 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.82/1.18 ) ) ],
% 0.82/1.18 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.82/1.18 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.82/1.18 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.82/1.18 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.18 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.18 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.82/1.18 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.82/1.18 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.18 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.82/1.18 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.18 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.18 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.18 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.82/1.18 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.18 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.18 ), X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.18 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.18 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.82/1.18 ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.18 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.82/1.18 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.18 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.82/1.18 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.82/1.18 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.82/1.18 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.82/1.18 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.18 , Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.18 , T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.18 , T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.18 , Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.82/1.18 ,
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.18 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.18 X ), T, X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.18 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.82/1.18 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.82/1.18 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.82/1.18 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.18 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.82/1.18 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.82/1.18 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.82/1.18 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.82/1.18 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.82/1.18 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.82/1.18 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.18 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 0.82/1.18 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.18 , T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.82/1.18 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.82/1.18 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.18 , T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.18 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.18 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.82/1.18 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.18 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.82/1.18 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.82/1.18 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.18 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.18 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.18 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.18 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.18 , X ), X ), X ) ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.18 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.18 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.18 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.18 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.82/1.18 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.18 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.18 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.18 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.82/1.18 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.82/1.19 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.82/1.19 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.82/1.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.82/1.19 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.82/1.19 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.82/1.19 ), Y ) ],
% 0.82/1.19 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.82/1.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.19 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.82/1.19 , X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.82/1.19 ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.19 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.82/1.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.19 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.82/1.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.82/1.19 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.82/1.19 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.19 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.82/1.19 , X ), T, X ), W, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.82/1.19 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.19 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.82/1.19 , X ), W, X ), X ) ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.82/1.19 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.19 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.82/1.19 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.19 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.19 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.19 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.82/1.19 Z, T, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.19 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.82/1.19 , X ) ) ), =( Y, Z ) ],
% 0.82/1.19 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.82/1.19 , X ) ) ), =( Y, Z ) ],
% 0.82/1.19 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.82/1.19 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.82/1.19 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.82/1.19 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.82/1.19 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.82/1.19 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.82/1.19 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.19 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.82/1.19 X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.19 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.19 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.82/1.19 X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.19 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.82/1.19 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.82/1.19 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.82/1.19 ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.82/1.19 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.82/1.19 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.19 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.82/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.19 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.19 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.82/1.19 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.19 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.82/1.19 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.82/1.19 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.82/1.19 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.19 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.19 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.82/1.19 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.82/1.19 ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.82/1.19 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.82/1.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.82/1.19 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.82/1.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.82/1.19 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.82/1.19 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 0.82/1.19 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.82/1.19 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.19 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.19 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.82/1.19 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.19 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.82/1.19 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.82/1.19 ],
% 0.82/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.82/1.19 ],
% 0.82/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.82/1.19 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.19 Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , T, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , T, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.82/1.19 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.82/1.19 ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.82/1.19 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.82/1.19 ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.82/1.19 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , Z, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.82/1.19 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , Z, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.82/1.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.82/1.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.82/1.19 , Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.82/1.19 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.82/1.19 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.19 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.19 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.19 X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.19 Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.82/1.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.19 Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.82/1.19 X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.82/1.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.82/1.19 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.82/1.19 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.82/1.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.82/1.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.82/1.19 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.82/1.19 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.82/1.19 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.82/1.19 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.82/1.19 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.82/1.19 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), T, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.82/1.19 X ), X ) ) ],
% 0.82/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.19 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.19 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.82/1.19 X ) ) ), =( Z, T ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.82/1.19 X ) ) ), =( Z, T ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.82/1.19 X ) ) ), =( Y, T ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.19 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.82/1.19 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.19 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.82/1.19 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.82/1.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.82/1.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.82/1.19 ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.19 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.82/1.19 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.82/1.19 , X ), W, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.82/1.19 X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.82/1.19 X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.82/1.19 X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.19 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.19 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.82/1.19 ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.82/1.19 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.82/1.19 ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.82/1.19 ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.82/1.19 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.19 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.82/1.19 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.82/1.19 X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.82/1.19 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.82/1.19 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.82/1.19 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.82/1.19 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.19 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.82/1.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.82/1.19 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.82/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.82/1.19 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.82/1.19 ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.82/1.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.82/1.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.82/1.19 'c_lessequals'( Z, Y, X ) ],
% 0.82/1.19 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.82/1.19 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.82/1.19 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.82/1.19 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.82/1.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.82/1.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.82/1.19 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.82/1.19 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.82/1.19 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.82/1.19 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 0.82/1.19 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.82/1.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.82/1.19 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.82/1.19 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.82/1.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.82/1.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'(
% 0.82/1.19 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.19 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.19 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.19 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.19 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.82/1.19 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.19 , Y, X ) ) ],
% 0.82/1.19 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.82/1.19 , X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.19 , Y, X ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.82/1.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 0.82/1.19 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.82/1.19 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 0.82/1.19 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.82/1.19 ), Y ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.82/1.19 ), Y ) ],
% 0.82/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.82/1.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.82/1.19 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.82/1.19 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 0.82/1.19 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.82/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.19 X ), T, X ) ) ],
% 0.82/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.82/1.19 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.82/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.82/1.19 T, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.82/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.82/1.19 X ), T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.82/1.19 T, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.82/1.19 X ), Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.82/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.82/1.19 T, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.82/1.19 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.82/1.19 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.19 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.82/1.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.82/1.19 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.19 ), =( Z, Y ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.19 ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.19 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.19 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 0.82/1.19 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 0.82/1.19 ) ) ), =( X, Y ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 0.82/1.19 , X ), Y ) ],
% 0.82/1.19 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 0.82/1.19 , X ), Y ) ],
% 0.82/1.19 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.19 , Y, X ) ) ],
% 0.82/1.19 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.82/1.19 , Y, X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.82/1.19 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.19 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.19 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.82/1.19 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.82/1.19 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 0.82/1.19 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.82/1.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.82/1.19 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 Y, T, X ), Z, X ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.82/1.19 ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.82/1.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.82/1.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 0.82/1.19 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 0.82/1.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.82/1.19 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 0.82/1.19 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.82/1.19 'v_k', 'tc_nat' ) ],
% 0.82/1.19 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.82/1.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.82/1.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.82/1.19 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.82/1.19 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.82/1.19 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.82/1.19 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.82/1.19 ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.82/1.19 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.82/1.19 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.82/1.19 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.82/1.19 ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ,
% 0.82/1.19 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.82/1.19 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 0.82/1.19 ] .
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 percentage equality = 0.168277, percentage horn = 0.865014
% 0.82/1.19 This is a problem with some equality
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19
% 0.82/1.19 Options Used:
% 0.82/1.19
% 0.82/1.19 useres = 1
% 0.82/1.19 useparamod = 1
% 0.82/1.19 useeqrefl = 1
% 0.82/1.19 useeqfact = 1
% 0.82/1.19 usefactor = 1
% 0.82/1.19 usesimpsplitting = 0
% 0.82/1.19 usesimpdemod = 5
% 0.82/1.19 usesimpres = 3
% 0.82/1.19
% 0.82/1.19 resimpinuse = 1000
% 0.82/1.19 resimpclauses = 20000
% 0.82/1.19 substype = eqrewr
% 0.82/1.19 backwardsubs = 1
% 0.82/1.19 selectoldest = 5
% 0.82/1.19
% 0.82/1.19 litorderings [0] = split
% 0.82/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.19
% 0.82/1.19 termordering = kbo
% 0.82/1.19
% 0.82/1.19 litapriori = 0
% 0.82/1.19 termapriori = 1
% 0.82/1.19 litaposteriori = 0
% 0.82/1.19 termaposteriori = 0
% 0.82/1.19 demodaposteriori = 0
% 0.82/1.19 ordereqreflfact = 0
% 0.82/1.19
% 0.82/1.19 litselect = negord
% 0.82/1.19
% 0.82/1.19 maxweight = 15
% 0.82/1.19 maxdepth = 30000
% 0.82/1.19 maxlength = 115
% 0.82/1.19 maxnrvars = 195
% 0.82/1.19 excuselevel = 1
% 0.82/1.19 increasemaxweight = 1
% 0.82/1.19
% 0.82/1.19 maxselected = 10000000
% 0.82/1.19 maxnrclauses = 10000000
% 0.82/1.19
% 0.82/1.19 showgenerated = 0
% 0.82/1.19 showkept = 0
% 0.82/1.19 showselected = 0
% 0.82/1.19 showdeleted = 0
% 2.54/2.90 showresimp = 1
% 2.54/2.90 showstatus = 2000
% 2.54/2.90
% 2.54/2.90 prologoutput = 1
% 2.54/2.90 nrgoals = 5000000
% 2.54/2.90 totalproof = 1
% 2.54/2.90
% 2.54/2.90 Symbols occurring in the translation:
% 2.54/2.90
% 2.54/2.90 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.54/2.90 . [1, 2] (w:1, o:121, a:1, s:1, b:0),
% 2.54/2.90 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 2.54/2.90 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.54/2.90 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Oordered__semiring__strict' [40, 1] (w:1, o:
% 2.54/2.90 64, a:1, s:1, b:0),
% 2.54/2.90 'c_lessequals' [43, 3] (w:1, o:150, a:1, s:1, b:0),
% 2.54/2.90 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.54/2.90 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:151, a:1, s:1, b:0),
% 2.54/2.90 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:152, a:1, s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Oordered__semiring' [49, 1] (w:1, o:66, a:1
% 2.54/2.90 , s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Oordered__ring__strict' [50, 1] (w:1, o:63
% 2.54/2.90 , a:1, s:1, b:0),
% 2.54/2.90 'c_HOL_Oplus__class_Oplus' [53, 3] (w:1, o:153, a:1, s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Opordered__ring' [54, 1] (w:1, o:71, a:1, s:1
% 2.54/2.90 , b:0),
% 2.54/2.90 'c_HOL_Ominus__class_Ominus' [55, 3] (w:1, o:154, a:1, s:1, b:0),
% 2.54/2.90 'class_OrderedGroup_Opordered__ab__group__add' [57, 1] (w:1, o:73, a:
% 2.54/2.90 1, s:1, b:0),
% 2.54/2.90 'c_HOL_Ouminus__class_Ouminus' [58, 2] (w:1, o:146, a:1, s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Oring' [59, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Oring__no__zero__divisors' [60, 1] (w:1, o:75
% 2.54/2.90 , a:1, s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Omult__zero' [61, 1] (w:1, o:76, a:1, s:1, b:
% 2.54/2.90 0),
% 2.54/2.90 'class_Ring__and__Field_Ocomm__semiring__1' [62, 1] (w:1, o:77, a:1
% 2.54/2.90 , s:1, b:0),
% 2.54/2.90 'class_RealVector_Oreal__normed__algebra' [63, 1] (w:1, o:78, a:1, s:
% 2.54/2.90 1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Oidom' [64, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.54/2.90 'class_Int_Onumber__ring' [65, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.54/2.90 'class_OrderedGroup_Omonoid__mult' [68, 1] (w:1, o:82, a:1, s:1, b:0)
% 2.54/2.90 ,
% 2.54/2.90 'c_Power_Opower__class_Opower' [70, 3] (w:1, o:155, a:1, s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Ocomm__semiring' [73, 1] (w:1, o:83, a:1, s:1
% 2.54/2.90 , b:0),
% 2.54/2.90 'class_OrderedGroup_Ocomm__monoid__mult' [77, 1] (w:1, o:84, a:1, s:1
% 2.54/2.90 , b:0),
% 2.54/2.90 'class_Ring__and__Field_Ono__zero__divisors' [79, 1] (w:1, o:62, a:1
% 2.54/2.90 , s:1, b:0),
% 2.54/2.90 'class_Ring__and__Field_Osemiring' [80, 1] (w:1, o:86, a:1, s:1, b:0)
% 2.54/2.90 ,
% 2.54/2.90 'class_Ring__and__Field_Oordered__field' [81, 1] (w:1, o:67, a:1, s:1
% 2.54/2.90 , b:0),
% 2.54/2.90 'c_HOL_Oinverse__class_Odivide' [82, 3] (w:1, o:156, a:1, s:1, b:0),
% 2.54/2.90
% 2.54/2.90 'class_Ring__and__Field_Odivision__by__zero' [83, 1] (w:1, o:87, a:1
% 2.54/2.90 , s:1, b:0),
% 2.54/2.90 'c_Int_OBit0' [84, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.54/2.90 'c_Int_Onumber__class_Onumber__of' [85, 2] (w:1, o:147, a:1, s:1, b:0
% 2.54/2.90 ),
% 2.54/2.90 'class_Ring__and__Field_Ofield' [86, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.54/2.90 'class_RealVector_Oreal__field' [87, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.54/2.90 'class_RealVector_Oreal__normed__field' [89, 1] (w:1, o:91, a:1, s:1
% 2.54/2.90 , b:0),
% 2.54/2.90 'tc_RealDef_Oreal' [90, 0] (w:1, o:33, a:1, s:1, b:0),
% 2.54/2.90 'c_Transcendental_Oarctan' [91, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.54/2.90 'c_Transcendental_Opi' [94, 0] (w:1, o:36, a:1, s:1, b:0),
% 2.54/2.90 'class_Orderings_Olinorder' [95, 1] (w:1, o:93, a:1, s:1, b:0),
% 2.54/2.90 'class_Orderings_Opreorder' [96, 1] (w:1, o:95, a:1, s:1, b:0),
% 2.54/2.90 'class_Orderings_Oorder' [99, 1] (w:1, o:94, a:1, s:1, b:0),
% 2.54/2.90 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [100, 1]
% 2.54/2.90 (w:1, o:96, a:1, s:1, b:0),
% 2.54/2.90 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [101, 1]
% 2.54/2.90 (w:1, o:97, a:1, s:1, b:0),
% 2.54/2.90 'class_OrderedGroup_Oab__group__add' [102, 1] (w:1, o:98, a:1, s:1
% 2.54/2.90 , b:0),
% 2.54/2.90 'class_OrderedGroup_Ogroup__add' [103, 1] (w:1, o:99, a:1, s:1, b:0)
% 2.54/2.90 ,
% 2.54/2.90 'class_Lattices_Oboolean__algebra' [104, 1] (w:1, o:100, a:1, s:1, b:
% 2.54/2.90 0),
% 2.54/2.90 'class_OrderedGroup_Ocomm__monoid__add' [105, 1] (w:1, o:101, a:1, s:
% 2.54/2.90 1, b:0),
% 2.54/2.90 'class_OrderedGroup_Omonoid__add' [106, 1] (w:1, o:102, a:1, s:1, b:0
% 2.54/2.90 ),
% 2.54/2.90 'class_OrderedGroup_Opordered__comm__monoid__add' [108, 1] (w:1, o:
% 17.18/17.61 103, a:1, s:1, b:0),
% 17.18/17.61 'tc_nat' [109, 0] (w:1, o:38, a:1, s:1, b:0),
% 17.18/17.61 'c_RealDef_Oreal' [110, 2] (w:1, o:148, a:1, s:1, b:0),
% 17.18/17.61 'class_Ring__and__Field_Oordered__idom' [111, 1] (w:1, o:68, a:1, s:1
% 17.18/17.61 , b:0),
% 17.18/17.61 'class_Ring__and__Field_Oordered__semidom' [112, 1] (w:1, o:69, a:1
% 17.18/17.61 , s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Oab__semigroup__add' [113, 1] (w:1, o:104, a:1
% 17.18/17.61 , s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Olordered__ab__group__add' [114, 1] (w:1, o:81
% 17.18/17.61 , a:1, s:1, b:0),
% 17.18/17.61 'class_Int_Onumber' [115, 1] (w:1, o:105, a:1, s:1, b:0),
% 17.18/17.61 'class_Ring__and__Field_Oordered__comm__semiring__strict' [116, 1]
% 17.18/17.61 (w:1, o:70, a:1, s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Opordered__ab__semigroup__add' [118, 1] (w:1, o:
% 17.18/17.61 106, a:1, s:1, b:0),
% 17.18/17.61 'class_Ring__and__Field_Ozero__neq__one' [119, 1] (w:1, o:107, a:1
% 17.18/17.61 , s:1, b:0),
% 17.18/17.61 'class_Power_Opower' [120, 1] (w:1, o:112, a:1, s:1, b:0),
% 17.18/17.61 'class_Ring__and__Field_Oring__1__no__zero__divisors' [121, 1] (w:1
% 17.18/17.61 , o:85, a:1, s:1, b:0),
% 17.18/17.61 'class_Ring__and__Field_Omult__mono1' [122, 1] (w:1, o:60, a:1, s:1
% 17.18/17.61 , b:0),
% 17.18/17.61 'class_Ring__and__Field_Omult__mono' [123, 1] (w:1, o:61, a:1, s:1
% 17.18/17.61 , b:0),
% 17.18/17.61 'class_Ring__and__Field_Opordered__cancel__semiring' [125, 1] (w:1
% 17.18/17.61 , o:113, a:1, s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Oordered__ab__group__add' [126, 1] (w:1, o:72, a:
% 17.18/17.61 1, s:1, b:0),
% 17.18/17.61 'class_Ring__and__Field_Opordered__semiring' [127, 1] (w:1, o:114, a:
% 17.18/17.61 1, s:1, b:0),
% 17.18/17.61 'c_Int_OPls' [128, 0] (w:1, o:40, a:1, s:1, b:0),
% 17.18/17.61 hAPP [130, 2] (w:1, o:149, a:1, s:1, b:0),
% 17.18/17.61 'c_Int_OBit1' [131, 1] (w:1, o:115, a:1, s:1, b:0),
% 17.18/17.61 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1' [132, 1
% 17.18/17.61 ] (w:1, o:116, a:1, s:1, b:0),
% 17.18/17.61 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1' [133, 1]
% 17.18/17.61 (w:1, o:117, a:1, s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Ocancel__ab__semigroup__add' [137, 1] (w:1, o:108
% 17.18/17.61 , a:1, s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Ocancel__semigroup__add' [138, 1] (w:1, o:109, a:
% 17.18/17.61 1, s:1, b:0),
% 17.18/17.61 'c_FFT__Mirabelle_Oroot' [142, 1] (w:1, o:118, a:1, s:1, b:0),
% 17.18/17.61 'c_Complex_Ocis' [143, 1] (w:1, o:119, a:1, s:1, b:0),
% 17.18/17.61 'v_k' [144, 0] (w:1, o:50, a:1, s:1, b:0),
% 17.18/17.61 'v_n' [145, 0] (w:1, o:51, a:1, s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Oab__semigroup__mult' [152, 1] (w:1, o:110, a:1
% 17.18/17.61 , s:1, b:0),
% 17.18/17.61 'class_OrderedGroup_Oab__semigroup__idem__mult' [153, 1] (w:1, o:111
% 17.18/17.61 , a:1, s:1, b:0),
% 17.18/17.61 'class_Int_Oring__char__0' [154, 1] (w:1, o:120, a:1, s:1, b:0),
% 17.18/17.61 'tc_Int_Oint' [155, 0] (w:1, o:53, a:1, s:1, b:0),
% 17.18/17.61 'tc_Complex_Ocomplex' [156, 0] (w:1, o:54, a:1, s:1, b:0).
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Starting Search:
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 6027
% 17.18/17.61 Kept: 2559
% 17.18/17.61 Inuse: 164
% 17.18/17.61 Deleted: 2
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 13661
% 17.18/17.61 Kept: 5184
% 17.18/17.61 Inuse: 238
% 17.18/17.61 Deleted: 3
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 23847
% 17.18/17.61 Kept: 7252
% 17.18/17.61 Inuse: 308
% 17.18/17.61 Deleted: 3
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 41662
% 17.18/17.61 Kept: 9993
% 17.18/17.61 Inuse: 347
% 17.18/17.61 Deleted: 4
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 53734
% 17.18/17.61 Kept: 13260
% 17.18/17.61 Inuse: 432
% 17.18/17.61 Deleted: 4
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 72285
% 17.18/17.61 Kept: 16071
% 17.18/17.61 Inuse: 467
% 17.18/17.61 Deleted: 4
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 87869
% 17.18/17.61 Kept: 18072
% 17.18/17.61 Inuse: 505
% 17.18/17.61 Deleted: 4
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61
% 17.18/17.61 Intermediate Status:
% 17.18/17.61 Generated: 99333
% 17.18/17.61 Kept: 20644
% 17.18/17.61 Inuse: 532
% 17.18/17.61 Deleted: 4
% 17.18/17.61 Deletedinuse: 0
% 17.18/17.61
% 17.18/17.61 Resimplifying inuse:
% 17.18/17.61 Done
% 17.18/17.61
% 17.18/17.61 Resimplifying clauses:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 109557
% 61.42/61.83 Kept: 22780
% 61.42/61.83 Inuse: 592
% 61.42/61.83 Deleted: 360
% 61.42/61.83 Deletedinuse: 0
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 123945
% 61.42/61.83 Kept: 24828
% 61.42/61.83 Inuse: 672
% 61.42/61.83 Deleted: 360
% 61.42/61.83 Deletedinuse: 0
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 139083
% 61.42/61.83 Kept: 27250
% 61.42/61.83 Inuse: 712
% 61.42/61.83 Deleted: 360
% 61.42/61.83 Deletedinuse: 0
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 146358
% 61.42/61.83 Kept: 29579
% 61.42/61.83 Inuse: 713
% 61.42/61.83 Deleted: 361
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 162623
% 61.42/61.83 Kept: 34286
% 61.42/61.83 Inuse: 727
% 61.42/61.83 Deleted: 361
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 169110
% 61.42/61.83 Kept: 37108
% 61.42/61.83 Inuse: 732
% 61.42/61.83 Deleted: 361
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 180880
% 61.42/61.83 Kept: 39228
% 61.42/61.83 Inuse: 772
% 61.42/61.83 Deleted: 361
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying clauses:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 193939
% 61.42/61.83 Kept: 41911
% 61.42/61.83 Inuse: 807
% 61.42/61.83 Deleted: 662
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 208926
% 61.42/61.83 Kept: 44082
% 61.42/61.83 Inuse: 862
% 61.42/61.83 Deleted: 662
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 217885
% 61.42/61.83 Kept: 46124
% 61.42/61.83 Inuse: 892
% 61.42/61.83 Deleted: 662
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 226540
% 61.42/61.83 Kept: 48271
% 61.42/61.83 Inuse: 922
% 61.42/61.83 Deleted: 662
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 237023
% 61.42/61.83 Kept: 50438
% 61.42/61.83 Inuse: 957
% 61.42/61.83 Deleted: 662
% 61.42/61.83 Deletedinuse: 1
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 248582
% 61.42/61.83 Kept: 52477
% 61.42/61.83 Inuse: 980
% 61.42/61.83 Deleted: 673
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 259948
% 61.42/61.83 Kept: 55305
% 61.42/61.83 Inuse: 984
% 61.42/61.83 Deleted: 676
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 268846
% 61.42/61.83 Kept: 57537
% 61.42/61.83 Inuse: 1012
% 61.42/61.83 Deleted: 676
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 278702
% 61.42/61.83 Kept: 59545
% 61.42/61.83 Inuse: 1047
% 61.42/61.83 Deleted: 676
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying clauses:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 287940
% 61.42/61.83 Kept: 61559
% 61.42/61.83 Inuse: 1074
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 300634
% 61.42/61.83 Kept: 63815
% 61.42/61.83 Inuse: 1107
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 310577
% 61.42/61.83 Kept: 65960
% 61.42/61.83 Inuse: 1142
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 316439
% 61.42/61.83 Kept: 68044
% 61.42/61.83 Inuse: 1162
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 326050
% 61.42/61.83 Kept: 70127
% 61.42/61.83 Inuse: 1182
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 332686
% 61.42/61.83 Kept: 72417
% 61.42/61.83 Inuse: 1195
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 348444
% 61.42/61.83 Kept: 75146
% 61.42/61.83 Inuse: 1212
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 361805
% 61.42/61.83 Kept: 77350
% 61.42/61.83 Inuse: 1232
% 61.42/61.83 Deleted: 1226
% 61.42/61.83 Deletedinuse: 5
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83 Resimplifying inuse:
% 61.42/61.83 Done
% 61.42/61.83
% 61.42/61.83
% 61.42/61.83 Intermediate Status:
% 61.42/61.83 Generated: 381340
% 61.42/61.83 Kept: 81075
% 61.42/61.83 Inuse: 1257
% 134.83/135.28 Deleted: 1226
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying clauses:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 393854
% 134.83/135.28 Kept: 83345
% 134.83/135.28 Inuse: 1262
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 407926
% 134.83/135.28 Kept: 86338
% 134.83/135.28 Inuse: 1267
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 424823
% 134.83/135.28 Kept: 88374
% 134.83/135.28 Inuse: 1287
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 436261
% 134.83/135.28 Kept: 90561
% 134.83/135.28 Inuse: 1317
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 447258
% 134.83/135.28 Kept: 92575
% 134.83/135.28 Inuse: 1332
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 458308
% 134.83/135.28 Kept: 94637
% 134.83/135.28 Inuse: 1347
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 471899
% 134.83/135.28 Kept: 97070
% 134.83/135.28 Inuse: 1377
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 482178
% 134.83/135.28 Kept: 99091
% 134.83/135.28 Inuse: 1398
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 511126
% 134.83/135.28 Kept: 101755
% 134.83/135.28 Inuse: 1407
% 134.83/135.28 Deleted: 1544
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying clauses:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 528712
% 134.83/135.28 Kept: 104415
% 134.83/135.28 Inuse: 1417
% 134.83/135.28 Deleted: 1743
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 546583
% 134.83/135.28 Kept: 107104
% 134.83/135.28 Inuse: 1427
% 134.83/135.28 Deleted: 1743
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 552699
% 134.83/135.28 Kept: 109537
% 134.83/135.28 Inuse: 1429
% 134.83/135.28 Deleted: 1743
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 563410
% 134.83/135.28 Kept: 111545
% 134.83/135.28 Inuse: 1449
% 134.83/135.28 Deleted: 1743
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 576697
% 134.83/135.28 Kept: 113563
% 134.83/135.28 Inuse: 1476
% 134.83/135.28 Deleted: 1743
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 589491
% 134.83/135.28 Kept: 115916
% 134.83/135.28 Inuse: 1502
% 134.83/135.28 Deleted: 1743
% 134.83/135.28 Deletedinuse: 5
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 602946
% 134.83/135.28 Kept: 119254
% 134.83/135.28 Inuse: 1516
% 134.83/135.28 Deleted: 1747
% 134.83/135.28 Deletedinuse: 8
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 618951
% 134.83/135.28 Kept: 121280
% 134.83/135.28 Inuse: 1531
% 134.83/135.28 Deleted: 1747
% 134.83/135.28 Deletedinuse: 8
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying clauses:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 631792
% 134.83/135.28 Kept: 123477
% 134.83/135.28 Inuse: 1551
% 134.83/135.28 Deleted: 2352
% 134.83/135.28 Deletedinuse: 8
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 643022
% 134.83/135.28 Kept: 125525
% 134.83/135.28 Inuse: 1571
% 134.83/135.28 Deleted: 2352
% 134.83/135.28 Deletedinuse: 8
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 682993
% 134.83/135.28 Kept: 128528
% 134.83/135.28 Inuse: 1601
% 134.83/135.28 Deleted: 2352
% 134.83/135.28 Deletedinuse: 8
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 726379
% 134.83/135.28 Kept: 131802
% 134.83/135.28 Inuse: 1611
% 134.83/135.28 Deleted: 2352
% 134.83/135.28 Deletedinuse: 8
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 748636
% 134.83/135.28 Kept: 134976
% 134.83/135.28 Inuse: 1625
% 134.83/135.28 Deleted: 2354
% 134.83/135.28 Deletedinuse: 9
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 767371
% 134.83/135.28 Kept: 139083
% 134.83/135.28 Inuse: 1644
% 134.83/135.28 Deleted: 2354
% 134.83/135.28 Deletedinuse: 9
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28 Resimplifying inuse:
% 134.83/135.28 Done
% 134.83/135.28
% 134.83/135.28
% 134.83/135.28 Intermediate Status:
% 134.83/135.28 Generated: 780481
% 134.83/135.28 Kept: 141341
% 134.83/135.28 Inuse: 1660
% 134.83/135.28 Deleted: 2354
% 134.83/135.28 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying clauses:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 792082
% 283.02/283.57 Kept: 143481
% 283.02/283.57 Inuse: 1675
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 803135
% 283.02/283.57 Kept: 145655
% 283.02/283.57 Inuse: 1690
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 813273
% 283.02/283.57 Kept: 147739
% 283.02/283.57 Inuse: 1705
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 823407
% 283.02/283.57 Kept: 149836
% 283.02/283.57 Inuse: 1720
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 837682
% 283.02/283.57 Kept: 152236
% 283.02/283.57 Inuse: 1740
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 847491
% 283.02/283.57 Kept: 154250
% 283.02/283.57 Inuse: 1758
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 874258
% 283.02/283.57 Kept: 157769
% 283.02/283.57 Inuse: 1765
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 883568
% 283.02/283.57 Kept: 159863
% 283.02/283.57 Inuse: 1780
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 903062
% 283.02/283.57 Kept: 163123
% 283.02/283.57 Inuse: 1800
% 283.02/283.57 Deleted: 3064
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying clauses:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 920311
% 283.02/283.57 Kept: 165295
% 283.02/283.57 Inuse: 1815
% 283.02/283.57 Deleted: 3864
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 960310
% 283.02/283.57 Kept: 167857
% 283.02/283.57 Inuse: 1850
% 283.02/283.57 Deleted: 3864
% 283.02/283.57 Deletedinuse: 9
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 985820
% 283.02/283.57 Kept: 172225
% 283.02/283.57 Inuse: 1856
% 283.02/283.57 Deleted: 3865
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1021078
% 283.02/283.57 Kept: 175677
% 283.02/283.57 Inuse: 1865
% 283.02/283.57 Deleted: 3865
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1037700
% 283.02/283.57 Kept: 178115
% 283.02/283.57 Inuse: 1890
% 283.02/283.57 Deleted: 3865
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1058232
% 283.02/283.57 Kept: 181369
% 283.02/283.57 Inuse: 1910
% 283.02/283.57 Deleted: 3865
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1071179
% 283.02/283.57 Kept: 183506
% 283.02/283.57 Inuse: 1930
% 283.02/283.57 Deleted: 3865
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying clauses:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1083045
% 283.02/283.57 Kept: 185734
% 283.02/283.57 Inuse: 1950
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1095302
% 283.02/283.57 Kept: 187742
% 283.02/283.57 Inuse: 1973
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1108264
% 283.02/283.57 Kept: 189868
% 283.02/283.57 Inuse: 1995
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1122544
% 283.02/283.57 Kept: 191942
% 283.02/283.57 Inuse: 2000
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1139253
% 283.02/283.57 Kept: 194407
% 283.02/283.57 Inuse: 2025
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1156631
% 283.02/283.57 Kept: 197407
% 283.02/283.57 Inuse: 2040
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1178399
% 283.02/283.57 Kept: 200512
% 283.02/283.57 Inuse: 2050
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 Deletedinuse: 10
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57 Resimplifying inuse:
% 283.02/283.57 Done
% 283.02/283.57
% 283.02/283.57
% 283.02/283.57 Intermediate Status:
% 283.02/283.57 Generated: 1190813
% 283.02/283.57 Kept: 202579
% 283.02/283.57 Inuse: 2070
% 283.02/283.57 Deleted: 4315
% 283.02/283.57 DelCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------