TSTP Solution File: ALG369-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG369-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:33 EDT 2022
% Result : Timeout 300.03s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : ALG369-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.15 % Command : bliksem %s
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % DateTime : Wed Jun 8 15:51:36 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.99/1.38 *** allocated 10000 integers for termspace/termends
% 0.99/1.38 *** allocated 10000 integers for clauses
% 0.99/1.38 *** allocated 10000 integers for justifications
% 0.99/1.38 *** allocated 15000 integers for termspace/termends
% 0.99/1.38 Bliksem 1.12
% 0.99/1.38
% 0.99/1.38
% 0.99/1.38 Automatic Strategy Selection
% 0.99/1.38
% 0.99/1.38 Clauses:
% 0.99/1.38 [
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.38 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.38 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.99/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.38 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.99/1.38 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.38 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.99/1.38 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.38 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.38 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.99/1.38 X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Z, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Z, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.99/1.38 X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Y, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Y, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.99/1.38 , X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.38 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.99/1.38 , X ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.99/1.38 ) ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.38 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.99/1.38 ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.99/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.38 ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 X ), T, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.99/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.99/1.38 ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.38 , T, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.38 , T, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.38 , T, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.38 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.38 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.38 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.38 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.38 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.38 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.38 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.38 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.38 ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.38 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.99/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.99/1.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.99/1.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.38 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.38 X ) ) ],
% 0.99/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.99/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.38 ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.99/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.99/1.38 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.99/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.99/1.38 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.38 [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.38 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.38 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.99/1.38 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.38 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.99/1.38 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.99/1.38 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.38 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.38 Y, T, X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.99/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.99/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.99/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.99/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.99/1.38 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.99/1.38 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.38 ) ],
% 0.99/1.38 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.99/1.38 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.38 ],
% 0.99/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.99/1.38 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.99/1.38 ) ) ],
% 0.99/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.99/1.38 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.99/1.38 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.99/1.38 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.38 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.99/1.38 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.38 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.99/1.38 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.99/1.38 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.99/1.38 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.38 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.38 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.38 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.99/1.38 ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Y, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.38 , T, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.38 , T, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.38 , Y, X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.99/1.38 ,
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.99/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.99/1.38 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.99/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.99/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.99/1.39 ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.99/1.39 ],
% 0.99/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.99/1.39 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.39 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.39 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.99/1.39 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.39 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.39 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.99/1.39 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.99/1.39 ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.99/1.39 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.39 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.99/1.39 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.39 , Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.99/1.39 , Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.39 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.99/1.39 ), X ), Y ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.99/1.39 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.99/1.39 ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.99/1.39 , X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.99/1.39 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.99/1.39 =( Y, Z ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.99/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.99/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.99/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.99/1.39 ],
% 0.99/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.39 'c_Transcendental_Oexp'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 0.99/1.39 'c_RealVector_Oof__real'( 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal'
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.39 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.99/1.39 X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.39 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.39 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.99/1.39 X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.99/1.39 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.99/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.99/1.39 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.99/1.39 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.39 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.99/1.39 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.39 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.39 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.39 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.39 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.39 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ), T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.39 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.39 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.99/1.39 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.99/1.39 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.99/1.39 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.39 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.99/1.39 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.39 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.39 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.39 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.99/1.39 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.39 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.99/1.39 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.99/1.39 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.99/1.39 ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.99/1.39 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.99/1.39 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.99/1.39 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.99/1.39 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.39 ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.99/1.39 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 0.99/1.39 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.99/1.39 ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.99/1.39 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.99/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.39 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.99/1.39 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.99/1.39 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.99/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.99/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.39 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , T, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.39 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , T, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.39 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.39 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , Z, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.39 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , Z, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.99/1.39 , Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.99/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 Y, T, X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 Y, T, X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.99/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.99/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.99/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.39 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.39 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.39 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.39 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.99/1.39 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.99/1.39 T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.39 X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.99/1.39 T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.39 X ), T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.39 T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.99/1.39 X ), T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.99/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.99/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.39 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.99/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.99/1.39 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.99/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.39 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.39 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.99/1.39 X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.99/1.39 X ) ) ), =( Z, T ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.99/1.39 X ) ) ), =( Z, T ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.99/1.39 X ) ) ), =( Y, T ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.99/1.39 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.99/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.99/1.39 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.99/1.39 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.99/1.39 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.99/1.39 'tc_RealDef_Oreal' ) ), X ) ],
% 0.99/1.39 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.99/1.39 'tc_RealDef_Oreal' ) ), X ) ],
% 0.99/1.39 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.99/1.39 'tc_RealDef_Oreal' ) ), X ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.99/1.39 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.99/1.39 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.99/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.99/1.39 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.99/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.99/1.39 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.99/1.39 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 0.99/1.39 'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 0.99/1.39 ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.39 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.99/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.99/1.39 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.99/1.39 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.99/1.39 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.99/1.39 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.99/1.39 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.99/1.39 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.39 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.39 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.99/1.39 Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.99/1.39 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.99/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.99/1.39 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.99/1.39 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.39 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.99/1.39 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.99/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.99/1.39 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.99/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.99/1.39 Y, X ), X ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.99/1.39 'c_lessequals'( Z, Y, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.39 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ), T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.99/1.39 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.99/1.39 X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.99/1.39 Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.99/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.99/1.39 Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.99/1.39 X ), Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.99/1.39 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.99/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.99/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.99/1.39 ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.99/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.39 ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.99/1.39 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.99/1.39 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.99/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.99/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.99/1.39 ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Oln'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.39 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 0.99/1.39 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.99/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.99/1.39 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.99/1.39 ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 0.99/1.39 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.39 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.99/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ 'v_thesis____', ~( 'c_HOL_Oord__class_Oless'( X,
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'v_e', 'v_m____', 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.99/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.39 , Y, X ) ) ],
% 0.99/1.39 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.99/1.39 , Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.99/1.39 ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.99/1.39 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.99/1.39 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.99/1.39 , X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.39 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'v_e', 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.39 ), =( Z, Y ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.99/1.39 ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.39 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.39 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.99/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( 'v_e', 'v_m____',
% 0.99/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.99/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.99/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.99/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.99/1.39 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.99/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.99/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.99/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.99/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.99/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.99/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'v_m____', 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'v_sko__CHAINED__1'( 'v_e', 'v_m____' ),
% 0.99/1.39 'c_HOL_Oinverse__class_Odivide'( 'v_e', 'v_m____', 'tc_RealDef_Oreal' ),
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'v_sko__CHAINED__1'( 'v_e', 'v_m____' ),
% 0.99/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.99/1.39 'tc_RealDef_Oreal' ), 'v_sko__CHAINED__1'( 'v_e', 'v_m____' ),
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ ~( 'v_thesis____' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.99/1.39 ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.99/1.39 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.99/1.39 ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.99/1.39 ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.99/1.39 ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.99/1.39 ],
% 0.99/1.39 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ,
% 0.99/1.39 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.99/1.39 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ]
% 0.99/1.39 ] .
% 0.99/1.39
% 0.99/1.39
% 0.99/1.39 percentage equality = 0.154355, percentage horn = 0.810954
% 0.99/1.39 This is a problem with some equality
% 0.99/1.39
% 0.99/1.39
% 0.99/1.39
% 0.99/1.39 Options Used:
% 0.99/1.39
% 0.99/1.39 useres = 1
% 0.99/1.39 useparamod = 1
% 0.99/1.39 useeqrefl = 1
% 0.99/1.39 useeqfact = 1
% 0.99/1.39 usefactor = 1
% 0.99/1.39 usesimpsplitting = 0
% 0.99/1.39 usesimpdemod = 5
% 0.99/1.39 usesimpres = 3
% 0.99/1.39
% 0.99/1.39 resimpinuse = 1000
% 0.99/1.39 resimpclauses = 20000
% 0.99/1.39 substype = eqrewr
% 0.99/1.39 backwardsubs = 1
% 0.99/1.39 selectoldest = 5
% 0.99/1.39
% 0.99/1.39 litorderings [0] = split
% 0.99/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 0.99/1.39
% 0.99/1.39 termordering = kbo
% 0.99/1.39
% 0.99/1.39 litapriori = 0
% 0.99/1.39 termapriori = 1
% 0.99/1.39 litaposteriori = 0
% 0.99/1.39 termaposteriori = 0
% 0.99/1.39 demodaposteriori = 0
% 0.99/1.39 ordereqreflfact = 0
% 0.99/1.39
% 0.99/1.39 litselect = negord
% 0.99/1.39
% 0.99/1.39 maxweight = 15
% 0.99/1.39 maxdepth = 30000
% 0.99/1.39 maxlength = 115
% 0.99/1.39 maxnrvars = 195
% 0.99/1.39 excuselevel = 1
% 0.99/1.39 increasemaxweight = 1
% 0.99/1.39
% 0.99/1.39 maxselected = 10000000
% 0.99/1.39 maxnrclauses = 10000000
% 0.99/1.39
% 0.99/1.39 showgenerated = 0
% 0.99/1.39 showkept = 0
% 0.99/1.39 showselected = 0
% 0.99/1.39 showdeleted = 0
% 0.99/1.39 showresimp = 1
% 0.99/1.39 showstatus = 2000
% 0.99/1.39
% 0.99/1.39 prologoutput = 1
% 0.99/1.39 nrgoals = 5000000
% 0.99/1.39 totalproof = 1
% 0.99/1.39
% 0.99/1.39 Symbols occurring in the translation:
% 0.99/1.39
% 0.99/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.97/3.37 . [1, 2] (w:1, o:102, a:1, s:1, b:0),
% 2.97/3.37 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 2.97/3.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.97/3.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.97/3.37 'class_Orderings_Olinorder' [40, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.97/3.37 'c_lessequals' [43, 3] (w:1, o:134, a:1, s:1, b:0),
% 2.97/3.37 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:135, a:1, s:1, b:0),
% 2.97/3.37 'class_Orderings_Opreorder' [45, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.97/3.37 'class_Orderings_Oorder' [46, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oordered__ring__strict' [49, 1] (w:1, o:49
% 2.97/3.37 , a:1, s:1, b:0),
% 2.97/3.37 'c_HOL_Otimes__class_Otimes' [51, 3] (w:1, o:136, a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oordered__idom' [52, 1] (w:1, o:50, a:1, s:1
% 2.97/3.37 , b:0),
% 2.97/3.37 'c_HOL_Oabs__class_Oabs' [53, 2] (w:1, o:127, a:1, s:1, b:0),
% 2.97/3.37 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [54, 1]
% 2.97/3.37 (w:1, o:51, a:1, s:1, b:0),
% 2.97/3.37 'c_HOL_Oplus__class_Oplus' [55, 3] (w:1, o:137, a:1, s:1, b:0),
% 2.97/3.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [57, 1]
% 2.97/3.37 (w:1, o:52, a:1, s:1, b:0),
% 2.97/3.37 'c_HOL_Ozero__class_Ozero' [59, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oordered__semiring__strict' [60, 1] (w:1, o:
% 2.97/3.37 54, a:1, s:1, b:0),
% 2.97/3.37 'class_OrderedGroup_Ocomm__monoid__add' [61, 1] (w:1, o:55, a:1, s:1
% 2.97/3.37 , b:0),
% 2.97/3.37 'class_Ring__and__Field_Oordered__semiring' [62, 1] (w:1, o:56, a:1
% 2.97/3.37 , s:1, b:0),
% 2.97/3.37 'class_OrderedGroup_Opordered__comm__monoid__add' [63, 1] (w:1, o:57
% 2.97/3.37 , a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oordered__field' [64, 1] (w:1, o:58, a:1, s:1
% 2.97/3.37 , b:0),
% 2.97/3.37 'c_HOL_Oinverse__class_Oinverse' [65, 2] (w:1, o:128, a:1, s:1, b:0)
% 2.97/3.37 ,
% 2.97/3.37 'class_Ring__and__Field_Ocomm__semiring__1' [66, 1] (w:1, o:59, a:1
% 2.97/3.37 , s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oidom' [67, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.97/3.37 'class_Int_Onumber__ring' [68, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.97/3.37 'c_HOL_Oone__class_Oone' [69, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Odivision__ring' [70, 1] (w:1, o:64, a:1, s:1
% 2.97/3.37 , b:0),
% 2.97/3.37 'class_Ring__and__Field_Ofield' [71, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:66, a:1
% 2.97/3.37 , s:1, b:0),
% 2.97/3.37 'class_RealVector_Oreal__normed__vector' [73, 1] (w:1, o:67, a:1, s:1
% 2.97/3.37 , b:0),
% 2.97/3.37 'c_HOL_Osgn__class_Osgn' [74, 2] (w:1, o:129, a:1, s:1, b:0),
% 2.97/3.37 'c_RealVector_Onorm__class_Onorm' [75, 2] (w:1, o:130, a:1, s:1, b:0)
% 2.97/3.37 ,
% 2.97/3.37 'tc_RealDef_Oreal' [76, 0] (w:1, o:22, a:1, s:1, b:0),
% 2.97/3.37 'c_HOL_Oinverse__class_Odivide' [77, 3] (w:1, o:138, a:1, s:1, b:0),
% 2.97/3.37
% 2.97/3.37 'class_OrderedGroup_Omonoid__mult' [79, 1] (w:1, o:70, a:1, s:1, b:0)
% 2.97/3.37 ,
% 2.97/3.37 'class_OrderedGroup_Ocomm__monoid__mult' [80, 1] (w:1, o:71, a:1, s:1
% 2.97/3.37 , b:0),
% 2.97/3.37 'class_RealVector_Oreal__normed__algebra__1' [81, 1] (w:1, o:72, a:1
% 2.97/3.37 , s:1, b:0),
% 2.97/3.37 'class_RealVector_Oreal__normed__field' [82, 1] (w:1, o:73, a:1, s:1
% 2.97/3.37 , b:0),
% 2.97/3.37 'c_Transcendental_Oln' [84, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.97/3.37 'c_Transcendental_Oexp' [85, 2] (w:1, o:131, a:1, s:1, b:0),
% 2.97/3.37 'class_OrderedGroup_Opordered__ab__group__add__abs' [86, 1] (w:1, o:
% 2.97/3.37 75, a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oabs__if' [87, 1] (w:1, o:76, a:1, s:1, b:0)
% 2.97/3.37 ,
% 2.97/3.37 'class_OrderedGroup_Olordered__ab__group__add__abs' [88, 1] (w:1, o:
% 2.97/3.37 68, a:1, s:1, b:0),
% 2.97/3.37 'class_OrderedGroup_Olordered__ab__group__add' [89, 1] (w:1, o:69, a:
% 2.97/3.37 1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oordered__semidom' [90, 1] (w:1, o:77, a:1
% 2.97/3.37 , s:1, b:0),
% 2.97/3.37 'class_OrderedGroup_Omonoid__add' [91, 1] (w:1, o:78, a:1, s:1, b:0)
% 2.97/3.37 ,
% 2.97/3.37 'class_SEQ_Obanach' [92, 1] (w:1, o:93, a:1, s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Ono__zero__divisors' [93, 1] (w:1, o:48, a:1
% 2.97/3.37 , s:1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Oring__no__zero__divisors' [94, 1] (w:1, o:79
% 2.97/3.37 , a:1, s:1, b:0),
% 2.97/3.37 'class_RealVector_Oreal__normed__algebra' [95, 1] (w:1, o:80, a:1, s:
% 2.97/3.37 1, b:0),
% 2.97/3.37 'class_Ring__and__Field_Omult__zero' [96, 1] (w:1, o:45, a:1, s:1, b:
% 36.04/36.44 0),
% 36.04/36.44 'class_Ring__and__Field_Osgn__if' [97, 1] (w:1, o:81, a:1, s:1, b:0)
% 36.04/36.44 ,
% 36.04/36.44 'class_Ring__and__Field_Osemiring' [98, 1] (w:1, o:82, a:1, s:1, b:0)
% 36.04/36.44 ,
% 36.04/36.44 'class_OrderedGroup_Oab__semigroup__add' [100, 1] (w:1, o:94, a:1, s:
% 36.04/36.44 1, b:0),
% 36.04/36.44 'class_OrderedGroup_Oab__group__add' [101, 1] (w:1, o:95, a:1, s:1
% 36.04/36.44 , b:0),
% 36.04/36.44 'class_RealVector_Oreal__normed__div__algebra' [102, 1] (w:1, o:83
% 36.04/36.44 , a:1, s:1, b:0),
% 36.04/36.44 'class_Ring__and__Field_Olordered__ring' [103, 1] (w:1, o:44, a:1, s:
% 36.04/36.44 1, b:0),
% 36.04/36.44 'class_RealVector_Oreal__algebra__1' [104, 1] (w:1, o:84, a:1, s:1
% 36.04/36.44 , b:0),
% 36.04/36.44 'c_RealVector_Oof__real' [105, 2] (w:1, o:132, a:1, s:1, b:0),
% 36.04/36.44 'class_OrderedGroup_Opordered__ab__semigroup__add' [110, 1] (w:1, o:
% 36.04/36.44 96, a:1, s:1, b:0),
% 36.04/36.44 'class_Ring__and__Field_Opordered__ring__abs' [111, 1] (w:1, o:86, a:
% 36.04/36.44 1, s:1, b:0),
% 36.04/36.44 'class_OrderedGroup_Oab__semigroup__idem__mult' [112, 1] (w:1, o:97
% 36.04/36.44 , a:1, s:1, b:0),
% 36.04/36.44 'class_RealVector_Oreal__div__algebra' [113, 1] (w:1, o:87, a:1, s:1
% 36.04/36.44 , b:0),
% 36.04/36.44 'class_Ring__and__Field_Omult__mono1' [114, 1] (w:1, o:46, a:1, s:1
% 36.04/36.44 , b:0),
% 36.04/36.44 'class_Ring__and__Field_Omult__mono' [115, 1] (w:1, o:47, a:1, s:1
% 36.04/36.44 , b:0),
% 36.04/36.44 'class_Ring__and__Field_Oordered__comm__semiring__strict' [116, 1]
% 36.04/36.44 (w:1, o:85, a:1, s:1, b:0),
% 36.04/36.44 'class_RealVector_Oreal__field' [119, 1] (w:1, o:88, a:1, s:1, b:0),
% 36.04/36.44
% 36.04/36.44 'class_Ring__and__Field_Opordered__ring' [120, 1] (w:1, o:89, a:1, s:
% 36.04/36.44 1, b:0),
% 36.04/36.44 'class_Ring__and__Field_Opordered__cancel__semiring' [122, 1] (w:1
% 36.04/36.44 , o:90, a:1, s:1, b:0),
% 36.04/36.44 'class_OrderedGroup_Oab__semigroup__mult' [123, 1] (w:1, o:98, a:1
% 36.04/36.44 , s:1, b:0),
% 36.04/36.44 'class_Ring__and__Field_Ocomm__semiring' [127, 1] (w:1, o:63, a:1, s:
% 36.04/36.44 1, b:0),
% 36.04/36.44 'class_Ring__and__Field_Opordered__semiring' [128, 1] (w:1, o:91, a:1
% 36.04/36.44 , s:1, b:0),
% 36.04/36.44 'class_OrderedGroup_Ocancel__ab__semigroup__add' [130, 1] (w:1, o:99
% 36.04/36.44 , a:1, s:1, b:0),
% 36.04/36.44 'class_OrderedGroup_Ocancel__semigroup__add' [131, 1] (w:1, o:100, a:
% 36.04/36.44 1, s:1, b:0),
% 36.04/36.44 'class_OrderedGroup_Opordered__ab__group__add' [133, 1] (w:1, o:101
% 36.04/36.44 , a:1, s:1, b:0),
% 36.04/36.44 'v_thesis____' [134, 0] (w:1, o:33, a:1, s:1, b:0),
% 36.04/36.44 'v_e' [135, 0] (w:1, o:34, a:1, s:1, b:0),
% 36.04/36.44 'v_m____' [136, 0] (w:1, o:35, a:1, s:1, b:0),
% 36.04/36.44 'class_Ring__and__Field_Ozero__neq__one' [137, 1] (w:1, o:92, a:1, s:
% 36.04/36.44 1, b:0),
% 36.04/36.44 'v_sko__CHAINED__1' [138, 2] (w:1, o:133, a:1, s:1, b:0).
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Starting Search:
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 3868
% 36.04/36.44 Kept: 2002
% 36.04/36.44 Inuse: 125
% 36.04/36.44 Deleted: 0
% 36.04/36.44 Deletedinuse: 0
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 12297
% 36.04/36.44 Kept: 4051
% 36.04/36.44 Inuse: 218
% 36.04/36.44 Deleted: 7
% 36.04/36.44 Deletedinuse: 4
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 19377
% 36.04/36.44 Kept: 6057
% 36.04/36.44 Inuse: 272
% 36.04/36.44 Deleted: 10
% 36.04/36.44 Deletedinuse: 4
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 29603
% 36.04/36.44 Kept: 8204
% 36.04/36.44 Inuse: 294
% 36.04/36.44 Deleted: 12
% 36.04/36.44 Deletedinuse: 5
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 38396
% 36.04/36.44 Kept: 10216
% 36.04/36.44 Inuse: 363
% 36.04/36.44 Deleted: 13
% 36.04/36.44 Deletedinuse: 5
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 45706
% 36.04/36.44 Kept: 12269
% 36.04/36.44 Inuse: 427
% 36.04/36.44 Deleted: 14
% 36.04/36.44 Deletedinuse: 5
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 54496
% 36.04/36.44 Kept: 14271
% 36.04/36.44 Inuse: 473
% 36.04/36.44 Deleted: 14
% 36.04/36.44 Deletedinuse: 5
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 64090
% 36.04/36.44 Kept: 16370
% 36.04/36.44 Inuse: 526
% 36.04/36.44 Deleted: 26
% 36.04/36.44 Deletedinuse: 16
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 74451
% 36.04/36.44 Kept: 18680
% 36.04/36.44 Inuse: 556
% 36.04/36.44 Deleted: 26
% 36.04/36.44 Deletedinuse: 16
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying inuse:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44 Resimplifying clauses:
% 36.04/36.44 Done
% 36.04/36.44
% 36.04/36.44
% 36.04/36.44 Intermediate Status:
% 36.04/36.44 Generated: 82746
% 36.04/36.44 Kept: 20786
% 36.04/36.44 Inuse: 580
% 141.49/141.89 Deleted: 1192
% 141.49/141.89 Deletedinuse: 16
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 93951
% 141.49/141.89 Kept: 23430
% 141.49/141.89 Inuse: 612
% 141.49/141.89 Deleted: 1192
% 141.49/141.89 Deletedinuse: 16
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 101436
% 141.49/141.89 Kept: 25433
% 141.49/141.89 Inuse: 646
% 141.49/141.89 Deleted: 1192
% 141.49/141.89 Deletedinuse: 16
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 111867
% 141.49/141.89 Kept: 28091
% 141.49/141.89 Inuse: 665
% 141.49/141.89 Deleted: 1192
% 141.49/141.89 Deletedinuse: 16
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 128839
% 141.49/141.89 Kept: 30612
% 141.49/141.89 Inuse: 675
% 141.49/141.89 Deleted: 1192
% 141.49/141.89 Deletedinuse: 16
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 157673
% 141.49/141.89 Kept: 32720
% 141.49/141.89 Inuse: 685
% 141.49/141.89 Deleted: 1192
% 141.49/141.89 Deletedinuse: 16
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 170178
% 141.49/141.89 Kept: 34884
% 141.49/141.89 Inuse: 728
% 141.49/141.89 Deleted: 1198
% 141.49/141.89 Deletedinuse: 20
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 179039
% 141.49/141.89 Kept: 36896
% 141.49/141.89 Inuse: 753
% 141.49/141.89 Deleted: 1198
% 141.49/141.89 Deletedinuse: 20
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 191545
% 141.49/141.89 Kept: 39054
% 141.49/141.89 Inuse: 773
% 141.49/141.89 Deleted: 1198
% 141.49/141.89 Deletedinuse: 20
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying clauses:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 208294
% 141.49/141.89 Kept: 41065
% 141.49/141.89 Inuse: 830
% 141.49/141.89 Deleted: 1771
% 141.49/141.89 Deletedinuse: 20
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 222813
% 141.49/141.89 Kept: 43073
% 141.49/141.89 Inuse: 858
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 241960
% 141.49/141.89 Kept: 45803
% 141.49/141.89 Inuse: 888
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 259135
% 141.49/141.89 Kept: 48195
% 141.49/141.89 Inuse: 908
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 272505
% 141.49/141.89 Kept: 50325
% 141.49/141.89 Inuse: 953
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 286506
% 141.49/141.89 Kept: 52331
% 141.49/141.89 Inuse: 991
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 301129
% 141.49/141.89 Kept: 55111
% 141.49/141.89 Inuse: 1003
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 314219
% 141.49/141.89 Kept: 57283
% 141.49/141.89 Inuse: 1038
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 326345
% 141.49/141.89 Kept: 59461
% 141.49/141.89 Inuse: 1063
% 141.49/141.89 Deleted: 1773
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying clauses:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 337081
% 141.49/141.89 Kept: 61468
% 141.49/141.89 Inuse: 1084
% 141.49/141.89 Deleted: 2574
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 352247
% 141.49/141.89 Kept: 63609
% 141.49/141.89 Inuse: 1113
% 141.49/141.89 Deleted: 2574
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 379569
% 141.49/141.89 Kept: 66167
% 141.49/141.89 Inuse: 1123
% 141.49/141.89 Deleted: 2574
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 414750
% 141.49/141.89 Kept: 69193
% 141.49/141.89 Inuse: 1143
% 141.49/141.89 Deleted: 2574
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 432081
% 141.49/141.89 Kept: 71684
% 141.49/141.89 Inuse: 1168
% 141.49/141.89 Deleted: 2574
% 141.49/141.89 Deletedinuse: 22
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 447054
% 141.49/141.89 Kept: 73694
% 141.49/141.89 Inuse: 1186
% 141.49/141.89 Deleted: 2575
% 141.49/141.89 Deletedinuse: 23
% 141.49/141.89
% 141.49/141.89 Resimplifying inuse:
% 141.49/141.89 Done
% 141.49/141.89
% 141.49/141.89
% 141.49/141.89 Intermediate Status:
% 141.49/141.89 Generated: 460581
% 141.49/141.89 Kept: 75841
% 141.49/141.89 Inuse: 1213
% 141.49/141.89 DeletedCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------