TSTP Solution File: ALG393-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG393-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 12:10:42 EDT 2022
% Result : Timeout 300.07s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG393-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 06:07:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.26 *** allocated 10000 integers for termspace/termends
% 0.87/1.26 *** allocated 10000 integers for clauses
% 0.87/1.26 *** allocated 10000 integers for justifications
% 0.87/1.26 *** allocated 15000 integers for termspace/termends
% 0.87/1.26 Bliksem 1.12
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Automatic Strategy Selection
% 0.87/1.26
% 0.87/1.26 Clauses:
% 0.87/1.26 [
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.87/1.26 , X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.87/1.26 , X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.26 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.26 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.26 , Y, X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.26 , Z, X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.26 , Z, X ), X ) ],
% 0.87/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.87/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.87/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.87/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.87/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.87/1.26 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.26 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.87/1.26 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.87/1.26 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.26 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.87/1.26 , X ), W, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.87/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.26 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.87/1.26 , X ), T, X ), W, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.87/1.26 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.87/1.26 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.26 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.87/1.26 X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.87/1.26 X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.87/1.26 ), Y ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.26 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.26 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.26 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.87/1.26 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.26 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.26 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.26 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.26 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.87/1.26 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.26 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.26 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.26 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.26 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.26 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.26 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.26 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 , X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.26 , X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.26 , X ), X ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 X ), X ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Z,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat'
% 0.87/1.26 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.87/1.26 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.87/1.26 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.26 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.87/1.26 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.87/1.26 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.87/1.26 , T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 X ), 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.26 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.87/1.26 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ), X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.26 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.87/1.26 X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.26 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.87/1.26 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.87/1.26 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.26 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.87/1.26 ), X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.87/1.26 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.87/1.26 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 0.87/1.26 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.26 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.87/1.26 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.87/1.26 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.26 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.26 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.87/1.26 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.26 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.87/1.26 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.26 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.26 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.87/1.26 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 0.87/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.87/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.26 , U, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.87/1.26 ), Y ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.87/1.26 ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.26 ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.87/1.26 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.87/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.26 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.87/1.26 [ =( 'c_Nat_Osize__class_Osize'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.26 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.26 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.26 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.87/1.26 [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.26 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.87/1.26 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.26 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.87/1.26 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 Z, T, 'tc_nat' ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.87/1.26 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat'
% 0.87/1.26 ), 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat' ) ), 'tc_nat' ) )
% 0.87/1.26 ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.26 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.87/1.26 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.87/1.26 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.87/1.26 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.87/1.26 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.87/1.26 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.87/1.26 , T ), =( X, Z ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 0.87/1.26 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 0.87/1.26 , T ), =( X, Z ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.87/1.26 Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.87/1.26 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.87/1.26 Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.87/1.26 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 0.87/1.26 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.87/1.26 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.87/1.26 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 0.87/1.26 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.26 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.87/1.26 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 0.87/1.26 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.26 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.87/1.26 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.26 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.87/1.26 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.87/1.26 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.87/1.26 'v_sko__local__Xth__1'( 'v_cs____' ), 'c_HOL_Ozero__class_Ozero'( 't_a' )
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.26 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.26 , T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , Z, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.26 , T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , Z, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.26 , T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , Z, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.87/1.26 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 X ), T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.87/1.26 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.26 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.26 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.26 ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.87/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.26 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.26 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.87/1.26 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.26 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.26 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.26 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.26 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.26 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.26 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.26 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.87/1.26 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.26 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.26 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.26 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.87/1.26 , X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.26 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.26 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.87/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.26 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.26 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.87/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.87/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.87/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.87/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.26 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.87/1.26 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.87/1.26 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.87/1.26 , T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.26 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.87/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.87/1.26 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.87/1.26 , X ), W, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.87/1.26 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.87/1.26 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.87/1.26 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.87/1.26 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.87/1.26 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.87/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.87/1.26 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.87/1.26 ), X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.26 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.26 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.26 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 0.87/1.26 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.87/1.26 , 'tc_nat' ), X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.87/1.26 'tc_nat' ), X ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.26 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.26 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.26 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.26 ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.26 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.87/1.26 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.26 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.87/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.26 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.87/1.27 ), Y, X ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.27 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.27 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.27 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.27 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.27 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.87/1.27 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.27 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.27 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.87/1.27 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ) ), =( Y, Z ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.27 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.27 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.87/1.27 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.27 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 0.87/1.27 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.87/1.27 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.87/1.27 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.87/1.27 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.27 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.27 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.87/1.27 ],
% 0.87/1.27 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.87/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.87/1.27 , X ), W, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.87/1.27 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.87/1.27 W, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.87/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.87/1.27 , X ), T, X ), W, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.87/1.27 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.87/1.27 W, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.87/1.27 Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.87/1.27 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.27 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.87/1.27 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.27 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.87/1.27 , Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.87/1.27 , Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.27 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 0.87/1.27 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.87/1.27 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 0.87/1.27 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.27 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.87/1.27 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.27 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.87/1.27 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.87/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.87/1.27 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.87/1.27 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.87/1.27 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.27 ) ), X, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.27 ) ), X, 'tc_nat' ) ) ],
% 0.87/1.27 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1'( X ) )
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 , X, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ =( X, 'c_Suc'(
% 0.87/1.27 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ) ) ), =(
% 0.87/1.27 X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( X, 'c_Suc'( 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1'( X
% 0.87/1.27 ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1'( X, Y ), Y,
% 0.87/1.27 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_nat_Onat__size'( 'c_Suc'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_nat_Onat__size'( X ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_Nat_Osize__class_Osize'( 'c_Suc'( X ), 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Nat_Osize__class_Osize'( X, 'tc_nat' ),
% 0.87/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_ATP__Linkup_Osko__Nat__Xless__imp__Suc__add__1__1'( Y, X ), 'tc_nat' )
% 0.87/1.27 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.27 [ =( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_ATP__Linkup_Osko__Nat__Xless__iff__Suc__add__1__1'( Y, X ), 'tc_nat' )
% 0.87/1.27 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 0.87/1.27 , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.87/1.27 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Polynomial_Oorder'( Z, Y
% 0.87/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 0.87/1.27 ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.87/1.27 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.87/1.27 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.87/1.27 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.87/1.27 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 0.87/1.27 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.27 ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.27 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.27 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Archimedean__Field_Oarchimedean__field'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'(
% 0.87/1.27 Y, X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.87/1.27 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.87/1.27 'c_Polynomial_Opoly'( 'v_cs____', 'v_sko__local__Xth__1'( 'v_cs____' ),
% 0.87/1.27 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.87/1.27 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.87/1.27 , Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.87/1.27 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.27 T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.27 T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.87/1.27 X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.27 T, X ), X ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.87/1.27 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.27 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.87/1.27 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.87/1.27 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.27 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.87/1.27 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.87/1.27 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.27 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ), =( Z, Y ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.27 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.27 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 , X ), X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.87/1.27 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.87/1.27 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.87/1.27 X ) ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.87/1.27 X ) ) ), =( Z, T ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.87/1.27 X ) ) ), =( Y, T ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.27 ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.27 ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 X, T, 'tc_nat' ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.87/1.27 Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.27 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.27 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.87/1.27 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.87/1.27 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.87/1.27 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.27 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.27 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.27 , Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.27 , X ) ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.27 , Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.27 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.27 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.27 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.87/1.27 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Z, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Z, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.87/1.27 X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, T, X ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.87/1.27 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.87/1.27 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.27 , Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.27 , T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.87/1.27 , T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.27 , Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.27 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.27 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.87/1.27 'tc_nat' ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.87/1.27 Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.87/1.27 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.87/1.27 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.27 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.87/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.27 ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.27 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.27 ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.27 , Y, X ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.87/1.27 , Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.87/1.27 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.87/1.27 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.87/1.27 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.87/1.27 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.87/1.27 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.27 Y, T, X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.27 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.87/1.27 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.87/1.27 ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.27 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.87/1.27 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.87/1.27 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.27 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.27 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 X ), T, X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.87/1.27 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.27 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.27 ), X ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.27 ],
% 0.87/1.27 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.27 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.27 ), 'tc_nat' ), X ) ],
% 0.87/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.27 , X, 'tc_nat' ), X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.87/1.27 ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oidom'( 't_a' ) ],
% 0.87/1.27 [ ~( =( 'v_a', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.87/1.27 [ =( 'c_Suc'( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( 'v_q', 't_a' ),
% 0.87/1.27 'v_k', 'tc_nat' ) ), 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 0.87/1.27 'v_cs____', 't_a' ) ) ],
% 0.87/1.27 [ =( 'c_Polynomial_Opoly'( 'v_cs____', X, 't_a' ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( X, 'v_k',
% 0.87/1.27 't_a' ), 'c_HOL_Oplus__class_Oplus'( 'v_a', 'c_HOL_Otimes__class_Otimes'(
% 0.87/1.27 X, 'c_Polynomial_Opoly'( 'v_q', X, 't_a' ), 't_a' ), 't_a' ), 't_a' ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'v_x'( X, Y, Z ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 'v_x'( X, Y
% 0.87/1.27 , Z ), 'v_k', 't_a' ), 'c_HOL_Oplus__class_Oplus'( 'v_a',
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'v_x'( X, Y, Z ), 'c_Polynomial_Opoly'(
% 0.87/1.27 'v_q', 'v_x'( X, Y, Z ), 't_a' ), 't_a' ), 't_a' ), 't_a' ), 't_a' ),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( 'v_x'( X, Y
% 0.87/1.27 , Z ), X, 't_a' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.87/1.27 'c_HOL_Otimes__class_Otimes'( 'v_x'( X, Y, Z ), 'c_Polynomial_Opoly'( Z,
% 0.87/1.27 'v_x'( X, Y, Z ), 't_a' ), 't_a' ), 't_a' ), 't_a' ) ) ), ~( =( 'c_Suc'(
% 0.87/1.27 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.27 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Z, 't_a' ), X,
% 0.87/1.27 'tc_nat' ) ), 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 0.87/1.27 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 't_a' ), 't_a' ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.27 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Osemiring'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Ogroup__add'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Oring'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_Ring__and__Field_Odvd'( X ) ],
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_Power_Opower'( X ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.87/1.27 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.87/1.27 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.87/1.27 ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.87/1.27 ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.87/1.27 ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.87/1.27 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.87/1.27 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.87/1.27 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.87/1.27 ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.87/1.27 ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_HOL_Ozero'( 'tc_Int_Oint' ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.87/1.27 X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.87/1.27 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.87/1.27 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.87/1.27 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.87/1.27 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.87/1.27 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.87/1.27 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.87/1.27 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.87/1.27 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.87/1.27 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.87/1.27 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.87/1.27 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.87/1.27 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.87/1.27 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.87/1.27 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.87/1.27 [ 'class_Nat_Osemiring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.87/1.27 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.87/1.27 [ 'class_Int_Onumber'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.87/1.27 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.87/1.27 X ) ) ]
% 0.87/1.27 ] .
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 percentage equality = 0.193407, percentage horn = 0.875346
% 0.87/1.27 This is a problem with some equality
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Options Used:
% 0.87/1.27
% 0.87/1.27 useres = 1
% 0.87/1.27 useparamod = 1
% 0.87/1.27 useeqrefl = 1
% 0.87/1.27 useeqfact = 1
% 0.87/1.27 usefactor = 1
% 0.87/1.27 usesimpsplitting = 0
% 0.87/1.27 usesimpdemod = 5
% 0.87/1.27 usesimpres = 3
% 0.87/1.27
% 0.87/1.27 resimpinuse = 1000
% 0.87/1.27 resimpclauses = 20000
% 0.87/1.27 substype = eqrewr
% 0.87/1.27 backwardsubs = 1
% 0.87/1.27 selectoldest = 5
% 0.87/1.27
% 0.87/1.27 litorderings [0] = split
% 0.87/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.27
% 0.87/1.27 termordering = kbo
% 0.87/1.27
% 0.87/1.27 litapriori = 0
% 0.87/1.27 termapriori = 1
% 0.87/1.27 litaposteriori = 0
% 0.87/1.27 termaposteriori = 0
% 0.87/1.27 demodaposteriori = 0
% 0.87/1.27 ordereqreflfact = 0
% 0.87/1.27
% 0.87/1.27 litselect = negord
% 0.87/1.27
% 0.87/1.27 maxweight = 15
% 0.87/1.27 maxdepth = 30000
% 0.87/1.27 maxlength = 115
% 0.87/1.27 maxnrvars = 195
% 0.87/1.27 excuselevel = 1
% 0.87/1.27 increasemaxweight = 1
% 0.87/1.27
% 0.87/1.27 maxselected = 10000000
% 0.87/1.27 maxnrclauses = 10000000
% 0.87/1.27
% 0.87/1.27 showgenerated = 0
% 0.87/1.27 showkept = 0
% 0.87/1.27 showselected = 0
% 0.87/1.27 showdeleted = 0
% 0.87/1.27 showresimp = 1
% 0.87/1.27 showstatus = 2000
% 0.87/1.27
% 0.87/1.27 prologoutput = 1
% 0.87/1.27 nrgoals = 5000000
% 0.87/1.27 totalproof = 1
% 0.87/1.27
% 0.87/1.27 Symbols occurring in the translation:
% 0.87/1.27
% 0.87/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.27 . [1, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.87/1.27 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 0.87/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.27 'class_Ring__and__Field_Oordered__idom' [40, 1] (w:1, o:64, a:1, s:1
% 0.87/1.27 , b:0),
% 0.87/1.27 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.87/1.27 'c_lessequals' [44, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.87/1.27 'c_HOL_Oone__class_Oone' [45, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.87/1.27 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.87/1.27 'class_Ring__and__Field_Ocomm__semiring__1' [47, 1] (w:1, o:70, a:1
% 0.87/1.27 , s:1, b:0),
% 0.87/1.27 'c_Ring__and__Field_Odvd__class_Odvd' [52, 3] (w:1, o:163, a:1, s:1
% 0.87/1.27 , b:0),
% 0.87/1.27 'class_Ring__and__Field_Oidom' [53, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.87/1.27 'class_OrderedGroup_Omonoid__mult' [54, 1] (w:1, o:74, a:1, s:1, b:0)
% 0.87/1.27 ,
% 0.87/1.27 'class_OrderedGroup_Ocomm__monoid__mult' [55, 1] (w:1, o:75, a:1, s:1
% 0.87/1.27 , b:0),
% 0.87/1.27 'class_Ring__and__Field_Odvd' [56, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.87/1.27 'class_RealVector_Oreal__normed__algebra' [58, 1] (w:1, o:78, a:1, s:
% 0.87/1.27 1, b:0),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus' [60, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.87/1.27 'class_Ring__and__Field_Ocomm__ring' [64, 1] (w:1, o:67, a:1, s:1, b:
% 0.87/1.27 0),
% 0.87/1.27 'c_HOL_Oplus__class_Oplus' [66, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.87/1.27 'class_Ring__and__Field_Opordered__ring' [68, 1] (w:1, o:84, a:1, s:1
% 0.87/1.27 , b:0),
% 0.87/1.27 'class_OrderedGroup_Opordered__ab__group__add' [70, 1] (w:1, o:85, a:
% 0.87/1.27 1, s:1, b:0),
% 0.87/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add' [71, 1] (w:1, o:86
% 0.87/1.27 , a:1, s:1, b:0),
% 0.87/1.27 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [72, 1]
% 0.87/1.27 (w:1, o:87, a:1, s:1, b:0),
% 0.87/1.27 'class_OrderedGroup_Ogroup__add' [73, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.87/1.27
% 0.87/1.27 'class_Orderings_Olinorder' [74, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.87/1.27 'c_HOL_Oord__class_Oless' [75, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.87/1.27 'class_Orderings_Opreorder' [76, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.87/1.27 'class_Orderings_Oorder' [79, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.87/1.27 'class_Int_Onumber__ring' [81, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.87/1.27 'class_OrderedGroup_Oab__group__add' [82, 1] (w:1, o:94, a:1, s:1, b:
% 0.87/1.27 0),
% 0.87/1.27 'class_Ring__and__Field_Ozero__neq__one' [83, 1] (w:1, o:95, a:1, s:1
% 0.87/1.27 , b:0),
% 0.87/1.27 'class_Ring__and__Field_Oordered__semidom' [84, 1] (w:1, o:80, a:1
% 0.87/1.27 , s:1, b:0),
% 0.87/1.27 'c_Nat_Osemiring__1__class_Oof__nat' [86, 2] (w:1, o:151, a:1, s:1
% 0.87/1.27 , b:0),
% 0.87/1.27 'tc_nat' [88, 0] (w:1, o:38, a:1, s:1, b:0),
% 3.47/3.92 'c_Parity_Oeven__odd__class_Oeven' [89, 2] (w:1, o:152, a:1, s:1, b:0
% 3.47/3.92 ),
% 3.47/3.92 'c_Int_Onumber__class_Onumber__of' [91, 2] (w:1, o:153, a:1, s:1, b:0
% 3.47/3.92 ),
% 3.47/3.92 'c_Power_Opower__class_Opower' [92, 3] (w:1, o:167, a:1, s:1, b:0),
% 3.47/3.92 'class_Int_Oring__char__0' [95, 1] (w:1, o:96, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Oring' [96, 1] (w:1, o:97, a:1, s:1, b:0),
% 3.47/3.92 'class_Int_Onumber' [97, 1] (w:1, o:98, a:1, s:1, b:0),
% 3.47/3.92 'class_Nat_Osemiring__char__0' [99, 1] (w:1, o:72, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Ocomm__ring__1' [100, 1] (w:1, o:68, a:1, s:1
% 3.47/3.92 , b:0),
% 3.47/3.92 'c_Nat_Osize__class_Osize' [101, 2] (w:1, o:154, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Osemiring__1' [102, 1] (w:1, o:102, a:1, s:1
% 3.47/3.92 , b:0),
% 3.47/3.92 'class_HOL_Ozero' [103, 1] (w:1, o:92, a:1, s:1, b:0),
% 3.47/3.92 'c_Polynomial_Omonom' [104, 3] (w:1, o:168, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Osemiring__0' [105, 1] (w:1, o:101, a:1, s:1
% 3.47/3.92 , b:0),
% 3.47/3.92 'class_Power_Opower' [106, 1] (w:1, o:113, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Oordered__ring__strict' [107, 1] (w:1, o:79
% 3.47/3.92 , a:1, s:1, b:0),
% 3.47/3.92 'c_Suc' [108, 1] (w:1, o:114, a:1, s:1, b:0),
% 3.47/3.92 'c_nat_Onat__size' [109, 1] (w:1, o:115, a:1, s:1, b:0),
% 3.47/3.92 'c_Polynomial_OpCons' [114, 3] (w:1, o:170, a:1, s:1, b:0),
% 3.47/3.92 'c_Polynomial_Opos__poly' [115, 2] (w:1, o:155, a:1, s:1, b:0),
% 3.47/3.92 't_a' [116, 0] (w:1, o:42, a:1, s:1, b:0),
% 3.47/3.92 'v_cs____' [117, 0] (w:1, o:43, a:1, s:1, b:0),
% 3.47/3.92 'v_sko__local__Xth__1' [118, 1] (w:1, o:116, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Oordered__semiring__strict' [119, 1] (w:1, o:
% 3.47/3.92 81, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Oordered__semiring' [120, 1] (w:1, o:82, a:1
% 3.47/3.92 , s:1, b:0),
% 3.47/3.92 'class_OrderedGroup_Ocomm__monoid__add' [121, 1] (w:1, o:103, a:1, s:
% 3.47/3.92 1, b:0),
% 3.47/3.92 'class_OrderedGroup_Opordered__comm__monoid__add' [122, 1] (w:1, o:
% 3.47/3.92 104, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Omult__mono1' [123, 1] (w:1, o:117, a:1, s:1
% 3.47/3.92 , b:0),
% 3.47/3.92 'class_Ring__and__Field_Omult__mono' [124, 1] (w:1, o:118, a:1, s:1
% 3.47/3.92 , b:0),
% 3.47/3.92 'class_Ring__and__Field_Opordered__cancel__semiring' [125, 1] (w:1
% 3.47/3.92 , o:119, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Opordered__semiring' [126, 1] (w:1, o:120, a:
% 3.47/3.92 1, s:1, b:0),
% 3.47/3.92 'class_OrderedGroup_Olordered__ab__group__add' [127, 1] (w:1, o:73
% 3.47/3.92 , a:1, s:1, b:0),
% 3.47/3.92 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [128, 1]
% 3.47/3.92 (w:1, o:105, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Osemiring' [129, 1] (w:1, o:121, a:1, s:1, b:
% 3.47/3.92 0),
% 3.47/3.92 'class_Ring__and__Field_Ono__zero__divisors' [130, 1] (w:1, o:63, a:1
% 3.47/3.92 , s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Omult__zero' [131, 1] (w:1, o:62, a:1, s:1
% 3.47/3.92 , b:0),
% 3.47/3.92 'c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1' [134, 1] (w:1, o:122
% 3.47/3.92 , a:1, s:1, b:0),
% 3.47/3.92 'c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1' [135, 2] (w:
% 3.47/3.92 1, o:156, a:1, s:1, b:0),
% 3.47/3.92 'c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1' [136, 1] (w:1, o:
% 3.47/3.92 123, a:1, s:1, b:0),
% 3.47/3.92 'c_ATP__Linkup_Osko__Nat__Xless__imp__Suc__add__1__1' [138, 2] (w:1
% 3.47/3.92 , o:157, a:1, s:1, b:0),
% 3.47/3.92 'c_ATP__Linkup_Osko__Nat__Xless__iff__Suc__add__1__1' [139, 2] (w:1
% 3.47/3.92 , o:158, a:1, s:1, b:0),
% 3.47/3.92 'c_Polynomial_Opoly' [140, 3] (w:1, o:171, a:1, s:1, b:0),
% 3.47/3.92 'c_Polynomial_Oorder' [141, 3] (w:1, o:169, a:1, s:1, b:0),
% 3.47/3.92 'class_Archimedean__Field_Oarchimedean__field' [142, 1] (w:1, o:124
% 3.47/3.92 , a:1, s:1, b:0),
% 3.47/3.92
% 3.47/3.92 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'
% 3.47/3.92 [143, 2] (w:1, o:159, a:1, s:1, b:0),
% 3.47/3.92 'class_OrderedGroup_Oab__semigroup__mult' [148, 1] (w:1, o:106, a:1
% 3.47/3.92 , s:1, b:0),
% 3.47/3.92 'class_OrderedGroup_Oab__semigroup__idem__mult' [149, 1] (w:1, o:107
% 3.47/3.92 , a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Oring__1__no__zero__divisors' [150, 1] (w:1
% 3.47/3.92 , o:99, a:1, s:1, b:0),
% 3.47/3.92 'class_Ring__and__Field_Ocomm__semiring' [151, 1] (w:1, o:76, a:1, s:
% 3.47/3.92 1, b:0),
% 3.47/3.92 'class_OrderedGroup_Ocancel__ab__semigroup__add' [152, 1] (w:1, o:108
% 20.44/20.83 , a:1, s:1, b:0),
% 20.44/20.83 'class_OrderedGroup_Ocancel__semigroup__add' [153, 1] (w:1, o:109, a:
% 20.44/20.83 1, s:1, b:0),
% 20.44/20.83 'class_Ring__and__Field_Oring__no__zero__divisors' [155, 1] (w:1, o:
% 20.44/20.83 100, a:1, s:1, b:0),
% 20.44/20.83 'class_Ring__and__Field_Ocomm__semiring__0' [156, 1] (w:1, o:69, a:1
% 20.44/20.83 , s:1, b:0),
% 20.44/20.83 'class_OrderedGroup_Oab__semigroup__add' [157, 1] (w:1, o:110, a:1
% 20.44/20.83 , s:1, b:0),
% 20.44/20.83 'class_Ring__and__Field_Oordered__comm__semiring__strict' [158, 1]
% 20.44/20.83 (w:1, o:83, a:1, s:1, b:0),
% 20.44/20.83 'class_OrderedGroup_Omonoid__add' [159, 1] (w:1, o:111, a:1, s:1, b:0
% 20.44/20.83 ),
% 20.44/20.83 'v_a' [160, 0] (w:1, o:50, a:1, s:1, b:0),
% 20.44/20.83 'v_q' [161, 0] (w:1, o:51, a:1, s:1, b:0),
% 20.44/20.83 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize' [162, 2] (w:1, o:
% 20.44/20.83 160, a:1, s:1, b:0),
% 20.44/20.83 'v_k' [163, 0] (w:1, o:52, a:1, s:1, b:0),
% 20.44/20.83 'v_x' [166, 3] (w:1, o:172, a:1, s:1, b:0),
% 20.44/20.83 'v_c____' [167, 0] (w:1, o:53, a:1, s:1, b:0),
% 20.44/20.83 'class_OrderedGroup_Ocancel__comm__monoid__add' [169, 1] (w:1, o:112
% 20.44/20.83 , a:1, s:1, b:0),
% 20.44/20.83 'tc_Polynomial_Opoly' [171, 1] (w:1, o:125, a:1, s:1, b:0),
% 20.44/20.83 'tc_Int_Oint' [172, 0] (w:1, o:56, a:1, s:1, b:0).
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Starting Search:
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 3740
% 20.44/20.83 Kept: 2394
% 20.44/20.83 Inuse: 206
% 20.44/20.83 Deleted: 0
% 20.44/20.83 Deletedinuse: 0
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 6764
% 20.44/20.83 Kept: 4764
% 20.44/20.83 Inuse: 256
% 20.44/20.83 Deleted: 0
% 20.44/20.83 Deletedinuse: 0
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 9470
% 20.44/20.83 Kept: 6766
% 20.44/20.83 Inuse: 334
% 20.44/20.83 Deleted: 3
% 20.44/20.83 Deletedinuse: 2
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 14454
% 20.44/20.83 Kept: 8785
% 20.44/20.83 Inuse: 368
% 20.44/20.83 Deleted: 6
% 20.44/20.83 Deletedinuse: 2
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 19634
% 20.44/20.83 Kept: 10794
% 20.44/20.83 Inuse: 433
% 20.44/20.83 Deleted: 8
% 20.44/20.83 Deletedinuse: 2
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 25683
% 20.44/20.83 Kept: 13297
% 20.44/20.83 Inuse: 495
% 20.44/20.83 Deleted: 8
% 20.44/20.83 Deletedinuse: 2
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 30863
% 20.44/20.83 Kept: 15325
% 20.44/20.83 Inuse: 540
% 20.44/20.83 Deleted: 8
% 20.44/20.83 Deletedinuse: 2
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 36120
% 20.44/20.83 Kept: 17529
% 20.44/20.83 Inuse: 583
% 20.44/20.83 Deleted: 11
% 20.44/20.83 Deletedinuse: 3
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 45516
% 20.44/20.83 Kept: 19543
% 20.44/20.83 Inuse: 617
% 20.44/20.83 Deleted: 11
% 20.44/20.83 Deletedinuse: 3
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying clauses:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 60910
% 20.44/20.83 Kept: 22350
% 20.44/20.83 Inuse: 628
% 20.44/20.83 Deleted: 265
% 20.44/20.83 Deletedinuse: 3
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 68354
% 20.44/20.83 Kept: 24388
% 20.44/20.83 Inuse: 678
% 20.44/20.83 Deleted: 265
% 20.44/20.83 Deletedinuse: 3
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 77647
% 20.44/20.83 Kept: 26865
% 20.44/20.83 Inuse: 712
% 20.44/20.83 Deleted: 265
% 20.44/20.83 Deletedinuse: 3
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 96278
% 20.44/20.83 Kept: 29615
% 20.44/20.83 Inuse: 728
% 20.44/20.83 Deleted: 266
% 20.44/20.83 Deletedinuse: 4
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 105693
% 20.44/20.83 Kept: 31647
% 20.44/20.83 Inuse: 793
% 20.44/20.83 Deleted: 266
% 20.44/20.83 Deletedinuse: 4
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 112622
% 20.44/20.83 Kept: 33670
% 20.44/20.83 Inuse: 838
% 20.44/20.83 Deleted: 266
% 20.44/20.83 Deletedinuse: 4
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 120020
% 20.44/20.83 Kept: 35702
% 20.44/20.83 Inuse: 884
% 20.44/20.83 Deleted: 266
% 20.44/20.83 Deletedinuse: 4
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 20.44/20.83 Generated: 128880
% 20.44/20.83 Kept: 37707
% 20.44/20.83 Inuse: 906
% 20.44/20.83 Deleted: 266
% 20.44/20.83 Deletedinuse: 4
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83 Resimplifying inuse:
% 20.44/20.83 Done
% 20.44/20.83
% 20.44/20.83
% 20.44/20.83 Intermediate Status:
% 84.14/84.51 Generated: 137135
% 84.14/84.51 Kept: 39740
% 84.14/84.51 Inuse: 948
% 84.14/84.51 Deleted: 266
% 84.14/84.51 Deletedinuse: 4
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying clauses:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 146012
% 84.14/84.51 Kept: 41744
% 84.14/84.51 Inuse: 991
% 84.14/84.51 Deleted: 663
% 84.14/84.51 Deletedinuse: 4
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 157421
% 84.14/84.51 Kept: 43753
% 84.14/84.51 Inuse: 1027
% 84.14/84.51 Deleted: 667
% 84.14/84.51 Deletedinuse: 7
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 168272
% 84.14/84.51 Kept: 45760
% 84.14/84.51 Inuse: 1058
% 84.14/84.51 Deleted: 667
% 84.14/84.51 Deletedinuse: 7
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 178324
% 84.14/84.51 Kept: 47832
% 84.14/84.51 Inuse: 1087
% 84.14/84.51 Deleted: 667
% 84.14/84.51 Deletedinuse: 7
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 190713
% 84.14/84.51 Kept: 50417
% 84.14/84.51 Inuse: 1127
% 84.14/84.51 Deleted: 667
% 84.14/84.51 Deletedinuse: 7
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 203664
% 84.14/84.51 Kept: 53032
% 84.14/84.51 Inuse: 1155
% 84.14/84.51 Deleted: 669
% 84.14/84.51 Deletedinuse: 7
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 213738
% 84.14/84.51 Kept: 55038
% 84.14/84.51 Inuse: 1163
% 84.14/84.51 Deleted: 702
% 84.14/84.51 Deletedinuse: 8
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 226458
% 84.14/84.51 Kept: 57113
% 84.14/84.51 Inuse: 1199
% 84.14/84.51 Deleted: 723
% 84.14/84.51 Deletedinuse: 10
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 231850
% 84.14/84.51 Kept: 59347
% 84.14/84.51 Inuse: 1209
% 84.14/84.51 Deleted: 723
% 84.14/84.51 Deletedinuse: 10
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying clauses:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 250835
% 84.14/84.51 Kept: 61367
% 84.14/84.51 Inuse: 1226
% 84.14/84.51 Deleted: 2060
% 84.14/84.51 Deletedinuse: 14
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 262076
% 84.14/84.51 Kept: 63918
% 84.14/84.51 Inuse: 1262
% 84.14/84.51 Deleted: 2065
% 84.14/84.51 Deletedinuse: 19
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 272158
% 84.14/84.51 Kept: 66888
% 84.14/84.51 Inuse: 1287
% 84.14/84.51 Deleted: 2065
% 84.14/84.51 Deletedinuse: 19
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 281314
% 84.14/84.51 Kept: 69030
% 84.14/84.51 Inuse: 1317
% 84.14/84.51 Deleted: 2065
% 84.14/84.51 Deletedinuse: 19
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 296993
% 84.14/84.51 Kept: 71040
% 84.14/84.51 Inuse: 1336
% 84.14/84.51 Deleted: 2066
% 84.14/84.51 Deletedinuse: 20
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 306022
% 84.14/84.51 Kept: 73055
% 84.14/84.51 Inuse: 1364
% 84.14/84.51 Deleted: 2066
% 84.14/84.51 Deletedinuse: 20
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 321038
% 84.14/84.51 Kept: 76087
% 84.14/84.51 Inuse: 1382
% 84.14/84.51 Deleted: 2067
% 84.14/84.51 Deletedinuse: 21
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 336886
% 84.14/84.51 Kept: 78917
% 84.14/84.51 Inuse: 1417
% 84.14/84.51 Deleted: 2068
% 84.14/84.51 Deletedinuse: 22
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 346373
% 84.14/84.51 Kept: 81021
% 84.14/84.51 Inuse: 1447
% 84.14/84.51 Deleted: 2068
% 84.14/84.51 Deletedinuse: 22
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying clauses:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 360709
% 84.14/84.51 Kept: 83023
% 84.14/84.51 Inuse: 1499
% 84.14/84.51 Deleted: 3115
% 84.14/84.51 Deletedinuse: 26
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 372843
% 84.14/84.51 Kept: 85324
% 84.14/84.51 Inuse: 1525
% 84.14/84.51 Deleted: 3115
% 84.14/84.51 Deletedinuse: 26
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 401791
% 84.14/84.51 Kept: 88536
% 84.14/84.51 Inuse: 1535
% 84.14/84.51 Deleted: 3115
% 84.14/84.51 Deletedinuse: 26
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 426120
% 84.14/84.51 Kept: 91917
% 84.14/84.51 Inuse: 1550
% 84.14/84.51 Deleted: 3115
% 84.14/84.51 Deletedinuse: 26
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 443874
% 84.14/84.51 Kept: 94623
% 84.14/84.51 Inuse: 1570
% 84.14/84.51 Deleted: 3115
% 84.14/84.51 Deletedinuse: 26
% 84.14/84.51
% 84.14/84.51 Resimplifying inuse:
% 84.14/84.51 Done
% 84.14/84.51
% 84.14/84.51
% 84.14/84.51 Intermediate Status:
% 84.14/84.51 Generated: 450346
% 84.14/84.51 Kept: 96985
% 84.14/84.51 Inuse: 1575
% 206.73/207.21 Deleted: 3115
% 206.73/207.21 Deletedinuse: 26
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 472270
% 206.73/207.21 Kept: 100323
% 206.73/207.21 Inuse: 1595
% 206.73/207.21 Deleted: 3115
% 206.73/207.21 Deletedinuse: 26
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying clauses:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 498924
% 206.73/207.21 Kept: 105023
% 206.73/207.21 Inuse: 1605
% 206.73/207.21 Deleted: 3677
% 206.73/207.21 Deletedinuse: 28
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 515023
% 206.73/207.21 Kept: 107163
% 206.73/207.21 Inuse: 1645
% 206.73/207.21 Deleted: 3677
% 206.73/207.21 Deletedinuse: 28
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 536306
% 206.73/207.21 Kept: 111908
% 206.73/207.21 Inuse: 1665
% 206.73/207.21 Deleted: 3679
% 206.73/207.21 Deletedinuse: 30
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 555683
% 206.73/207.21 Kept: 115398
% 206.73/207.21 Inuse: 1669
% 206.73/207.21 Deleted: 3680
% 206.73/207.21 Deletedinuse: 30
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 579711
% 206.73/207.21 Kept: 118216
% 206.73/207.21 Inuse: 1678
% 206.73/207.21 Deleted: 3682
% 206.73/207.21 Deletedinuse: 31
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 604788
% 206.73/207.21 Kept: 121470
% 206.73/207.21 Inuse: 1688
% 206.73/207.21 Deleted: 3683
% 206.73/207.21 Deletedinuse: 32
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying clauses:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 620863
% 206.73/207.21 Kept: 123767
% 206.73/207.21 Inuse: 1713
% 206.73/207.21 Deleted: 4043
% 206.73/207.21 Deletedinuse: 32
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 641225
% 206.73/207.21 Kept: 128144
% 206.73/207.21 Inuse: 1728
% 206.73/207.21 Deleted: 4043
% 206.73/207.21 Deletedinuse: 32
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 679054
% 206.73/207.21 Kept: 131682
% 206.73/207.21 Inuse: 1738
% 206.73/207.21 Deleted: 4043
% 206.73/207.21 Deletedinuse: 32
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 692763
% 206.73/207.21 Kept: 136479
% 206.73/207.21 Inuse: 1743
% 206.73/207.21 Deleted: 4043
% 206.73/207.21 Deletedinuse: 32
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 709747
% 206.73/207.21 Kept: 138505
% 206.73/207.21 Inuse: 1785
% 206.73/207.21 Deleted: 4045
% 206.73/207.21 Deletedinuse: 34
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 725553
% 206.73/207.21 Kept: 143801
% 206.73/207.21 Inuse: 1803
% 206.73/207.21 Deleted: 4045
% 206.73/207.21 Deletedinuse: 34
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying clauses:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 738369
% 206.73/207.21 Kept: 145827
% 206.73/207.21 Inuse: 1831
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 748541
% 206.73/207.21 Kept: 147831
% 206.73/207.21 Inuse: 1856
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 759650
% 206.73/207.21 Kept: 149906
% 206.73/207.21 Inuse: 1878
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 779715
% 206.73/207.21 Kept: 152216
% 206.73/207.21 Inuse: 1923
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 794225
% 206.73/207.21 Kept: 154224
% 206.73/207.21 Inuse: 1956
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 815356
% 206.73/207.21 Kept: 156927
% 206.73/207.21 Inuse: 1963
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 835639
% 206.73/207.21 Kept: 159364
% 206.73/207.21 Inuse: 1968
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 845211
% 206.73/207.21 Kept: 163769
% 206.73/207.21 Inuse: 1973
% 206.73/207.21 Deleted: 4774
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21 Resimplifying clauses:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 855005
% 206.73/207.21 Kept: 168198
% 206.73/207.21 Inuse: 1978
% 206.73/207.21 Deleted: 5233
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 863602
% 206.73/207.21 Kept: 170317
% 206.73/207.21 Inuse: 1983
% 206.73/207.21 Deleted: 5233
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 Generated: 874610
% 206.73/207.21 Kept: 172716
% 206.73/207.21 Inuse: 1993
% 206.73/207.21 Deleted: 5233
% 206.73/207.21 Deletedinuse: 35
% 206.73/207.21
% 206.73/207.21 Resimplifying inuse:
% 206.73/207.21 Done
% 206.73/207.21
% 206.73/207.21
% 206.73/207.21 Intermediate Status:
% 206.73/207.21 GenCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------