TSTP Solution File: SWV674-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV674-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:42 EDT 2022
% Result : Timeout 300.06s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV674-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 00:25:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.96/1.34 *** allocated 10000 integers for termspace/termends
% 0.96/1.34 *** allocated 10000 integers for clauses
% 0.96/1.34 *** allocated 10000 integers for justifications
% 0.96/1.34 *** allocated 15000 integers for termspace/termends
% 0.96/1.34 *** allocated 22500 integers for termspace/termends
% 0.96/1.34 Bliksem 1.12
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34 Automatic Strategy Selection
% 0.96/1.34
% 0.96/1.34 Clauses:
% 0.96/1.34 [
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.96/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.96/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.34 X ), Y ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.34 X ), Y ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.34 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.96/1.34 Y, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.34 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.96/1.34 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.34 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.96/1.34 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.34 , T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.34 , T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.34 , T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.96/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.34 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.34 , Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.34 , Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.34 T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.34 X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.34 T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.34 X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.34 X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.34 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.96/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.34 , T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.34 , T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.34 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.34 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.34 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.34 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.34 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.34 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.34 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.34 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.34 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.34 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.96/1.34 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.96/1.34 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.34 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.96/1.34 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.96/1.34 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), X ) ) ],
% 0.96/1.34 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.96/1.34 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.96/1.34 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.34 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.34 Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.34 Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.34 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.96/1.34 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.96/1.34 ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.34 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.34 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.96/1.34 ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.34 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , Z, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.34 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , Z, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.34 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.96/1.34 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.96/1.34 , Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.34 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.34 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.34 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.34 X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.34 Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.96/1.34 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.96/1.34 X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.96/1.34 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.96/1.34 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.34 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.34 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.34 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.96/1.34 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.34 , Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.34 , Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.34 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.96/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.96/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.34 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.96/1.34 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.34 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.96/1.34 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.96/1.34 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.96/1.34 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.34 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.34 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.96/1.34 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.34 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 0.96/1.34 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.34 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.34 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.34 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.34 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.96/1.34 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.34 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.96/1.34 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.34 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.34 ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.34 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.34 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.34 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.34 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.96/1.34 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.34 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.34 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.34 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.96/1.34 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), X ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Z,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.96/1.34 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.96/1.34 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.96/1.34 , 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat'
% 0.96/1.34 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.34 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.34 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.34 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.96/1.34 ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.96/1.34 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.96/1.34 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.34 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.96/1.34 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.96/1.34 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.96/1.34 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.34 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.96/1.34 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.34 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.96/1.34 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.34 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.34 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.96/1.34 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.34 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.34 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.34 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X
% 0.96/1.34 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.96/1.34 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.34 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y
% 0.96/1.34 , 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.35 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.35 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.35 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.35 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.35 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.35 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.96/1.35 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.96/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.35 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.96/1.35 ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.96/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.96/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.35 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.35 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.96/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.96/1.35 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.96/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.96/1.35 ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.35 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.96/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.35 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.96/1.35 , 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.35 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.96/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 Z, T, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.35 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.96/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.96/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.96/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.96/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.96/1.35 ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.35 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 0.96/1.35 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.35 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.35 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.35 , X ), X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.35 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.35 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.96/1.35 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.35 X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.96/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.96/1.35 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.96/1.35 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.96/1.35 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.35 ), 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.35 ), 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.35 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.35 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 0.96/1.35 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.96/1.35 'tc_nat' ), X ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.96/1.35 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.35 ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.96/1.35 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.35 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.96/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.96/1.35 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.35 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.96/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.96/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.96/1.35 ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.96/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.96/1.35 Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.35 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.35 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.96/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.35 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.96/1.35 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.35 ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.96/1.35 ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.96/1.35 , 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.96/1.35 ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.35 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.35 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.35 , Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.96/1.35 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.35 ), =( Z, Y ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.35 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.35 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.35 , Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.35 , Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.96/1.35 ), Y, X ) ), =( Z, T ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.96/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.96/1.35 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.96/1.35 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.35 X ), T, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.35 X ), T, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.96/1.35 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.35 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.96/1.35 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.35 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.35 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.96/1.35 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.96/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.96/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.96/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.35 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.35 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.35 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.35 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.96/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.96/1.35 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.35 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.96/1.35 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.35 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.35 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.96/1.35 'tc_nat' ) ],
% 0.96/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.96/1.35 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.96/1.35 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.96/1.35 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.35 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.35 Y, X ), Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.96/1.35 ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.35 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.35 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.96/1.35 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.35 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.96/1.35 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.96/1.35 , Y, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 Z, T, X ), X ) ) ],
% 0.96/1.35 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( 't_a' ) ), ~( =( 'v_a',
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.35 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.35 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.96/1.35 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.35 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.96/1.35 ), X ), Y ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.35 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.96/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.96/1.35 ],
% 0.96/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.96/1.35 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.35 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.35 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.35 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.96/1.35 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.35 , T, X ) ) ), =( Z, T ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.35 , T, X ) ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.35 ), X ) ) ],
% 0.96/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.35 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.35 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.96/1.35 'tc_nat' ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.35 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.96/1.35 'tc_nat' ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.35 Y, T, X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' ) ), =( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.96/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.35 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.35 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.96/1.35 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.35 , X ) ) ],
% 0.96/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.96/1.35 ],
% 0.96/1.35 [ 'class_Ring__and__Field_Ofield'( 't_a' ) ],
% 0.96/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_x',
% 0.96/1.35 'tc_nat' ) ],
% 0.96/1.35 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.35 'v_a', 't_a' ), 'c_HOL_Ominus__class_Ominus'( 'v_x',
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 't_a' ),
% 0.96/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'( 'v_a',
% 0.96/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 't_a' ),
% 0.96/1.35 'c_Power_Opower__class_Opower'( 'v_a', 'v_x', 't_a' ), 't_a' ) ) ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Odivision__ring'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_OrderedGroup_Oab__group__add'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Omult__zero'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_OrderedGroup_Ogroup__add'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Oring'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.96/1.35 'class_Ring__and__Field_Oidom'( X ) ],
% 0.96/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_Power_Opower'( X ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.96/1.35 ],
% 0.96/1.35 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.96/1.35 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.96/1.35 ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.96/1.35 ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.96/1.35 ,
% 0.96/1.35 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.96/1.35 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ]
% 0.96/1.35 ] .
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 percentage equality = 0.132240, percentage horn = 0.742424
% 0.96/1.35 This is a problem with some equality
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Options Used:
% 0.96/1.35
% 0.96/1.35 useres = 1
% 0.96/1.35 useparamod = 1
% 0.96/1.35 useeqrefl = 1
% 0.96/1.35 useeqfact = 1
% 0.96/1.35 usefactor = 1
% 0.96/1.35 usesimpsplitting = 0
% 0.96/1.35 usesimpdemod = 5
% 0.96/1.35 usesimpres = 3
% 0.96/1.35
% 0.96/1.35 resimpinuse = 1000
% 0.96/1.35 resimpclauses = 20000
% 0.96/1.35 substype = eqrewr
% 0.96/1.35 backwardsubs = 1
% 0.96/1.35 selectoldest = 5
% 0.96/1.35
% 0.96/1.35 litorderings [0] = split
% 0.96/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.35
% 0.96/1.35 termordering = kbo
% 0.96/1.35
% 0.96/1.35 litapriori = 0
% 0.96/1.35 termapriori = 1
% 0.96/1.35 litaposteriori = 0
% 0.96/1.35 termaposteriori = 0
% 0.96/1.35 demodaposteriori = 0
% 0.96/1.35 ordereqreflfact = 0
% 0.96/1.35
% 0.96/1.35 litselect = negord
% 0.96/1.35
% 0.96/1.35 maxweight = 15
% 0.96/1.35 maxdepth = 30000
% 0.96/1.35 maxlength = 115
% 0.96/1.35 maxnrvars = 195
% 0.96/1.35 excuselevel = 1
% 0.96/1.35 increasemaxweight = 1
% 0.96/1.35
% 0.96/1.35 maxselected = 10000000
% 0.96/1.35 maxnrclauses = 10000000
% 0.96/1.35
% 0.96/1.35 showgenerated = 0
% 0.96/1.35 showkept = 0
% 0.96/1.35 showselected = 0
% 0.96/1.35 showdeleted = 0
% 0.96/1.35 showresimp = 1
% 0.96/1.35 showstatus = 2000
% 0.96/1.35
% 0.96/1.35 prologoutput = 1
% 0.96/1.35 nrgoals = 5000000
% 0.96/1.35 totalproof = 1
% 0.96/1.35
% 0.96/1.35 Symbols occurring in the translation:
% 0.96/1.35
% 0.96/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.35 . [1, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.96/1.35 ! [4, 1] (w:0, o:44, a:1, s:1, b:0),
% 0.96/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.35 'class_Ring__and__Field_Omult__zero' [40, 1] (w:1, o:49, a:1, s:1, b:
% 0.96/1.35 0),
% 0.96/1.35 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.96/1.35 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:119, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Ocomm__semiring__1' [44, 1] (w:1, o:51, a:1
% 8.49/8.85 , s:1, b:0),
% 8.49/8.85 'class_RealVector_Oreal__normed__algebra' [46, 1] (w:1, o:52, a:1, s:
% 8.49/8.85 1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Oring__no__zero__divisors' [49, 1] (w:1, o:53
% 8.49/8.85 , a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Ono__zero__divisors' [50, 1] (w:1, o:56, a:1
% 8.49/8.85 , s:1, b:0),
% 8.49/8.85 'c_HOL_Ominus__class_Ominus' [52, 3] (w:1, o:120, a:1, s:1, b:0),
% 8.49/8.85 'class_OrderedGroup_Omonoid__mult' [56, 1] (w:1, o:57, a:1, s:1, b:0)
% 8.49/8.85 ,
% 8.49/8.85 'tc_nat' [57, 0] (w:1, o:21, a:1, s:1, b:0),
% 8.49/8.85 'c_HOL_Oone__class_Oone' [58, 1] (w:1, o:58, a:1, s:1, b:0),
% 8.49/8.85 'c_Power_Opower__class_Opower' [59, 3] (w:1, o:121, a:1, s:1, b:0),
% 8.49/8.85 'class_OrderedGroup_Ocomm__monoid__mult' [61, 1] (w:1, o:59, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_Ring__and__Field_Ofield' [63, 1] (w:1, o:60, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Odivision__by__zero' [64, 1] (w:1, o:61, a:1
% 8.49/8.85 , s:1, b:0),
% 8.49/8.85 'c_HOL_Oinverse__class_Odivide' [65, 3] (w:1, o:122, a:1, s:1, b:0),
% 8.49/8.85
% 8.49/8.85 'c_HOL_Oinverse__class_Oinverse' [68, 2] (w:1, o:116, a:1, s:1, b:0)
% 8.49/8.85 ,
% 8.49/8.85 'class_Ring__and__Field_Oordered__semiring__strict' [69, 1] (w:1, o:
% 8.49/8.85 63, a:1, s:1, b:0),
% 8.49/8.85 'c_HOL_Oord__class_Oless' [72, 3] (w:1, o:123, a:1, s:1, b:0),
% 8.49/8.85 'c_lessequals' [73, 3] (w:1, o:124, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Oordered__semiring' [74, 1] (w:1, o:64, a:1
% 8.49/8.85 , s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Oordered__ring__strict' [75, 1] (w:1, o:62
% 8.49/8.85 , a:1, s:1, b:0),
% 8.49/8.85 'class_OrderedGroup_Oab__semigroup__idem__mult' [80, 1] (w:1, o:65
% 8.49/8.85 , a:1, s:1, b:0),
% 8.49/8.85 'class_OrderedGroup_Oab__semigroup__mult' [81, 1] (w:1, o:66, a:1, s:
% 8.49/8.85 1, b:0),
% 8.49/8.85 'c_Parity_Oeven__odd__class_Oeven' [82, 2] (w:1, o:117, a:1, s:1, b:0
% 8.49/8.85 ),
% 8.49/8.85 'class_Ring__and__Field_Oordered__comm__semiring__strict' [83, 1] (w:
% 8.49/8.85 1, o:67, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Omult__mono1' [84, 1] (w:1, o:54, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_Ring__and__Field_Omult__mono' [85, 1] (w:1, o:55, a:1, s:1, b:
% 8.49/8.85 0),
% 8.49/8.85 'class_Ring__and__Field_Opordered__ring' [86, 1] (w:1, o:71, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_Ring__and__Field_Opordered__cancel__semiring' [87, 1] (w:1, o:
% 8.49/8.85 72, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Opordered__semiring' [88, 1] (w:1, o:73, a:1
% 8.49/8.85 , s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Oordered__semidom' [89, 1] (w:1, o:68, a:1
% 8.49/8.85 , s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Oring' [91, 1] (w:1, o:74, a:1, s:1, b:0),
% 8.49/8.85 'class_Int_Onumber' [92, 1] (w:1, o:75, a:1, s:1, b:0),
% 8.49/8.85 'c_Int_Onumber__class_Onumber__of' [94, 2] (w:1, o:118, a:1, s:1, b:0
% 8.49/8.85 ),
% 8.49/8.85 'c_Int_OMin' [95, 0] (w:1, o:35, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Odivision__ring' [96, 1] (w:1, o:76, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_Int_Onumber__ring' [97, 1] (w:1, o:77, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Oordered__idom' [98, 1] (w:1, o:69, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_Ring__and__Field_Oordered__field' [99, 1] (w:1, o:70, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_Ring__and__Field_Ozero__neq__one' [100, 1] (w:1, o:78, a:1, s:
% 8.49/8.85 1, b:0),
% 8.49/8.85 'class_Power_Opower' [101, 1] (w:1, o:85, a:1, s:1, b:0),
% 8.49/8.85 'class_OrderedGroup_Opordered__ab__group__add' [102, 1] (w:1, o:79
% 8.49/8.85 , a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Osemiring__0' [103, 1] (w:1, o:87, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_Orderings_Olinorder' [110, 1] (w:1, o:80, a:1, s:1, b:0),
% 8.49/8.85 'class_Orderings_Opreorder' [111, 1] (w:1, o:82, a:1, s:1, b:0),
% 8.49/8.85 'class_Orderings_Oorder' [112, 1] (w:1, o:81, a:1, s:1, b:0),
% 8.49/8.85 'class_Int_Oring__char__0' [113, 1] (w:1, o:88, a:1, s:1, b:0),
% 8.49/8.85 'class_Ring__and__Field_Oring__1__no__zero__divisors' [115, 1] (w:1
% 8.49/8.85 , o:86, a:1, s:1, b:0),
% 8.49/8.85 't_a' [116, 0] (w:1, o:39, a:1, s:1, b:0),
% 8.49/8.85 'v_a' [117, 0] (w:1, o:40, a:1, s:1, b:0),
% 8.49/8.85 'class_RealVector_Oreal__normed__field' [118, 1] (w:1, o:89, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_OrderedGroup_Oab__group__add' [119, 1] (w:1, o:83, a:1, s:1
% 8.49/8.85 , b:0),
% 8.49/8.85 'class_OrderedGroup_Ogroup__add' [120, 1] (w:1, o:84, a:1, s:1, b:0)
% 43.68/44.02 ,
% 43.68/44.02 'class_Ring__and__Field_Oidom' [121, 1] (w:1, o:90, a:1, s:1, b:0),
% 43.68/44.02 'v_x' [122, 0] (w:1, o:41, a:1, s:1, b:0),
% 43.68/44.02 'tc_Int_Oint' [124, 0] (w:1, o:43, a:1, s:1, b:0).
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Starting Search:
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 5669
% 43.68/44.02 Kept: 2004
% 43.68/44.02 Inuse: 163
% 43.68/44.02 Deleted: 3
% 43.68/44.02 Deletedinuse: 0
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 16023
% 43.68/44.02 Kept: 4043
% 43.68/44.02 Inuse: 310
% 43.68/44.02 Deleted: 6
% 43.68/44.02 Deletedinuse: 0
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 24153
% 43.68/44.02 Kept: 6063
% 43.68/44.02 Inuse: 395
% 43.68/44.02 Deleted: 6
% 43.68/44.02 Deletedinuse: 0
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 38436
% 43.68/44.02 Kept: 8441
% 43.68/44.02 Inuse: 487
% 43.68/44.02 Deleted: 11
% 43.68/44.02 Deletedinuse: 3
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 61648
% 43.68/44.02 Kept: 10462
% 43.68/44.02 Inuse: 508
% 43.68/44.02 Deleted: 14
% 43.68/44.02 Deletedinuse: 4
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 79423
% 43.68/44.02 Kept: 12561
% 43.68/44.02 Inuse: 541
% 43.68/44.02 Deleted: 243
% 43.68/44.02 Deletedinuse: 233
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 87518
% 43.68/44.02 Kept: 14677
% 43.68/44.02 Inuse: 596
% 43.68/44.02 Deleted: 245
% 43.68/44.02 Deletedinuse: 235
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 95121
% 43.68/44.02 Kept: 16786
% 43.68/44.02 Inuse: 612
% 43.68/44.02 Deleted: 284
% 43.68/44.02 Deletedinuse: 235
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 109077
% 43.68/44.02 Kept: 19054
% 43.68/44.02 Inuse: 617
% 43.68/44.02 Deleted: 304
% 43.68/44.02 Deletedinuse: 235
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying clauses:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 124910
% 43.68/44.02 Kept: 21735
% 43.68/44.02 Inuse: 624
% 43.68/44.02 Deleted: 3794
% 43.68/44.02 Deletedinuse: 235
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 131930
% 43.68/44.02 Kept: 23755
% 43.68/44.02 Inuse: 664
% 43.68/44.02 Deleted: 3794
% 43.68/44.02 Deletedinuse: 235
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 139037
% 43.68/44.02 Kept: 25829
% 43.68/44.02 Inuse: 704
% 43.68/44.02 Deleted: 3794
% 43.68/44.02 Deletedinuse: 235
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 147290
% 43.68/44.02 Kept: 27963
% 43.68/44.02 Inuse: 751
% 43.68/44.02 Deleted: 3798
% 43.68/44.02 Deletedinuse: 236
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 161673
% 43.68/44.02 Kept: 30146
% 43.68/44.02 Inuse: 786
% 43.68/44.02 Deleted: 3801
% 43.68/44.02 Deletedinuse: 239
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 177750
% 43.68/44.02 Kept: 33000
% 43.68/44.02 Inuse: 824
% 43.68/44.02 Deleted: 3803
% 43.68/44.02 Deletedinuse: 239
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 191869
% 43.68/44.02 Kept: 35017
% 43.68/44.02 Inuse: 869
% 43.68/44.02 Deleted: 3805
% 43.68/44.02 Deletedinuse: 241
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 214938
% 43.68/44.02 Kept: 38271
% 43.68/44.02 Inuse: 894
% 43.68/44.02 Deleted: 3805
% 43.68/44.02 Deletedinuse: 241
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 228150
% 43.68/44.02 Kept: 40659
% 43.68/44.02 Inuse: 919
% 43.68/44.02 Deleted: 3805
% 43.68/44.02 Deletedinuse: 241
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying clauses:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 241377
% 43.68/44.02 Kept: 42892
% 43.68/44.02 Inuse: 943
% 43.68/44.02 Deleted: 5009
% 43.68/44.02 Deletedinuse: 241
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 255071
% 43.68/44.02 Kept: 45126
% 43.68/44.02 Inuse: 989
% 43.68/44.02 Deleted: 5010
% 43.68/44.02 Deletedinuse: 242
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 269429
% 43.68/44.02 Kept: 47296
% 43.68/44.02 Inuse: 1004
% 43.68/44.02 Deleted: 5010
% 43.68/44.02 Deletedinuse: 242
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 281784
% 43.68/44.02 Kept: 49363
% 43.68/44.02 Inuse: 1039
% 43.68/44.02 Deleted: 5014
% 43.68/44.02 Deletedinuse: 246
% 43.68/44.02
% 43.68/44.02 Resimplifying inuse:
% 43.68/44.02 Done
% 43.68/44.02
% 43.68/44.02
% 43.68/44.02 Intermediate Status:
% 43.68/44.02 Generated: 296512
% 43.68/44.02 Kept: 51618
% 300.06/300.45 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------