TSTP Solution File: SWV616-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV616-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 16:27:09 EDT 2022
% Result : Timeout 300.03s 300.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV616-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Thu Jun 16 01:52:25 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.96/1.33 *** allocated 10000 integers for termspace/termends
% 0.96/1.33 *** allocated 10000 integers for clauses
% 0.96/1.33 *** allocated 10000 integers for justifications
% 0.96/1.33 *** allocated 15000 integers for termspace/termends
% 0.96/1.33 *** allocated 22500 integers for termspace/termends
% 0.96/1.33 Bliksem 1.12
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Automatic Strategy Selection
% 0.96/1.33
% 0.96/1.33 Clauses:
% 0.96/1.33 [
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.96/1.33 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.96/1.33 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.96/1.33 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.96/1.33 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.96/1.33 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.33 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.96/1.33 Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.33 Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.96/1.33 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.96/1.33 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.96/1.33 , X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.33 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.33 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.33 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ), =( Z, Y ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.33 , X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.33 , X ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'v_k', 'tc_nat' ) ],
% 0.96/1.33 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.96/1.33 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.96/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.96/1.33 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.96/1.33 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.33 , X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.96/1.33 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.96/1.33 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.33 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.33 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.96/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.96/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.33 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 0.96/1.33 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.33 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.33 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.33 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.33 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.96/1.33 X ), X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.96/1.33 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.96/1.33 X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.96/1.33 Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.33 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.33 , X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.96/1.33 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.96/1.33 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.96/1.33 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.96/1.33 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.96/1.33 , X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.96/1.33 , X ), T, X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.96/1.33 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.96/1.33 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.96/1.33 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.96/1.33 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.96/1.33 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.33 , X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.96/1.33 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.96/1.33 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.96/1.33 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 T, X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.96/1.33 , X, 'tc_nat' ), X ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.96/1.33 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.33 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ) ) ), =( Y, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.96/1.33 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.96/1.33 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.96/1.33 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.96/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.96/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.96/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.96/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.96/1.33 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.96/1.33 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.96/1.33 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.96/1.33 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.96/1.33 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.96/1.33 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.96/1.33 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.96/1.33 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.96/1.33 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.96/1.33 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.96/1.33 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.96/1.33 ), X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.96/1.33 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.96/1.33 ), X ), Y ) ],
% 0.96/1.33 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.96/1.33 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.96/1.33 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.33 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.33 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.96/1.33 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.33 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.33 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.33 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.96/1.33 X ), X ), Y ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ), =( Y, Z ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.96/1.33 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.33 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.33 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.96/1.33 , X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.96/1.33 Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.96/1.33 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.96/1.33 , Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.96/1.33 , T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.96/1.33 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.33 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.96/1.33 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.33 , T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.96/1.33 T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.96/1.33 T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.33 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.96/1.33 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , Z, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.96/1.33 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.96/1.33 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , T, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , T, X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.96/1.33 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.33 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.96/1.33 Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.96/1.33 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.96/1.33 W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.96/1.33 , X ), T, X ), W, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.96/1.33 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.96/1.33 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.96/1.33 W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.96/1.33 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.33 , X ), W, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.96/1.33 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.96/1.33 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.96/1.33 Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.33 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.96/1.33 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.33 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.33 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.96/1.33 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.96/1.33 X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.33 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.96/1.33 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.33 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.96/1.33 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.96/1.33 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.96/1.33 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.33 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.96/1.33 ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.96/1.33 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.33 , Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.33 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.33 , X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.96/1.33 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.96/1.33 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.33 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.33 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.33 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.96/1.33 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.33 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.96/1.33 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.33 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.96/1.33 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.33 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.96/1.33 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.96/1.33 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.96/1.33 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.33 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.33 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.33 X ), T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.96/1.33 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.33 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.96/1.33 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.96/1.33 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.96/1.33 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.96/1.33 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.96/1.33 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.96/1.33 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.96/1.33 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.33 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.96/1.33 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.96/1.33 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.96/1.33 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.96/1.33 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.34 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 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_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( 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_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 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_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'( 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_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'( Y,
% 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 ), Z, X ), ~( 'c_lessequals'( Y,
% 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 ) ), '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_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_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__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, 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_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, 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, 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_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.34 ), Y ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.34 ), Y ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.34 ), Y ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 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'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.96/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 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, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.96/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 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, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.96/1.34 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.96/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.96/1.34 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 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 [ ~( '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_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( '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_Ocomm__semiring__1'( X ) ),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.96/1.34 X ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 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_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_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_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_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_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'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 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__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.34 X ), T, 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_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.96/1.34 X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.96/1.34 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.34 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.34 X ), 'c_HOL_Oone__class_Oone'( 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_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 ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, 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_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, 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 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), '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__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_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), 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_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 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 ),
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, 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 ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 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_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( 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__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'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.96/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.96/1.34 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 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_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, 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_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.34 , X ), '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_HOL_Oone__class_Oone'( X ), 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 '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_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( 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_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 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 ), 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 ), ~(
% 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 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.34 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.96/1.34 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.96/1.34 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.96/1.34 X ), X ) ) ],
% 0.96/1.34 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.96/1.34 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.96/1.34 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( '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_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_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.96/1.34 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_Complex_Ocomplex' ) ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, 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 ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.96/1.34 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), '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_Oabs__if'( X ) ), =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), '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_Ocomm__semiring__1'( X ) ),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.96/1.34 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.96/1.34 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 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_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'(
% 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'( 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'( 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_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.96/1.34 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.96/1.34 ,
% 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_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__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_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__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'( 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__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_Ocomm__semiring__1'( X ) ),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.96/1.34 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.34 X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Z, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.34 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.96/1.34 X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.34 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.34 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.96/1.34 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 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'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.96/1.34 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 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'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.96/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.96/1.34 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.96/1.34 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.34 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 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_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.34 ) ) ],
% 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__idom'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.34 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.96/1.34 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.96/1.34 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( 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 ),
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 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_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_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( '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_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.96/1.34 , X ) ) ],
% 0.96/1.34 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( '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_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.96/1.34 , X ) ) ],
% 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'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 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_Ouminus__class_Ouminus'( Y, 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_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.96/1.34 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.96/1.34 Y, 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_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 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.96/1.34 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.96/1.34 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.34 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.96/1.34 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.96/1.34 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 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'(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.96/1.34 ), ~( 'c_HOL_Oord__class_Oless'( Y, 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'(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.96/1.34 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 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 ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, 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 ) ) ],
% 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_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 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_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, 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__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( 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_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.34 X ) ) ],
% 0.96/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.96/1.34 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.96/1.34 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.96/1.34 X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.96/1.34 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.34 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.96/1.34 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.34 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.34 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.96/1.34 , T, X ), X ), T, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.96/1.34 ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.34 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.34 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.34 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.96/1.34 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.34 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.34 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.96/1.34 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.34 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.34 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.96/1.34 ), Y ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ), =( Y, Z ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.34 ) ), =( Y, Z ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.34 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 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_Oab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.34 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.34 , U, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.96/1.34 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.96/1.34 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.34 Z, Y, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.96/1.34 ), Y ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.96/1.34 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__field'( 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, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.96/1.34 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), 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_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.96/1.34 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), T, 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_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.96/1.34 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.96/1.34 Y, X ), Z, 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_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.96/1.34 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 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, Z, 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_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.96/1.34 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.96/1.34 Z, T, 'tc_nat' ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.96/1.34 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.96/1.34 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 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'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.96/1.34 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 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_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( X ), 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 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.34 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.34 Y, 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_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.34 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( 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 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.96/1.34 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, 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_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_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.34 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.34 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 Y, Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( '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_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 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_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 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__field'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( '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_Oordered__field'( X ) ), ~(
% 0.96/1.34 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.96/1.34 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.96/1.34 'c_HOL_Oabs__class_Oabs'( 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 '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 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.96/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.96/1.34 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.96/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.96/1.34 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_Complex_Ocomplex' ),
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( Y ), Z,
% 0.96/1.34 'tc_Complex_Ocomplex' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.96/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.96/1.34 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.34 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.96/1.34 ) ) ) ],
% 0.96/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.96/1.34 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ominus__class_Ominus'( 'c_Complex_Ocnj'(
% 0.96/1.34 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.34 [ =( 'c_Complex_Ocnj'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.96/1.34 'tc_Complex_Ocomplex' ) ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_Complex_Ocnj'( X ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.96/1.34 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.96/1.34 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.34 'tc_Complex_Ocomplex' ) ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.96/1.34 ), Y, X ) ), =( Z, T ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.96/1.34 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.34 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.34 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.96/1.34 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.96/1.34 ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.34 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.34 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.96/1.34 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.96/1.34 , 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'( Y
% 0.96/1.34 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.34 ), =( Y, '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'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.34 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.96/1.34 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.34 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.96/1.34 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.34 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.34 [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 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 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.34 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.34 Z, T, X ), X ) ) ],
% 0.96/1.34 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 0.96/1.34 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.96/1.34 ) ) ],
% 0.96/1.34 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.34 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.34 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.96/1.34 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.96/1.34 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( 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_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.34 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.96/1.34 , T, X ) ) ), =( Z, T ) ],
% 0.96/1.34 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.96/1.34 , T, X ) ) ), =( Y, Z ) ],
% 0.96/1.34 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ), 'v_n'
% 0.96/1.34 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 0.96/1.34 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.96/1.34 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_n'
% 0.96/1.34 , 'tc_Complex_Ocomplex' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.96/1.34 ), 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 0.96/1.34 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 0.96/1.34 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.96/1.34 ), 'tc_Complex_Ocomplex' ) ) ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.96/1.34 ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.96/1.34 ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.96/1.34 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.96/1.34 ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.96/1.34 ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.96/1.34 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.96/1.34 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.96/1.34 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.96/1.34 ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.96/1.34 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ]
% 0.96/1.34 ] .
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34 percentage equality = 0.189320, percentage horn = 0.863248
% 0.96/1.34 This is a problem with some equality
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34 Options Used:
% 0.96/1.34
% 0.96/1.34 useres = 1
% 0.96/1.34 useparamod = 1
% 0.96/1.34 useeqrefl = 1
% 0.96/1.34 useeqfact = 1
% 0.96/1.34 usefactor = 1
% 0.96/1.34 usesimpsplitting = 0
% 0.96/1.34 usesimpdemod = 5
% 0.96/1.34 usesimpres = 3
% 0.96/1.34
% 0.96/1.34 resimpinuse = 1000
% 0.96/1.34 resimpclauses = 20000
% 0.96/1.34 substype = eqrewr
% 0.96/1.34 backwardsubs = 1
% 0.96/1.34 selectoldest = 5
% 0.96/1.34
% 0.96/1.34 litorderings [0] = split
% 0.96/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.34
% 0.96/1.34 termordering = kbo
% 0.96/1.34
% 0.96/1.34 litapriori = 0
% 0.96/1.34 termapriori = 1
% 0.96/1.34 litaposteriori = 0
% 0.96/1.34 termaposteriori = 0
% 0.96/1.34 demodaposteriori = 0
% 0.96/1.34 ordereqreflfact = 0
% 0.96/1.34
% 0.96/1.34 litselect = negord
% 0.96/1.34
% 0.96/1.34 maxweight = 15
% 0.96/1.34 maxdepth = 30000
% 0.96/1.34 maxlength = 115
% 0.96/1.34 maxnrvars = 195
% 0.96/1.34 excuselevel = 1
% 0.96/1.34 increasemaxweight = 1
% 0.96/1.34
% 0.96/1.34 maxselected = 10000000
% 0.96/1.34 maxnrclauses = 10000000
% 0.96/1.34
% 0.96/1.34 showgenerated = 0
% 0.96/1.34 showkept = 0
% 0.96/1.34 showselected = 0
% 0.96/1.34 showdeleted = 0
% 0.96/1.34 showresimp = 1
% 0.96/1.34 showstatus = 2000
% 0.96/1.34
% 0.96/1.34 prologoutput = 1
% 0.96/1.34 nrgoals = 5000000
% 0.96/1.34 totalproof = 1
% 0.96/1.34
% 0.96/1.34 Symbols occurring in the translation:
% 0.96/1.34
% 0.96/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.34 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.96/1.52 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 0.96/1.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.52 'class_Orderings_Olinorder' [40, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.96/1.52 'c_Orderings_Oord__class_Omin' [43, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.96/1.52 'c_Orderings_Oord__class_Omax' [45, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.96/1.52 'class_Orderings_Oorder' [46, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.96/1.52 'c_HOL_Oord__class_Oless' [47, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.96/1.52 'c_lessequals' [48, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Odvd' [51, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Ocomm__ring' [52, 1] (w:1, o:57, a:1, s:1, b:
% 0.96/1.52 0),
% 0.96/1.52 'c_HOL_Oplus__class_Oplus' [55, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.96/1.52 'c_Ring__and__Field_Odvd__class_Odvd' [56, 3] (w:1, o:162, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'c_HOL_Otimes__class_Otimes' [59, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.96/1.52 'c_HOL_Ominus__class_Ominus' [60, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.96/1.52 'class_Divides_Osemiring__div' [61, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.96/1.52 'c_Divides_Odiv__class_Omod' [63, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Odivision__by__zero' [64, 1] (w:1, o:64, a:1
% 0.96/1.52 , s:1, b:0),
% 0.96/1.52 'c_HOL_Ozero__class_Ozero' [65, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.96/1.52 'c_HOL_Oinverse__class_Oinverse' [66, 2] (w:1, o:152, a:1, s:1, b:0)
% 0.96/1.52 ,
% 0.96/1.52 'class_Ring__and__Field_Odivision__ring' [67, 1] (w:1, o:66, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'class_Ring__and__Field_Oordered__semiring__strict' [68, 1] (w:1, o:
% 0.96/1.52 71, a:1, s:1, b:0),
% 0.96/1.52 'class_OrderedGroup_Oab__semigroup__idem__mult' [69, 1] (w:1, o:72
% 0.96/1.52 , a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Oordered__field' [70, 1] (w:1, o:73, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'c_HOL_Oinverse__class_Odivide' [71, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.96/1.52
% 0.96/1.52 'c_HOL_Oone__class_Oone' [72, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Oordered__ring__strict' [73, 1] (w:1, o:70
% 0.96/1.52 , a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Oidom' [74, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.96/1.52 'class_Int_Onumber__ring' [75, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Opordered__ring' [77, 1] (w:1, o:81, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'class_Ring__and__Field_Omult__mono' [78, 1] (w:1, o:82, a:1, s:1, b:
% 0.96/1.52 0),
% 0.96/1.52 'class_Ring__and__Field_Omult__mono1' [79, 1] (w:1, o:83, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'class_OrderedGroup_Olordered__ab__group__add' [80, 1] (w:1, o:84, a:
% 0.96/1.52 1, s:1, b:0),
% 0.96/1.52 'c_HOL_Ouminus__class_Ouminus' [81, 2] (w:1, o:153, a:1, s:1, b:0),
% 0.96/1.52 'class_RealVector_Oreal__normed__field' [82, 1] (w:1, o:85, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'tc_nat' [84, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Oordered__semidom' [87, 1] (w:1, o:77, a:1
% 0.96/1.52 , s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Ocomm__semiring__1' [88, 1] (w:1, o:59, a:1
% 0.96/1.52 , s:1, b:0),
% 0.96/1.52 'class_OrderedGroup_Ogroup__add' [89, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.96/1.52
% 0.96/1.52 'class_OrderedGroup_Opordered__ab__group__add__abs' [90, 1] (w:1, o:
% 0.96/1.52 88, a:1, s:1, b:0),
% 0.96/1.52 'c_HOL_Oabs__class_Oabs' [91, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Oordered__idom' [92, 1] (w:1, o:78, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'class_Ring__and__Field_Osemiring__0' [93, 1] (w:1, o:93, a:1, s:1
% 0.96/1.52 , b:0),
% 0.96/1.52 'class_Power_Opower' [94, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.96/1.52 'c_Power_Opower__class_Opower' [95, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Ozero__neq__one' [96, 1] (w:1, o:111, a:1, s:
% 0.96/1.52 1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Ono__zero__divisors' [97, 1] (w:1, o:69, a:1
% 0.96/1.52 , s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Omult__zero' [98, 1] (w:1, o:68, a:1, s:1, b:
% 0.96/1.52 0),
% 0.96/1.52 'class_OrderedGroup_Opordered__ab__group__add' [99, 1] (w:1, o:94, a:
% 0.96/1.52 1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Oring' [100, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.96/1.52 'class_Ring__and__Field_Opordered__ring__abs' [101, 1] (w:1, o:112
% 0.96/1.52 , a:1, s:1, b:0),
% 0.96/1.52 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [102, 1]
% 0.96/1.52 (w:1, o:95, a:1, s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Opordered__ab__semigroup__add' [103, 1] (w:1, o:
% 15.02/15.39 96, a:1, s:1, b:0),
% 15.02/15.39 'class_Lattices_Oboolean__algebra' [104, 1] (w:1, o:113, a:1, s:1, b:
% 15.02/15.39 0),
% 15.02/15.39 'class_Ring__and__Field_Ofield' [105, 1] (w:1, o:114, a:1, s:1, b:0)
% 15.02/15.39 ,
% 15.02/15.39 'class_OrderedGroup_Olordered__ab__group__add__abs' [106, 1] (w:1, o:
% 15.02/15.39 97, a:1, s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Opordered__cancel__semiring' [107, 1] (w:1
% 15.02/15.39 , o:115, a:1, s:1, b:0),
% 15.02/15.39 'v_k' [108, 0] (w:1, o:38, a:1, s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Oab__semigroup__mult' [109, 1] (w:1, o:98, a:1
% 15.02/15.39 , s:1, b:0),
% 15.02/15.39 'class_RealVector_Oreal__normed__algebra' [114, 1] (w:1, o:116, a:1
% 15.02/15.39 , s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Ocomm__semiring' [119, 1] (w:1, o:60, a:1, s:
% 15.02/15.39 1, b:0),
% 15.02/15.39 'class_OrderedGroup_Oordered__ab__group__add' [121, 1] (w:1, o:87, a:
% 15.02/15.39 1, s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Opordered__semiring' [122, 1] (w:1, o:117, a:
% 15.02/15.39 1, s:1, b:0),
% 15.02/15.39 'class_Divides_Oring__div' [123, 1] (w:1, o:62, a:1, s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Oab__group__add' [124, 1] (w:1, o:99, a:1, s:1
% 15.02/15.39 , b:0),
% 15.02/15.39 'class_Ring__and__Field_Ocomm__ring__1' [125, 1] (w:1, o:58, a:1, s:1
% 15.02/15.39 , b:0),
% 15.02/15.39 'class_OrderedGroup_Opordered__comm__monoid__add' [126, 1] (w:1, o:
% 15.02/15.39 100, a:1, s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Oring__no__zero__divisors' [127, 1] (w:1, o:
% 15.02/15.39 90, a:1, s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Oabs__if' [128, 1] (w:1, o:118, a:1, s:1, b:0
% 15.02/15.39 ),
% 15.02/15.39 'class_Ring__and__Field_Oordered__semiring' [129, 1] (w:1, o:79, a:1
% 15.02/15.39 , s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Ocomm__monoid__add' [131, 1] (w:1, o:101, a:1, s:
% 15.02/15.39 1, b:0),
% 15.02/15.39 'class_RealVector_Oreal__vector' [132, 1] (w:1, o:119, a:1, s:1, b:0)
% 15.02/15.39 ,
% 15.02/15.39 'c_RealVector_OscaleR__class_OscaleR' [133, 3] (w:1, o:168, a:1, s:1
% 15.02/15.39 , b:0),
% 15.02/15.39 'class_RealVector_Oreal__normed__vector' [134, 1] (w:1, o:120, a:1
% 15.02/15.39 , s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Olordered__ring' [135, 1] (w:1, o:67, a:1, s:
% 15.02/15.39 1, b:0),
% 15.02/15.39 'class_OrderedGroup_Ocancel__ab__semigroup__add' [136, 1] (w:1, o:102
% 15.02/15.39 , a:1, s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Ocancel__semigroup__add' [137, 1] (w:1, o:103, a:
% 15.02/15.39 1, s:1, b:0),
% 15.02/15.39 'class_RealVector_Oreal__algebra' [138, 1] (w:1, o:121, a:1, s:1, b:0
% 15.02/15.39 ),
% 15.02/15.39 'class_SEQ_Obanach' [139, 1] (w:1, o:124, a:1, s:1, b:0),
% 15.02/15.39 'c_Transcendental_Oexp' [140, 2] (w:1, o:155, a:1, s:1, b:0),
% 15.02/15.39 'c_RealVector_Onorm__class_Onorm' [142, 2] (w:1, o:156, a:1, s:1, b:0
% 15.02/15.39 ),
% 15.02/15.39 'c_Complex_Ocnj' [144, 1] (w:1, o:125, a:1, s:1, b:0),
% 15.02/15.39 'tc_Complex_Ocomplex' [146, 0] (w:1, o:45, a:1, s:1, b:0),
% 15.02/15.39 'class_Orderings_Opreorder' [147, 1] (w:1, o:104, a:1, s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Oab__semigroup__add' [148, 1] (w:1, o:105, a:1
% 15.02/15.39 , s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Osemiring' [149, 1] (w:1, o:122, a:1, s:1, b:
% 15.02/15.39 0),
% 15.02/15.39 'class_Ring__and__Field_Oordered__comm__semiring__strict' [150, 1]
% 15.02/15.39 (w:1, o:80, a:1, s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Omonoid__add' [153, 1] (w:1, o:106, a:1, s:1, b:0
% 15.02/15.39 ),
% 15.02/15.39 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [154, 1]
% 15.02/15.39 (w:1, o:107, a:1, s:1, b:0),
% 15.02/15.39 'class_OrderedGroup_Omonoid__mult' [155, 1] (w:1, o:108, a:1, s:1, b:
% 15.02/15.39 0),
% 15.02/15.39 'class_OrderedGroup_Ocomm__monoid__mult' [156, 1] (w:1, o:109, a:1
% 15.02/15.39 , s:1, b:0),
% 15.02/15.39 'class_Ring__and__Field_Oring__1' [157, 1] (w:1, o:91, a:1, s:1, b:0)
% 15.02/15.39 ,
% 15.02/15.39 'c_Complex_Oii' [158, 0] (w:1, o:47, a:1, s:1, b:0),
% 15.02/15.39 'class_RealVector_Oreal__field' [162, 1] (w:1, o:123, a:1, s:1, b:0)
% 15.02/15.39 ,
% 15.02/15.39 'class_Ring__and__Field_Oring__1__no__zero__divisors' [164, 1] (w:1
% 15.02/15.39 , o:92, a:1, s:1, b:0),
% 15.02/15.39 'c_FFT__Mirabelle_Oroot' [166, 1] (w:1, o:126, a:1, s:1, b:0),
% 15.02/15.39 'v_n' [167, 0] (w:1, o:48, a:1, s:1, b:0),
% 15.02/15.39 'tc_RealDef_Oreal' [168, 0] (w:1, o:49, a:1, s:1, b:0).
% 15.02/15.39
% 15.02/15.39
% 15.02/15.39 Starting Search:
% 15.02/15.39
% 15.02/15.39 Resimplifying inuse:
% 15.02/15.39 Done
% 15.02/15.39
% 15.02/15.39
% 15.02/15.39 Intermediate Status:
% 15.02/15.39 Generated: 6059
% 15.02/15.39 Kept: 2005
% 15.02/15.39 Inuse: 93
% 15.02/15.39 Deleted: 0
% 15.02/15.39 Deletedinuse: 0
% 15.02/15.39
% 15.02/15.39 Resimplifying inuse:
% 15.02/15.39 Done
% 15.02/15.39
% 15.02/15.39 Resimplifying inuse:
% 15.02/15.39 Done
% 15.02/15.39
% 15.02/15.39
% 15.02/15.39 Intermediate Status:
% 15.02/15.39 Generated: 13817
% 50.37/50.74 Kept: 4005
% 50.37/50.74 Inuse: 163
% 50.37/50.74 Deleted: 0
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 25034
% 50.37/50.74 Kept: 6282
% 50.37/50.74 Inuse: 225
% 50.37/50.74 Deleted: 2
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 35765
% 50.37/50.74 Kept: 8325
% 50.37/50.74 Inuse: 304
% 50.37/50.74 Deleted: 2
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 46578
% 50.37/50.74 Kept: 10332
% 50.37/50.74 Inuse: 399
% 50.37/50.74 Deleted: 2
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 60342
% 50.37/50.74 Kept: 12700
% 50.37/50.74 Inuse: 429
% 50.37/50.74 Deleted: 2
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 71349
% 50.37/50.74 Kept: 14708
% 50.37/50.74 Inuse: 452
% 50.37/50.74 Deleted: 2
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 82575
% 50.37/50.74 Kept: 16779
% 50.37/50.74 Inuse: 514
% 50.37/50.74 Deleted: 2
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 94740
% 50.37/50.74 Kept: 18891
% 50.37/50.74 Inuse: 584
% 50.37/50.74 Deleted: 2
% 50.37/50.74 Deletedinuse: 0
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying clauses:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 103449
% 50.37/50.74 Kept: 20898
% 50.37/50.74 Inuse: 622
% 50.37/50.74 Deleted: 393
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 114933
% 50.37/50.74 Kept: 23090
% 50.37/50.74 Inuse: 647
% 50.37/50.74 Deleted: 393
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 129040
% 50.37/50.74 Kept: 25137
% 50.37/50.74 Inuse: 692
% 50.37/50.74 Deleted: 393
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 139962
% 50.37/50.74 Kept: 27274
% 50.37/50.74 Inuse: 742
% 50.37/50.74 Deleted: 393
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 159417
% 50.37/50.74 Kept: 29690
% 50.37/50.74 Inuse: 765
% 50.37/50.74 Deleted: 393
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 186614
% 50.37/50.74 Kept: 32478
% 50.37/50.74 Inuse: 786
% 50.37/50.74 Deleted: 394
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 199748
% 50.37/50.74 Kept: 34648
% 50.37/50.74 Inuse: 846
% 50.37/50.74 Deleted: 394
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 213455
% 50.37/50.74 Kept: 37367
% 50.37/50.74 Inuse: 876
% 50.37/50.74 Deleted: 394
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 223565
% 50.37/50.74 Kept: 39426
% 50.37/50.74 Inuse: 916
% 50.37/50.74 Deleted: 394
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying clauses:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 233458
% 50.37/50.74 Kept: 41430
% 50.37/50.74 Inuse: 952
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 250435
% 50.37/50.74 Kept: 43864
% 50.37/50.74 Inuse: 976
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 277820
% 50.37/50.74 Kept: 46929
% 50.37/50.74 Inuse: 986
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 299445
% 50.37/50.74 Kept: 50171
% 50.37/50.74 Inuse: 1001
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 322315
% 50.37/50.74 Kept: 52691
% 50.37/50.74 Inuse: 1021
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 331857
% 50.37/50.74 Kept: 55003
% 50.37/50.74 Inuse: 1041
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 339319
% 50.37/50.74 Kept: 57112
% 50.37/50.74 Inuse: 1061
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74
% 50.37/50.74 Intermediate Status:
% 50.37/50.74 Generated: 351393
% 50.37/50.74 Kept: 59204
% 50.37/50.74 Inuse: 1086
% 50.37/50.74 Deleted: 724
% 50.37/50.74 Deletedinuse: 3
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying inuse:
% 50.37/50.74 Done
% 50.37/50.74
% 50.37/50.74 Resimplifying clauses:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 360094
% 128.57/129.07 Kept: 61513
% 128.57/129.07 Inuse: 1109
% 128.57/129.07 Deleted: 943
% 128.57/129.07 Deletedinuse: 3
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 375856
% 128.57/129.07 Kept: 63551
% 128.57/129.07 Inuse: 1154
% 128.57/129.07 Deleted: 949
% 128.57/129.07 Deletedinuse: 9
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 388702
% 128.57/129.07 Kept: 65666
% 128.57/129.07 Inuse: 1194
% 128.57/129.07 Deleted: 949
% 128.57/129.07 Deletedinuse: 9
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 401182
% 128.57/129.07 Kept: 67687
% 128.57/129.07 Inuse: 1220
% 128.57/129.07 Deleted: 949
% 128.57/129.07 Deletedinuse: 9
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 420068
% 128.57/129.07 Kept: 70310
% 128.57/129.07 Inuse: 1259
% 128.57/129.07 Deleted: 949
% 128.57/129.07 Deletedinuse: 9
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 440580
% 128.57/129.07 Kept: 72772
% 128.57/129.07 Inuse: 1293
% 128.57/129.07 Deleted: 954
% 128.57/129.07 Deletedinuse: 13
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 461887
% 128.57/129.07 Kept: 75100
% 128.57/129.07 Inuse: 1303
% 128.57/129.07 Deleted: 954
% 128.57/129.07 Deletedinuse: 13
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 479282
% 128.57/129.07 Kept: 77188
% 128.57/129.07 Inuse: 1323
% 128.57/129.07 Deleted: 954
% 128.57/129.07 Deletedinuse: 13
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 506289
% 128.57/129.07 Kept: 79989
% 128.57/129.07 Inuse: 1338
% 128.57/129.07 Deleted: 954
% 128.57/129.07 Deletedinuse: 13
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying clauses:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 522546
% 128.57/129.07 Kept: 83825
% 128.57/129.07 Inuse: 1363
% 128.57/129.07 Deleted: 1356
% 128.57/129.07 Deletedinuse: 13
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 533207
% 128.57/129.07 Kept: 85850
% 128.57/129.07 Inuse: 1371
% 128.57/129.07 Deleted: 1358
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 543745
% 128.57/129.07 Kept: 87963
% 128.57/129.07 Inuse: 1388
% 128.57/129.07 Deleted: 1358
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 571165
% 128.57/129.07 Kept: 90744
% 128.57/129.07 Inuse: 1443
% 128.57/129.07 Deleted: 1358
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 589420
% 128.57/129.07 Kept: 93200
% 128.57/129.07 Inuse: 1453
% 128.57/129.07 Deleted: 1358
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 605402
% 128.57/129.07 Kept: 95528
% 128.57/129.07 Inuse: 1478
% 128.57/129.07 Deleted: 1358
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 619930
% 128.57/129.07 Kept: 97846
% 128.57/129.07 Inuse: 1508
% 128.57/129.07 Deleted: 1358
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 635077
% 128.57/129.07 Kept: 100299
% 128.57/129.07 Inuse: 1538
% 128.57/129.07 Deleted: 1358
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying clauses:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 650672
% 128.57/129.07 Kept: 102575
% 128.57/129.07 Inuse: 1563
% 128.57/129.07 Deleted: 1689
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 662796
% 128.57/129.07 Kept: 104805
% 128.57/129.07 Inuse: 1586
% 128.57/129.07 Deleted: 1689
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 682385
% 128.57/129.07 Kept: 107645
% 128.57/129.07 Inuse: 1613
% 128.57/129.07 Deleted: 1689
% 128.57/129.07 Deletedinuse: 15
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 691968
% 128.57/129.07 Kept: 109776
% 128.57/129.07 Inuse: 1618
% 128.57/129.07 Deleted: 1690
% 128.57/129.07 Deletedinuse: 16
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 710770
% 128.57/129.07 Kept: 111777
% 128.57/129.07 Inuse: 1660
% 128.57/129.07 Deleted: 1690
% 128.57/129.07 Deletedinuse: 16
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 721299
% 128.57/129.07 Kept: 113791
% 128.57/129.07 Inuse: 1681
% 128.57/129.07 Deleted: 1695
% 128.57/129.07 Deletedinuse: 21
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 737288
% 128.57/129.07 Kept: 115806
% 128.57/129.07 Inuse: 1713
% 128.57/129.07 Deleted: 1702
% 128.57/129.07 Deletedinuse: 28
% 128.57/129.07
% 128.57/129.07 Resimplifying inuse:
% 128.57/129.07 Done
% 128.57/129.07
% 128.57/129.07
% 128.57/129.07 Intermediate Status:
% 128.57/129.07 Generated: 754455
% 264.84/265.44 Kept: 118250
% 264.84/265.44 Inuse: 1728
% 264.84/265.44 Deleted: 1704
% 264.84/265.44 Deletedinuse: 30
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 769873
% 264.84/265.44 Kept: 120347
% 264.84/265.44 Inuse: 1762
% 264.84/265.44 Deleted: 1706
% 264.84/265.44 Deletedinuse: 31
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying clauses:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 784709
% 264.84/265.44 Kept: 122439
% 264.84/265.44 Inuse: 1792
% 264.84/265.44 Deleted: 2825
% 264.84/265.44 Deletedinuse: 31
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 796066
% 264.84/265.44 Kept: 124493
% 264.84/265.44 Inuse: 1812
% 264.84/265.44 Deleted: 2828
% 264.84/265.44 Deletedinuse: 34
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 805748
% 264.84/265.44 Kept: 127304
% 264.84/265.44 Inuse: 1817
% 264.84/265.44 Deleted: 2828
% 264.84/265.44 Deletedinuse: 34
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 816045
% 264.84/265.44 Kept: 130158
% 264.84/265.44 Inuse: 1822
% 264.84/265.44 Deleted: 2828
% 264.84/265.44 Deletedinuse: 34
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 845420
% 264.84/265.44 Kept: 132705
% 264.84/265.44 Inuse: 1840
% 264.84/265.44 Deleted: 2830
% 264.84/265.44 Deletedinuse: 34
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 861719
% 264.84/265.44 Kept: 135172
% 264.84/265.44 Inuse: 1854
% 264.84/265.44 Deleted: 2833
% 264.84/265.44 Deletedinuse: 36
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 874604
% 264.84/265.44 Kept: 137682
% 264.84/265.44 Inuse: 1874
% 264.84/265.44 Deleted: 2833
% 264.84/265.44 Deletedinuse: 36
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 890498
% 264.84/265.44 Kept: 139771
% 264.84/265.44 Inuse: 1899
% 264.84/265.44 Deleted: 2833
% 264.84/265.44 Deletedinuse: 36
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying clauses:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 907186
% 264.84/265.44 Kept: 141788
% 264.84/265.44 Inuse: 1932
% 264.84/265.44 Deleted: 3798
% 264.84/265.44 Deletedinuse: 36
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 924739
% 264.84/265.44 Kept: 144428
% 264.84/265.44 Inuse: 1964
% 264.84/265.44 Deleted: 3812
% 264.84/265.44 Deletedinuse: 50
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 949019
% 264.84/265.44 Kept: 147744
% 264.84/265.44 Inuse: 1974
% 264.84/265.44 Deleted: 3813
% 264.84/265.44 Deletedinuse: 51
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 960919
% 264.84/265.44 Kept: 149861
% 264.84/265.44 Inuse: 1998
% 264.84/265.44 Deleted: 3826
% 264.84/265.44 Deletedinuse: 58
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 974865
% 264.84/265.44 Kept: 152029
% 264.84/265.44 Inuse: 2022
% 264.84/265.44 Deleted: 3832
% 264.84/265.44 Deletedinuse: 58
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 984938
% 264.84/265.44 Kept: 154315
% 264.84/265.44 Inuse: 2040
% 264.84/265.44 Deleted: 3834
% 264.84/265.44 Deletedinuse: 58
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 1029504
% 264.84/265.44 Kept: 157891
% 264.84/265.44 Inuse: 2060
% 264.84/265.44 Deleted: 3834
% 264.84/265.44 Deletedinuse: 58
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44
% 264.84/265.44 Intermediate Status:
% 264.84/265.44 Generated: 1065574
% 264.84/265.44 Kept: 160402
% 264.84/265.44 Inuse: 2065
% 264.84/265.44 Deleted: 3834
% 264.84/265.44 Deletedinuse: 58
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying clauses:
% 264.84/265.44 Done
% 264.84/265.44
% 264.84/265.44 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45
% 264.84/265.45 Intermediate Status:
% 264.84/265.45 Generated: 1075442
% 264.84/265.45 Kept: 162620
% 264.84/265.45 Inuse: 2085
% 264.84/265.45 Deleted: 4908
% 264.84/265.45 Deletedinuse: 59
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45
% 264.84/265.45 Intermediate Status:
% 264.84/265.45 Generated: 1091048
% 264.84/265.45 Kept: 165192
% 264.84/265.45 Inuse: 2105
% 264.84/265.45 Deleted: 4908
% 264.84/265.45 Deletedinuse: 59
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45
% 264.84/265.45 Intermediate Status:
% 264.84/265.45 Generated: 1104799
% 264.84/265.45 Kept: 167194
% 264.84/265.45 Inuse: 2123
% 264.84/265.45 Deleted: 4908
% 264.84/265.45 Deletedinuse: 59
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45
% 264.84/265.45 Intermediate Status:
% 264.84/265.45 Generated: 1119548
% 264.84/265.45 Kept: 169209
% 264.84/265.45 Inuse: 2144
% 264.84/265.45 Deleted: 4908
% 264.84/265.45 Deletedinuse: 59
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45
% 264.84/265.45 Intermediate Status:
% 264.84/265.45 Generated: 1128411
% 264.84/265.45 Kept: 171543
% 264.84/265.45 Inuse: 2155
% 264.84/265.45 Deleted: 4908
% 264.84/265.45 Deletedinuse: 59
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45
% 264.84/265.45 Intermediate Status:
% 264.84/265.45 Generated: 1140923
% 264.84/265.45 Kept: 173558
% 264.84/265.45 Inuse: 2174
% 264.84/265.45 Deleted: 4908
% 264.84/265.45 Deletedinuse: 59
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 Done
% 264.84/265.45
% 264.84/265.45 Resimplifying inuse:
% 264.84/265.45 DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------