TSTP Solution File: SWV594-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV594-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 16:26:59 EDT 2022
% Result : Timeout 300.03s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV594-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 16 04:17:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.98/1.38 *** allocated 10000 integers for termspace/termends
% 0.98/1.38 *** allocated 10000 integers for clauses
% 0.98/1.38 *** allocated 10000 integers for justifications
% 0.98/1.38 *** allocated 15000 integers for termspace/termends
% 0.98/1.38 *** allocated 22500 integers for termspace/termends
% 0.98/1.38 *** allocated 33750 integers for termspace/termends
% 0.98/1.38 Bliksem 1.12
% 0.98/1.38
% 0.98/1.38
% 0.98/1.38 Automatic Strategy Selection
% 0.98/1.38
% 0.98/1.38 Clauses:
% 0.98/1.38 [
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.38 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.98/1.38 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.38 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.38 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.38 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.98/1.38 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Osgn__div__norm'( X ) ), =(
% 0.98/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 0.98/1.38 ), 'tc_RealDef_Oreal' ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.38 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.98/1.38 Y, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.38 T, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.98/1.38 Y, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.38 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.38 T, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.38 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.98/1.38 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.98/1.38 Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.98/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.98/1.38 Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.98/1.38 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.38 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.98/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.98/1.38 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.98/1.38 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 0.98/1.38 , 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.98/1.38 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.38 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.38 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.38 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.38 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.38 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.98/1.38 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.38 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 , Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.98/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.98/1.38 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.98/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.98/1.38 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.38 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.98/1.38 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.98/1.38 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.98/1.38 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.38 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.98/1.38 , X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.98/1.38 , X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.38 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.38 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.38 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.38 ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.98/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.38 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.98/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.38 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.98/1.38 , Z ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.98/1.38 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.98/1.38 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.98/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.98/1.38 X ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.98/1.38 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.98/1.38 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.98/1.38 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.98/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.38 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.38 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.38 Y, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.38 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.38 Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.98/1.38 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.98/1.38 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.98/1.38 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.98/1.38 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.98/1.38 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.38 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.98/1.38 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.98/1.38 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.98/1.38 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.98/1.38 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.98/1.38 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.38 T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.38 X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.38 T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.38 T, X ), X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.38 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), T, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.98/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.98/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.98/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.98/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.98/1.38 ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.38 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.38 Y, X ), Z, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.38 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.38 ,
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.98/1.38 , X ) ) ],
% 0.98/1.38 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.38 X ) ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.98/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.98/1.38 ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.38 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.98/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.38 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.98/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.38 ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.38 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.98/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.98/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.98/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.98/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.38 X ), X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Y, Y, X ) ) ],
% 0.98/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.38 Y, Z, X ) ) ],
% 0.98/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.98/1.38 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.98/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.98/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.98/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.98/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.39 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.98/1.39 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.98/1.39 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.98/1.39 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), Y, 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.39 , Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.39 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.39 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.39 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.39 ), =( Z, Y ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.39 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.39 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.39 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.39 , Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.39 Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 0.98/1.39 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.39 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.39 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 0.98/1.39 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 0.98/1.39 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.98/1.39 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.98/1.39 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.98/1.39 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.98/1.39 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.98/1.39 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.98/1.39 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.98/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.98/1.39 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.39 Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 'c_Log_Opowr'(
% 0.98/1.39 X, Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.98/1.39 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.98/1.39 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.39 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.39 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.39 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.39 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.98/1.39 , T, X ), X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 0.98/1.39 , 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.98/1.39 X ) ) ), =( Z, T ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.98/1.39 X ) ) ), =( Z, T ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.98/1.39 X ) ) ), =( Y, T ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.98/1.39 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.98/1.39 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 0.98/1.39 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 0.98/1.39 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 0.98/1.39 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 0.98/1.39 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.98/1.39 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.98/1.39 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.98/1.39 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.98/1.39 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.98/1.39 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.98/1.39 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.98/1.39 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.98/1.39 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.98/1.39 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.98/1.39 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.39 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.98/1.39 , T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.98/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.98/1.39 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.98/1.39 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.39 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.98/1.39 , X ), W, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.39 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.98/1.39 , X ), T, X ), W, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.98/1.39 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.39 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'(
% 0.98/1.39 'c_Log_Opowr'( X, Z ), Y ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.98/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.98/1.39 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.39 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.98/1.39 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.98/1.39 =( Y, Z ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.98/1.39 , X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.98/1.39 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.98/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.39 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.98/1.39 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.39 ],
% 0.98/1.39 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , Y, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.39 , Z, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.39 , Z, X ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.98/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.39 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.39 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.98/1.39 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.98/1.39 ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.98/1.39 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.98/1.39 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.98/1.39 ), Y ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.98/1.39 ), X ), Y ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.98/1.39 , 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.39 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , Y, X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.98/1.39 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.98/1.39 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.98/1.39 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.98/1.39 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.98/1.39 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.98/1.39 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.98/1.39 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.98/1.39 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.98/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.98/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.98/1.39 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 0.98/1.39 ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 0.98/1.39 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 0.98/1.39 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.39 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.39 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.98/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.39 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.98/1.39 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.98/1.39 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 0.98/1.39 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.98/1.39 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'(
% 0.98/1.39 Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 0.98/1.39 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.98/1.39 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.98/1.39 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.39 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.98/1.39 , Z, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.98/1.39 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.98/1.39 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.39 [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 0.98/1.39 , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.39 ) ],
% 0.98/1.39 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.98/1.39 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.98/1.39 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.39 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.39 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 0.98/1.39 'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.98/1.39 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.39 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.98/1.39 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.98/1.39 , X ), W, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.39 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.98/1.39 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.98/1.39 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.98/1.39 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 0.98/1.39 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.98/1.39 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.98/1.39 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.98/1.39 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.98/1.39 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.98/1.39 , T, X ), X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.98/1.39 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.98/1.39 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.98/1.39 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.39 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.39 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.39 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.39 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.98/1.39 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.98/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.98/1.39 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.39 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.39 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.98/1.39 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.39 , T, X ) ) ), =( Z, T ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.98/1.39 , T, X ) ) ), =( Y, Z ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.98/1.39 , T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.98/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.98/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.98/1.39 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.98/1.39 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 Y, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.39 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.39 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.98/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.98/1.39 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.98/1.39 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.98/1.39 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.98/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.98/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.98/1.39 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.98/1.39 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.98/1.39 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.98/1.39 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.98/1.39 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.39 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.39 , U, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.98/1.39 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.98/1.39 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.98/1.39 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 0.98/1.39 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 0.98/1.39 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, X,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.98/1.39 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.98/1.39 ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.98/1.39 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.98/1.39 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.98/1.39 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.98/1.39 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.98/1.39 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.98/1.39 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.98/1.39 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.98/1.39 , T, X ), X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.39 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.98/1.39 Y, Z, X ), X ) ) ],
% 0.98/1.39 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.98/1.39 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 0.98/1.39 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 0.98/1.39 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.98/1.39 , Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.39 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , Z, X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.98/1.39 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , Z, X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.98/1.39 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.98/1.39 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.98/1.39 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , T, X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , T, X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.98/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.98/1.39 Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.98/1.39 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.98/1.39 W, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.98/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.98/1.39 , X ), T, X ), W, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.98/1.39 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.98/1.39 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.98/1.39 W, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.98/1.39 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.98/1.39 , X ), W, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.98/1.39 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.98/1.39 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.98/1.39 Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.39 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.39 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.98/1.39 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.98/1.39 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.39 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.39 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.39 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.98/1.39 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.39 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.39 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.39 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.98/1.39 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.98/1.39 X ), Z, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.39 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.39 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.98/1.39 ) ],
% 0.98/1.39 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( X,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.98/1.39 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.98/1.39 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.98/1.39 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.98/1.39 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.98/1.39 ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.98/1.39 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.39 , Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.39 , Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.39 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.98/1.39 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.98/1.39 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.98/1.39 X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.98/1.39 'c_lessequals'( Y, Z, X ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.98/1.39 'c_lessequals'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.98/1.39 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.39 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.39 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.98/1.39 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.39 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.98/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.98/1.39 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.98/1.39 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.39 , X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.98/1.39 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.39 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.98/1.39 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.39 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.98/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.39 , X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.39 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.39 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.98/1.39 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.98/1.39 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.98/1.39 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.39 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.98/1.39 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.98/1.39 , 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.98/1.39 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.98/1.39 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.39 Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.39 ,
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.98/1.39 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.98/1.39 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 0.98/1.39 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.98/1.39 ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.39 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.39 X ), T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.39 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.98/1.39 ) ],
% 0.98/1.39 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.98/1.39 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.39 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.39 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.39 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.98/1.39 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.98/1.39 Z, Y, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.39 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.98/1.39 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.98/1.39 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.98/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.98/1.39 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.98/1.39 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.98/1.39 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.98/1.40 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.98/1.40 ), Y ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.98/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.98/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.98/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.98/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.98/1.40 , Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.40 ), Y ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.40 ), Y ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.98/1.40 ), Y ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.40 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.98/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.98/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.98/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.98/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.98/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.98/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.98/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.98/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.98/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.98/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.98/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.98/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.40 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.98/1.40 ), Y, X ) ), =( Z, T ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.98/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.98/1.40 X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.98/1.40 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.98/1.40 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X
% 0.98/1.40 ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Osgn__class_Osgn'(
% 0.98/1.40 Y, 'tc_RealDef_Oreal' ), 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.98/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.98/1.40 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.40 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.98/1.40 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.40 Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.98/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 0.98/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 0.98/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.98/1.40 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.98/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.98/1.40 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.40 X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.98/1.40 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.98/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.98/1.40 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.98/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.98/1.40 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.98/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.98/1.40 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.98/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.98/1.40 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.98/1.40 X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Z, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Z, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.98/1.40 X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.98/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Y, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Y, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.98/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.98/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.40 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.98/1.40 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.40 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.98/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.98/1.40 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.98/1.40 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.98/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.98/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.98/1.40 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.40 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.98/1.40 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X )
% 0.98/1.40 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.98/1.40 , X ), X ), Y ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.40 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.98/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.40 , Y, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.40 , T, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.98/1.40 , T, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.40 , Y, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.98/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.98/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.40 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.98/1.40 , X ), X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.98/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.98/1.40 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.98/1.40 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 0.98/1.40 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.98/1.40 ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.98/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.98/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.98/1.40 Y, X ), X ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.98/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.98/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.98/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.98/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.98/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.98/1.40 'c_lessequals'( Z, Y, X ) ],
% 0.98/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.98/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.98/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 , X ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.98/1.40 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.98/1.40 , X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.98/1.40 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.98/1.40 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.40 ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.98/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.40 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.40 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.98/1.40 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.98/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.98/1.40 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ), =( Y, Z ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.98/1.40 ) ), =( Y, Z ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.40 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.98/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.98/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.98/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.98/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.98/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.98/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.98/1.40 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.98/1.40 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.98/1.40 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.40 ), X ) ) ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.98/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.98/1.40 ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.40 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.98/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.98/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.40 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.98/1.40 ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.98/1.40 [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ) ],
% 0.98/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.98/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.98/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ) ],
% 0.98/1.40 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.98/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.98/1.40 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.98/1.40 ) ],
% 0.98/1.40 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.98/1.40 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 0.98/1.40 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 0.98/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 0.98/1.40 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 0.98/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 0.98/1.40 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 0.98/1.40 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 0.98/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 0.98/1.40 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 0.98/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.40 ) ],
% 0.98/1.40 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.98/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 0.98/1.40 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.98/1.40 ) ],
% 0.98/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.98/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.98/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.98/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.98/1.40 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.98/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.98/1.40 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.98/1.40 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.98/1.40 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.98/1.40 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.98/1.40 ) ],
% 0.98/1.40 [ 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.98/1.40 ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.98/1.40 ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.98/1.40 ],
% 0.98/1.40 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.98/1.40 ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.98/1.40 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.98/1.40 ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.98/1.40 ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.98/1.40 ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.98/1.40 ],
% 0.98/1.40 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ,
% 0.98/1.40 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Osgn__div__norm'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.98/1.40 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ]
% 0.98/1.40 ] .
% 0.98/1.40
% 0.98/1.40
% 0.98/1.40 percentage equality = 0.215509, percentage horn = 0.869134
% 0.98/1.40 This is a problem with some equality
% 0.98/1.40
% 0.98/1.40
% 0.98/1.40
% 0.98/1.40 Options Used:
% 0.98/1.40
% 0.98/1.40 useres = 1
% 0.98/1.40 useparamod = 1
% 0.98/1.40 useeqrefl = 1
% 0.98/1.40 useeqfact = 1
% 0.98/1.40 usefactor = 1
% 0.98/1.40 usesimpsplitting = 0
% 0.98/1.40 usesimpdemod = 5
% 0.98/1.40 usesimpres = 3
% 0.98/1.40
% 0.98/1.40 resimpinuse = 1000
% 0.98/1.40 resimpclauses = 20000
% 0.98/1.40 substype = eqrewr
% 0.98/1.40 backwardsubs = 1
% 0.98/1.40 selectoldest = 5
% 0.98/1.40
% 0.98/1.40 litorderings [0] = split
% 0.98/1.40 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.40
% 0.98/1.40 termordering = kbo
% 0.98/1.40
% 0.98/1.40 litapriori = 0
% 0.98/1.40 termapriori = 1
% 0.98/1.40 litaposteriori = 0
% 0.98/1.40 termaposteriori = 0
% 0.98/1.40 demodaposteriori = 0
% 0.98/1.40 ordereqreflfact = 0
% 0.98/1.40
% 0.98/1.40 litselect = negord
% 0.98/1.40
% 0.98/1.40 maxweight = 15
% 0.98/1.40 maxdepth = 30000
% 0.98/1.40 maxlength = 115
% 0.98/1.40 maxnrvars = 195
% 0.98/1.40 excuselevel = 1
% 0.98/1.40 increasemaxweight = 1
% 0.98/1.40
% 0.98/1.40 maxselected = 10000000
% 0.98/1.40 maxnrclauses = 10000000
% 0.98/1.40
% 0.98/1.40 showgenerated = 0
% 0.98/1.40 showkept = 0
% 0.98/1.40 showselected = 0
% 0.98/1.40 showdeleted = 0
% 0.98/1.40 showresimp = 1
% 0.98/1.40 showstatus = 2000
% 0.98/1.40
% 0.98/1.40 prologoutput = 1
% 0.98/1.40 nrgoals = 5000000
% 0.98/1.40 totalproof = 1
% 0.98/1.40
% 0.98/1.40 Symbols occurring in the translation:
% 0.98/1.40
% 0.98/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.40 . [1, 2] (w:1, o:149, a:1, s:1, b:0),
% 0.98/1.40 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 0.98/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.40 'class_Divides_Osemiring__div' [40, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.98/1.40 'c_Divides_Odiv__class_Odiv' [43, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.98/1.40 'c_HOL_Otimes__class_Otimes' [44, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.98/1.40 'c_Divides_Odiv__class_Omod' [45, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.98/1.40 'c_HOL_Oplus__class_Oplus' [46, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.98/1.40 'class_Ring__and__Field_Odvd' [47, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.98/1.40 'class_Ring__and__Field_Ocomm__ring' [48, 1] (w:1, o:63, a:1, s:1, b:
% 0.98/1.40 0),
% 0.98/1.40 'c_Ring__and__Field_Odvd__class_Odvd' [52, 3] (w:1, o:191, a:1, s:1
% 0.98/1.40 , b:0),
% 0.98/1.40 'c_HOL_Ominus__class_Ominus' [55, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.98/1.40 'class_OrderedGroup_Ocomm__monoid__mult' [57, 1] (w:1, o:68, a:1, s:1
% 0.98/1.40 , b:0),
% 0.98/1.40 'c_Power_Opower__class_Opower' [59, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.98/1.40 'class_Ring__and__Field_Ocomm__semiring__1' [60, 1] (w:1, o:65, a:1
% 0.98/1.40 , s:1, b:0),
% 0.98/1.40 'class_OrderedGroup_Opordered__ab__group__add' [63, 1] (w:1, o:70, a:
% 0.98/1.40 1, s:1, b:0),
% 0.98/1.40 'c_lessequals' [66, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.98/1.40 'c_HOL_Oord__class_Oless' [67, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.98/1.40 'class_RealVector_Oreal__algebra__1' [68, 1] (w:1, o:71, a:1, s:1, b:
% 0.98/1.40 0),
% 0.98/1.40 'tc_RealDef_Oreal' [69, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.98/1.40 'c_RealVector_Oof__real' [70, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.98/1.40 'class_Ring__and__Field_Odivision__ring' [71, 1] (w:1, o:72, a:1, s:1
% 0.98/1.40 , b:0),
% 0.98/1.40 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:73, a:1
% 0.98/1.40 , s:1, b:0),
% 0.98/1.40 'c_HOL_Oinverse__class_Oinverse' [73, 2] (w:1, o:176, a:1, s:1, b:0)
% 0.98/1.40 ,
% 0.98/1.40 'class_Ring__and__Field_Oordered__semiring__strict' [74, 1] (w:1, o:
% 0.98/1.40 76, a:1, s:1, b:0),
% 0.98/1.40 'c_HOL_Ozero__class_Ozero' [75, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.98/1.40 'class_RealVector_Osgn__div__norm' [76, 1] (w:1, o:87, a:1, s:1, b:0)
% 0.98/1.40 ,
% 0.98/1.40 'c_HOL_Osgn__class_Osgn' [77, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.98/1.40 'c_RealVector_Onorm__class_Onorm' [78, 2] (w:1, o:174, a:1, s:1, b:0)
% 0.98/1.40 ,
% 0.98/1.40 'c_RealVector_OscaleR__class_OscaleR' [79, 3] (w:1, o:195, a:1, s:1
% 0.98/1.40 , b:0),
% 0.98/1.40 'class_OrderedGroup_Oab__semigroup__idem__mult' [80, 1] (w:1, o:88
% 1.48/1.85 , a:1, s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Oordered__field' [81, 1] (w:1, o:89, a:1, s:1
% 1.48/1.85 , b:0),
% 1.48/1.85 'c_HOL_Oinverse__class_Odivide' [82, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.48/1.85
% 1.48/1.85 'class_RealVector_Ometric__space' [83, 1] (w:1, o:90, a:1, s:1, b:0)
% 1.48/1.85 ,
% 1.48/1.85 'c_RealVector_Odist__class_Odist' [84, 3] (w:1, o:197, a:1, s:1, b:0)
% 1.48/1.85 ,
% 1.48/1.85 'class_Lattices_Oupper__semilattice' [85, 1] (w:1, o:91, a:1, s:1, b:
% 1.48/1.85 0),
% 1.48/1.85 'c_Lattices_Oupper__semilattice__class_Osup' [87, 3] (w:1, o:198, a:1
% 1.48/1.85 , s:1, b:0),
% 1.48/1.85 'c_HOL_Oone__class_Oone' [88, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.48/1.85 'class_RealVector_Oreal__vector' [89, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.48/1.85
% 1.48/1.85 'class_Ring__and__Field_Oordered__ring__strict' [90, 1] (w:1, o:75
% 1.48/1.85 , a:1, s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Oidom' [91, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.48/1.85 'class_Int_Onumber__ring' [92, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.48/1.85 'class_OrderedGroup_Olordered__ab__group__add' [94, 1] (w:1, o:95, a:
% 1.48/1.85 1, s:1, b:0),
% 1.48/1.85 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [95, 2] (w:1
% 1.48/1.85 , o:179, a:1, s:1, b:0),
% 1.48/1.85 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [96, 2] (w:1
% 1.48/1.85 , o:180, a:1, s:1, b:0),
% 1.48/1.85 'c_Log_Opowr' [97, 2] (w:1, o:181, a:1, s:1, b:0),
% 1.48/1.85 'class_Orderings_Olinorder' [98, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.48/1.85 'c_HOL_Ouminus__class_Ouminus' [99, 2] (w:1, o:182, a:1, s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Opordered__ring' [100, 1] (w:1, o:101, a:1
% 1.48/1.85 , s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Omult__mono' [101, 1] (w:1, o:103, a:1, s:1
% 1.48/1.85 , b:0),
% 1.48/1.85 'class_Ring__and__Field_Omult__mono1' [102, 1] (w:1, o:104, a:1, s:1
% 1.48/1.85 , b:0),
% 1.48/1.85 'class_Ring__and__Field_Ofield' [103, 1] (w:1, o:105, a:1, s:1, b:0)
% 1.48/1.85 ,
% 1.48/1.85 'class_Ring__and__Field_Oordered__semidom' [104, 1] (w:1, o:97, a:1
% 1.48/1.85 , s:1, b:0),
% 1.48/1.85 'class_RealVector_Oreal__normed__field' [105, 1] (w:1, o:79, a:1, s:1
% 1.48/1.85 , b:0),
% 1.48/1.85 'class_RealVector_Oreal__normed__vector' [107, 1] (w:1, o:80, a:1, s:
% 1.48/1.85 1, b:0),
% 1.48/1.85 'c_NthRoot_Osqrt' [108, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.48/1.85 'class_RealVector_Oreal__div__algebra' [109, 1] (w:1, o:81, a:1, s:1
% 1.48/1.85 , b:0),
% 1.48/1.85 'class_Lattices_Odistrib__lattice' [110, 1] (w:1, o:107, a:1, s:1, b:
% 1.48/1.85 0),
% 1.48/1.85 'c_Lattices_Olower__semilattice__class_Oinf' [111, 3] (w:1, o:199, a:
% 1.48/1.85 1, s:1, b:0),
% 1.48/1.85 'class_OrderedGroup_Ogroup__add' [112, 1] (w:1, o:108, a:1, s:1, b:0)
% 1.48/1.85 ,
% 1.48/1.85 'class_OrderedGroup_Opordered__ab__group__add__abs' [113, 1] (w:1, o:
% 1.48/1.85 109, a:1, s:1, b:0),
% 1.48/1.85 'c_HOL_Oabs__class_Oabs' [114, 2] (w:1, o:183, a:1, s:1, b:0),
% 1.48/1.85 'c_Transcendental_Ocos' [115, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Oordered__idom' [116, 1] (w:1, o:98, a:1, s:1
% 1.48/1.85 , b:0),
% 1.48/1.85 'class_Lattices_Olower__semilattice' [117, 1] (w:1, o:111, a:1, s:1
% 1.48/1.85 , b:0),
% 1.48/1.85 'class_Lattices_Olattice' [118, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.48/1.85 'class_Orderings_Oorder' [119, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Opordered__cancel__semiring' [120, 1] (w:1
% 1.48/1.85 , o:114, a:1, s:1, b:0),
% 1.48/1.85 'class_RealVector_Oreal__normed__algebra' [121, 1] (w:1, o:82, a:1
% 1.48/1.85 , s:1, b:0),
% 1.48/1.85 'class_Divides_Oring__div' [123, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.48/1.85 'class_OrderedGroup_Oab__semigroup__mult' [124, 1] (w:1, o:115, a:1
% 1.48/1.85 , s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Ocomm__semiring' [136, 1] (w:1, o:66, a:1, s:
% 1.48/1.85 1, b:0),
% 1.48/1.85 'c_Transcendental_Otan' [138, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.48/1.85 'c_Transcendental_Osin' [139, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.48/1.85 'class_Ring__and__Field_Oring' [141, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.48/1.85
% 1.48/1.85 'class_Ring__and__Field_Opordered__semiring' [142, 1] (w:1, o:120, a:
% 1.48/1.85 1, s:1, b:0),
% 1.48/1.85 'c_NthRoot_Oroot' [143, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.48/1.85 'class_Lattices_Oboolean__algebra' [144, 1] (w:1, o:121, a:1, s:1, b:
% 1.48/1.85 0),
% 1.48/1.85 'class_Ring__and__Field_Opordered__ring__abs' [145, 1] (w:1, o:119
% 1.48/1.85 , a:1, s:1, b:0),
% 1.48/1.85 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [146, 1]
% 1.48/1.85 (w:1, o:122, a:1, s:1, b:0),
% 1.48/1.85 'class_OrderedGroup_Opordered__ab__semigroup__add' [147, 1] (w:1, o:
% 14.09/14.46 123, a:1, s:1, b:0),
% 14.09/14.46 'c_Transcendental_Opi' [148, 0] (w:1, o:49, a:1, s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Olordered__ab__group__add__abs' [149, 1] (w:1, o:
% 14.09/14.46 124, a:1, s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Opordered__comm__monoid__add' [150, 1] (w:1, o:
% 14.09/14.46 125, a:1, s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Osgn__if' [151, 1] (w:1, o:129, a:1, s:1, b:0
% 14.09/14.46 ),
% 14.09/14.46 'c_Transcendental_Oarctan' [152, 1] (w:1, o:130, a:1, s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Oab__group__add' [153, 1] (w:1, o:131, a:1, s:1
% 14.09/14.46 , b:0),
% 14.09/14.46 'class_Ring__and__Field_Ocomm__ring__1' [154, 1] (w:1, o:64, a:1, s:1
% 14.09/14.46 , b:0),
% 14.09/14.46 'class_OrderedGroup_Ocancel__ab__semigroup__add' [155, 1] (w:1, o:132
% 14.09/14.46 , a:1, s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Ocancel__semigroup__add' [156, 1] (w:1, o:133, a:
% 14.09/14.46 1, s:1, b:0),
% 14.09/14.46 'class_RealVector_Oreal__normed__div__algebra' [157, 1] (w:1, o:83
% 14.09/14.46 , a:1, s:1, b:0),
% 14.09/14.46 'class_RealVector_Oreal__normed__algebra__1' [158, 1] (w:1, o:84, a:1
% 14.09/14.46 , s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Olordered__ab__group__add__meet' [159, 1] (w:1
% 14.09/14.46 , o:134, a:1, s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Oabs__if' [160, 1] (w:1, o:135, a:1, s:1, b:0
% 14.09/14.46 ),
% 14.09/14.46 'class_Ring__and__Field_Oordered__semiring' [161, 1] (w:1, o:99, a:1
% 14.09/14.46 , s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Ocomm__monoid__add' [163, 1] (w:1, o:136, a:1, s:
% 14.09/14.46 1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Olordered__ring' [164, 1] (w:1, o:102, a:1
% 14.09/14.46 , s:1, b:0),
% 14.09/14.46 'class_SEQ_Obanach' [165, 1] (w:1, o:141, a:1, s:1, b:0),
% 14.09/14.46 'c_Transcendental_Oexp' [166, 2] (w:1, o:184, a:1, s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Omonoid__mult' [167, 1] (w:1, o:143, a:1, s:1, b:
% 14.09/14.46 0),
% 14.09/14.46 'class_RealVector_Oreal__algebra' [168, 1] (w:1, o:85, a:1, s:1, b:0)
% 14.09/14.46 ,
% 14.09/14.46 'class_RealVector_Oreal__field' [174, 1] (w:1, o:86, a:1, s:1, b:0),
% 14.09/14.46
% 14.09/14.46 'class_OrderedGroup_Oordered__ab__group__add' [175, 1] (w:1, o:69, a:
% 14.09/14.46 1, s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Oring__1' [177, 1] (w:1, o:126, a:1, s:1, b:0
% 14.09/14.46 ),
% 14.09/14.46 'class_OrderedGroup_Olordered__ab__group__add__join' [179, 1] (w:1
% 14.09/14.46 , o:142, a:1, s:1, b:0),
% 14.09/14.46 'class_Orderings_Opreorder' [180, 1] (w:1, o:144, a:1, s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Oab__semigroup__add' [181, 1] (w:1, o:145, a:1
% 14.09/14.46 , s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Osemiring' [182, 1] (w:1, o:137, a:1, s:1, b:
% 14.09/14.46 0),
% 14.09/14.46 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [183, 1]
% 14.09/14.46 (w:1, o:146, a:1, s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Oordered__comm__semiring__strict' [184, 1]
% 14.09/14.46 (w:1, o:100, a:1, s:1, b:0),
% 14.09/14.46 'c_Fun_Oid' [185, 2] (w:1, o:185, a:1, s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Oring__no__zero__divisors' [186, 1] (w:1, o:
% 14.09/14.46 127, a:1, s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Omult__zero' [187, 1] (w:1, o:138, a:1, s:1
% 14.09/14.46 , b:0),
% 14.09/14.46 'class_RealVector_Odist__norm' [190, 1] (w:1, o:139, a:1, s:1, b:0),
% 14.09/14.46
% 14.09/14.46 'class_Ring__and__Field_Ozero__neq__one' [192, 1] (w:1, o:140, a:1
% 14.09/14.46 , s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Oring__1__no__zero__divisors' [193, 1] (w:1
% 14.09/14.46 , o:128, a:1, s:1, b:0),
% 14.09/14.46 'class_Ring__and__Field_Ono__zero__divisors' [194, 1] (w:1, o:74, a:1
% 14.09/14.46 , s:1, b:0),
% 14.09/14.46 'class_Power_Opower' [195, 1] (w:1, o:148, a:1, s:1, b:0),
% 14.09/14.46 'class_OrderedGroup_Omonoid__add' [196, 1] (w:1, o:147, a:1, s:1, b:0
% 14.09/14.46 ),
% 14.09/14.46 't_a' [197, 0] (w:1, o:53, a:1, s:1, b:0),
% 14.09/14.46 'v_x' [198, 0] (w:1, o:54, a:1, s:1, b:0),
% 14.09/14.46 'tc_nat' [199, 0] (w:1, o:55, a:1, s:1, b:0).
% 14.09/14.46
% 14.09/14.46
% 14.09/14.46 Starting Search:
% 14.09/14.46
% 14.09/14.46 Resimplifying inuse:
% 14.09/14.46 Done
% 14.09/14.46
% 14.09/14.46
% 14.09/14.46 Intermediate Status:
% 14.09/14.46 Generated: 3579
% 14.09/14.46 Kept: 2059
% 14.09/14.46 Inuse: 150
% 14.09/14.46 Deleted: 1
% 14.09/14.46 Deletedinuse: 0
% 14.09/14.46
% 14.09/14.46 Resimplifying inuse:
% 14.09/14.46 Done
% 14.09/14.46
% 14.09/14.46 Resimplifying inuse:
% 14.09/14.46 Done
% 14.09/14.46
% 14.09/14.46
% 14.09/14.46 Intermediate Status:
% 14.09/14.46 Generated: 10559
% 14.09/14.46 Kept: 4355
% 14.09/14.46 Inuse: 225
% 14.09/14.46 Deleted: 1
% 14.09/14.46 Deletedinuse: 0
% 14.09/14.46
% 14.09/14.46 Resimplifying inuse:
% 14.09/14.46 Done
% 14.09/14.46
% 14.09/14.46 Resimplifying inuse:
% 14.09/14.46 Done
% 14.09/14.46
% 14.09/14.46
% 14.09/14.46 Intermediate Status:
% 14.09/14.46 Generated: 19726
% 14.09/14.46 Kept: 6409
% 14.09/14.46 Inuse: 275
% 14.09/14.46 Deleted: 1
% 14.09/14.46 Deletedinuse: 0
% 14.09/14.46
% 14.09/14.46 Resimplifying inuse:
% 14.09/14.46 Done
% 14.09/14.46
% 14.09/14.46 Resimplifying inuse:
% 14.09/14.46 Done
% 14.09/14.46
% 14.09/14.46
% 14.09/14.46 Intermediate Status:
% 14.09/14.46 Generated: 27843
% 14.09/14.46 Kept: 8468
% 46.91/47.31 Inuse: 350
% 46.91/47.31 Deleted: 1
% 46.91/47.31 Deletedinuse: 0
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 36375
% 46.91/47.31 Kept: 11166
% 46.91/47.31 Inuse: 395
% 46.91/47.31 Deleted: 1
% 46.91/47.31 Deletedinuse: 0
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 44290
% 46.91/47.31 Kept: 13172
% 46.91/47.31 Inuse: 427
% 46.91/47.31 Deleted: 1
% 46.91/47.31 Deletedinuse: 0
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 55649
% 46.91/47.31 Kept: 15317
% 46.91/47.31 Inuse: 460
% 46.91/47.31 Deleted: 1
% 46.91/47.31 Deletedinuse: 0
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 68821
% 46.91/47.31 Kept: 17324
% 46.91/47.31 Inuse: 558
% 46.91/47.31 Deleted: 1
% 46.91/47.31 Deletedinuse: 0
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 78001
% 46.91/47.31 Kept: 19446
% 46.91/47.31 Inuse: 600
% 46.91/47.31 Deleted: 1
% 46.91/47.31 Deletedinuse: 0
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying clauses:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 99700
% 46.91/47.31 Kept: 22263
% 46.91/47.31 Inuse: 632
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 115102
% 46.91/47.31 Kept: 24883
% 46.91/47.31 Inuse: 667
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 129746
% 46.91/47.31 Kept: 27091
% 46.91/47.31 Inuse: 687
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 142803
% 46.91/47.31 Kept: 29102
% 46.91/47.31 Inuse: 724
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 154209
% 46.91/47.31 Kept: 31273
% 46.91/47.31 Inuse: 762
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 169146
% 46.91/47.31 Kept: 33724
% 46.91/47.31 Inuse: 792
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 181473
% 46.91/47.31 Kept: 35902
% 46.91/47.31 Inuse: 852
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 192405
% 46.91/47.31 Kept: 38036
% 46.91/47.31 Inuse: 897
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 210197
% 46.91/47.31 Kept: 40254
% 46.91/47.31 Inuse: 952
% 46.91/47.31 Deleted: 414
% 46.91/47.31 Deletedinuse: 3
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying clauses:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 223014
% 46.91/47.31 Kept: 42327
% 46.91/47.31 Inuse: 958
% 46.91/47.31 Deleted: 884
% 46.91/47.31 Deletedinuse: 5
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 241251
% 46.91/47.31 Kept: 44791
% 46.91/47.31 Inuse: 967
% 46.91/47.31 Deleted: 884
% 46.91/47.31 Deletedinuse: 5
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 262494
% 46.91/47.31 Kept: 47884
% 46.91/47.31 Inuse: 986
% 46.91/47.31 Deleted: 886
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 275025
% 46.91/47.31 Kept: 50044
% 46.91/47.31 Inuse: 1006
% 46.91/47.31 Deleted: 886
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 285730
% 46.91/47.31 Kept: 52264
% 46.91/47.31 Inuse: 1026
% 46.91/47.31 Deleted: 886
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 303732
% 46.91/47.31 Kept: 54984
% 46.91/47.31 Inuse: 1066
% 46.91/47.31 Deleted: 886
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 318565
% 46.91/47.31 Kept: 56993
% 46.91/47.31 Inuse: 1080
% 46.91/47.31 Deleted: 886
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 343017
% 46.91/47.31 Kept: 59835
% 46.91/47.31 Inuse: 1101
% 46.91/47.31 Deleted: 886
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying clauses:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 359641
% 46.91/47.31 Kept: 62521
% 46.91/47.31 Inuse: 1131
% 46.91/47.31 Deleted: 1331
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31
% 46.91/47.31 Intermediate Status:
% 46.91/47.31 Generated: 373521
% 46.91/47.31 Kept: 64725
% 46.91/47.31 Inuse: 1171
% 46.91/47.31 Deleted: 1331
% 46.91/47.31 Deletedinuse: 6
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 46.91/47.31 Done
% 46.91/47.31
% 46.91/47.31 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 388727
% 92.30/92.71 Kept: 66975
% 92.30/92.71 Inuse: 1211
% 92.30/92.71 Deleted: 1331
% 92.30/92.71 Deletedinuse: 6
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 424772
% 92.30/92.71 Kept: 70526
% 92.30/92.71 Inuse: 1251
% 92.30/92.71 Deleted: 1331
% 92.30/92.71 Deletedinuse: 6
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 440016
% 92.30/92.71 Kept: 72819
% 92.30/92.71 Inuse: 1276
% 92.30/92.71 Deleted: 1333
% 92.30/92.71 Deletedinuse: 8
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 463739
% 92.30/92.71 Kept: 75259
% 92.30/92.71 Inuse: 1290
% 92.30/92.71 Deleted: 1335
% 92.30/92.71 Deletedinuse: 9
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 489344
% 92.30/92.71 Kept: 77529
% 92.30/92.71 Inuse: 1295
% 92.30/92.71 Deleted: 1339
% 92.30/92.71 Deletedinuse: 13
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 510906
% 92.30/92.71 Kept: 79715
% 92.30/92.71 Inuse: 1348
% 92.30/92.71 Deleted: 1341
% 92.30/92.71 Deletedinuse: 13
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying clauses:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 525718
% 92.30/92.71 Kept: 81957
% 92.30/92.71 Inuse: 1383
% 92.30/92.71 Deleted: 1844
% 92.30/92.71 Deletedinuse: 13
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 543915
% 92.30/92.71 Kept: 83962
% 92.30/92.71 Inuse: 1421
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 571761
% 92.30/92.71 Kept: 85962
% 92.30/92.71 Inuse: 1431
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 598812
% 92.30/92.71 Kept: 88096
% 92.30/92.71 Inuse: 1438
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 638958
% 92.30/92.71 Kept: 91897
% 92.30/92.71 Inuse: 1468
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 652430
% 92.30/92.71 Kept: 94205
% 92.30/92.71 Inuse: 1493
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 669050
% 92.30/92.71 Kept: 96362
% 92.30/92.71 Inuse: 1508
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 685570
% 92.30/92.71 Kept: 98732
% 92.30/92.71 Inuse: 1548
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 699852
% 92.30/92.71 Kept: 100871
% 92.30/92.71 Inuse: 1578
% 92.30/92.71 Deleted: 1848
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying clauses:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 724141
% 92.30/92.71 Kept: 103642
% 92.30/92.71 Inuse: 1608
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 742600
% 92.30/92.71 Kept: 105873
% 92.30/92.71 Inuse: 1623
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 783664
% 92.30/92.71 Kept: 109859
% 92.30/92.71 Inuse: 1648
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 793824
% 92.30/92.71 Kept: 111912
% 92.30/92.71 Inuse: 1668
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 803769
% 92.30/92.71 Kept: 114048
% 92.30/92.71 Inuse: 1688
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 814635
% 92.30/92.71 Kept: 116061
% 92.30/92.71 Inuse: 1695
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 825237
% 92.30/92.71 Kept: 118216
% 92.30/92.71 Inuse: 1718
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 839308
% 92.30/92.71 Kept: 120789
% 92.30/92.71 Inuse: 1743
% 92.30/92.71 Deleted: 2844
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying clauses:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 92.30/92.71 Done
% 92.30/92.71
% 92.30/92.71
% 92.30/92.71 Intermediate Status:
% 92.30/92.71 Generated: 848338
% 92.30/92.71 Kept: 123295
% 92.30/92.71 Inuse: 1758
% 92.30/92.71 Deleted: 3693
% 92.30/92.71 Deletedinuse: 17
% 92.30/92.71
% 92.30/92.71 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 864339
% 169.38/169.78 Kept: 125424
% 169.38/169.78 Inuse: 1783
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 878860
% 169.38/169.78 Kept: 127434
% 169.38/169.78 Inuse: 1813
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 898179
% 169.38/169.78 Kept: 130161
% 169.38/169.78 Inuse: 1818
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 911146
% 169.38/169.78 Kept: 132456
% 169.38/169.78 Inuse: 1843
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 928915
% 169.38/169.78 Kept: 134643
% 169.38/169.78 Inuse: 1868
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 945000
% 169.38/169.78 Kept: 136763
% 169.38/169.78 Inuse: 1898
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 964062
% 169.38/169.78 Kept: 138774
% 169.38/169.78 Inuse: 1935
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 983315
% 169.38/169.78 Kept: 141028
% 169.38/169.78 Inuse: 1953
% 169.38/169.78 Deleted: 3693
% 169.38/169.78 Deletedinuse: 17
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying clauses:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 998570
% 169.38/169.78 Kept: 143140
% 169.38/169.78 Inuse: 1978
% 169.38/169.78 Deleted: 4638
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1016453
% 169.38/169.78 Kept: 145244
% 169.38/169.78 Inuse: 2013
% 169.38/169.78 Deleted: 4638
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1039372
% 169.38/169.78 Kept: 147256
% 169.38/169.78 Inuse: 2053
% 169.38/169.78 Deleted: 4640
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1069271
% 169.38/169.78 Kept: 150622
% 169.38/169.78 Inuse: 2066
% 169.38/169.78 Deleted: 4640
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1088349
% 169.38/169.78 Kept: 152780
% 169.38/169.78 Inuse: 2080
% 169.38/169.78 Deleted: 4641
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1105012
% 169.38/169.78 Kept: 154837
% 169.38/169.78 Inuse: 2090
% 169.38/169.78 Deleted: 4641
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1140908
% 169.38/169.78 Kept: 158486
% 169.38/169.78 Inuse: 2100
% 169.38/169.78 Deleted: 4641
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1162233
% 169.38/169.78 Kept: 160545
% 169.38/169.78 Inuse: 2110
% 169.38/169.78 Deleted: 4641
% 169.38/169.78 Deletedinuse: 35
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1178545
% 169.38/169.78 Kept: 162837
% 169.38/169.78 Inuse: 2134
% 169.38/169.78 Deleted: 4644
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying clauses:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1191627
% 169.38/169.78 Kept: 165183
% 169.38/169.78 Inuse: 2154
% 169.38/169.78 Deleted: 5585
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1208026
% 169.38/169.78 Kept: 167494
% 169.38/169.78 Inuse: 2179
% 169.38/169.78 Deleted: 5585
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1231649
% 169.38/169.78 Kept: 171033
% 169.38/169.78 Inuse: 2199
% 169.38/169.78 Deleted: 5585
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1246042
% 169.38/169.78 Kept: 173196
% 169.38/169.78 Inuse: 2219
% 169.38/169.78 Deleted: 5585
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1274100
% 169.38/169.78 Kept: 177139
% 169.38/169.78 Inuse: 2244
% 169.38/169.78 Deleted: 5585
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1286731
% 169.38/169.78 Kept: 179276
% 169.38/169.78 Inuse: 2259
% 169.38/169.78 Deleted: 5585
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 169.38/169.78
% 169.38/169.78
% 169.38/169.78 Intermediate Status:
% 169.38/169.78 Generated: 1298810
% 169.38/169.78 Kept: 181280
% 169.38/169.78 Inuse: 2279
% 169.38/169.78 Deleted: 5585
% 169.38/169.78 Deletedinuse: 37
% 169.38/169.78
% 169.38/169.78 Resimplifying inuse:
% 169.38/169.78 Done
% 300.03/300.44 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------