TSTP Solution File: ALG385-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG385-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:39 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG385-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 7 22:06:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.95/1.35 *** allocated 10000 integers for termspace/termends
% 0.95/1.35 *** allocated 10000 integers for clauses
% 0.95/1.35 *** allocated 10000 integers for justifications
% 0.95/1.35 *** allocated 15000 integers for termspace/termends
% 0.95/1.35 *** allocated 22500 integers for termspace/termends
% 0.95/1.35 Bliksem 1.12
% 0.95/1.35
% 0.95/1.35
% 0.95/1.35 Automatic Strategy Selection
% 0.95/1.35
% 0.95/1.35 Clauses:
% 0.95/1.35 [
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.35 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.95/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.95/1.35 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.35 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.95/1.35 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.35 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.35 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.95/1.35 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.35 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.35 ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.95/1.35 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.95/1.35 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 , Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.35 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.35 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.95/1.35 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ), =( Z, Y ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.35 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.35 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.35 , X ) ) ), =( Y, Z ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.35 , X ) ) ), =( Y, Z ) ],
% 0.95/1.35 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.95/1.35 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.95/1.35 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.95/1.35 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.35 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.35 ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.35 , X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.95/1.35 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.95/1.35 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.95/1.35 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.95/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.95/1.35 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.35 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.95/1.35 ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.95/1.35 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.35 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.35 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.35 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 0.95/1.35 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.35 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.95/1.35 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.95/1.35 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.35 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.35 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.35 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.35 Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.35 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.35 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.95/1.35 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.35 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.95/1.35 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.35 [ =( 'c_Complex_ORe'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.35 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y )
% 0.95/1.35 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( X
% 0.95/1.35 ), 'c_Complex_OIm'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.35 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.95/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.35 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.95/1.35 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.95/1.35 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.95/1.35 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.95/1.35 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ =( 'c_Complex_OIm'( 'c_HOL_Otimes__class_Otimes'( X, 'c_Complex_Ocnj'(
% 0.95/1.35 X ), 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.35 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ =( 'c_Complex_OIm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.35 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_OIm'( X
% 0.95/1.35 ), 'c_Complex_OIm'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.95/1.35 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.95/1.35 T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.95/1.35 T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 T, X ), X ) ) ],
% 0.95/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.95/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.95/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 Y, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.95/1.35 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.95/1.35 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.95/1.35 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.95/1.35 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.95/1.35 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.95/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.95/1.35 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.35 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.95/1.35 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.95/1.35 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.35 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.35 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.35 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.95/1.35 X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.95/1.35 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.35 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.95/1.35 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.35 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.95/1.35 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.35 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.35 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.95/1.35 , X ), W, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.35 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.35 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.95/1.35 , X ), T, X ), W, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.95/1.35 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.35 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.35 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.35 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.95/1.35 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.95/1.35 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.95/1.35 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.95/1.35 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.35 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.95/1.35 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.35 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.95/1.35 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 T, X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.95/1.35 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.95/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.35 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.35 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.35 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.95/1.35 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.95/1.35 ), X ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.95/1.35 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.95/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.95/1.35 ), Y ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.35 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.35 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.95/1.35 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.95/1.35 , 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.95/1.35 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.35 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.95/1.35 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.95/1.35 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.95/1.35 [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.95/1.35 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.35 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.95/1.35 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.95/1.35 ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 0.95/1.35 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.95/1.35 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.35 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 0.95/1.35 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.95/1.35 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.35 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.35 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.35 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.95/1.35 X ), X ), Y ) ],
% 0.95/1.35 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.95/1.35 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.95/1.35 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.95/1.35 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.95/1.35 X ), X ), X ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.35 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.95/1.35 Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.35 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.95/1.35 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.35 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.35 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.35 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.95/1.35 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.95/1.35 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.35 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.95/1.35 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.35 'tc_Polynomial_Opoly'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.95/1.35 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.95/1.35 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.95/1.35 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.95/1.35 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.95/1.36 X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.95/1.36 X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.95/1.36 X ) ) ), =( Y, T ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ),
% 0.95/1.36 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.95/1.36 X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.95/1.36 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.36 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.36 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.36 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.95/1.36 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y,
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.95/1.36 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.95/1.36 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.95/1.36 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.95/1.36 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.95/1.36 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.95/1.36 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.95/1.36 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.95/1.36 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.36 , T, X ) ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , T, X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.95/1.36 X ), X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.95/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.95/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.95/1.36 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.95/1.36 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.36 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.95/1.36 Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.95/1.36 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.95/1.36 [ =( 'c_Complex_Ocnj'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Ocnj'(
% 0.95/1.36 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.95/1.36 , U, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.95/1.36 , Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.95/1.36 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.95/1.36 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.95/1.36 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.95/1.36 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.95/1.36 , 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.95/1.36 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.95/1.36 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.95/1.36 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.95/1.36 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.95/1.36 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.95/1.36 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.95/1.36 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.95/1.36 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.95/1.36 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.95/1.36 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.95/1.36 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.95/1.36 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.95/1.36 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.95/1.36 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.95/1.36 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.95/1.36 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.95/1.36 , X ), W, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.95/1.36 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.95/1.36 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 0.95/1.36 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.95/1.36 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.95/1.36 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.95/1.36 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.95/1.36 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.95/1.36 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.95/1.36 W, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.95/1.36 , X ), T, X ), W, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.95/1.36 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.95/1.36 W, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.95/1.36 , X ), W, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.36 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.36 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.95/1.36 [ =( 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'c_NthRoot_Osqrt'( 'c_Complex_ORe'( 'c_HOL_Otimes__class_Otimes'( X,
% 0.95/1.36 'c_Complex_Ocnj'( X ), 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ =( 'c_Complex_OIm'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.95/1.36 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.95/1.36 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.36 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.95/1.36 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.36 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.95/1.36 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.95/1.36 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.95/1.36 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.95/1.36 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.95/1.36 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.95/1.36 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.95/1.36 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.95/1.36 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.95/1.36 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.36 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.36 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_lessequals'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.36 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.95/1.36 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.95/1.36 Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.95/1.36 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.95/1.36 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.95/1.36 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.95/1.36 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.95/1.36 [ ~( =( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ) ) ), ~( =(
% 0.95/1.36 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ) ) ), =( X, Y ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.95/1.36 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.95/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 'c_Complex_ORe'( X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ =( 'c_Complex_OIm'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Complex_ORe'( X ), 'c_Complex_OIm'( Y )
% 0.95/1.36 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( X
% 0.95/1.36 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.95/1.36 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.95/1.36 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.95/1.36 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.95/1.36 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.95/1.36 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.95/1.36 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 0.95/1.36 ) ],
% 0.95/1.36 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.95/1.36 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.95/1.36 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.95/1.36 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ =( 'c_Complex_ORe'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_ORe'( X
% 0.95/1.36 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.95/1.36 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.95/1.36 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.95/1.36 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.95/1.36 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.95/1.36 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.95/1.36 [ =( 'c_Complex_OIm'( 'c_Complex_Ocnj'( X ) ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_Complex_OIm'( X ), 'tc_RealDef_Oreal'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.95/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.95/1.36 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.95/1.36 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.36 , X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.95/1.36 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.95/1.36 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.95/1.36 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.95/1.36 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.95/1.36 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.95/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.95/1.36 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.95/1.36 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.95/1.36 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 0.95/1.36 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.95/1.36 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.95/1.36 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.95/1.36 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.95/1.36 ), X ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.95/1.36 , X ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.95/1.36 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.95/1.36 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.95/1.36 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.95/1.36 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.95/1.36 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.95/1.36 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 Z, Y, X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_OIm'( X ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.95/1.36 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.95/1.36 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.95/1.36 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.95/1.36 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.95/1.36 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'v_da____', X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 'v_da____',
% 0.95/1.36 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
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% 0.95/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ) ],
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% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
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% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
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% 0.95/1.36 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.95/1.36 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.95/1.36 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
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% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'v_z____', 'v_c____', 'tc_Complex_Ocomplex'
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% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
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% 0.95/1.36 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
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% 0.95/1.36 'tc_RealDef_Oreal' ) ],
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% 0.95/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( 'v_da____',
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% 0.95/1.36 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ),
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% 0.95/1.36 'tc_RealDef_Oreal' ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
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% 0.95/1.36 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.95/1.36 'c_Polynomial_Opoly'( X,
% 0.95/1.36 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
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% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.95/1.36 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 0.95/1.36 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.95/1.36 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
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% 0.95/1.36 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.95/1.36 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ ~( =( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
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% 0.95/1.36 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
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% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.95/1.36 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
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% 0.95/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
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% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
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% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
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% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
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% 0.95/1.36 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.95/1.36 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.95/1.36 [ =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
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% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
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% 0.95/1.36 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.95/1.36 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.95/1.36 ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.95/1.36 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.95/1.36 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.95/1.36 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.95/1.36 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.95/1.36 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.95/1.36 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.95/1.36 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.95/1.36 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.95/1.36 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.95/1.36 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.95/1.36 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.95/1.36 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.95/1.36 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.95/1.36 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.95/1.36 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.36 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.36 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.36 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.36 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.36 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.36 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.00/1.36 X ) ) ],
% 1.00/1.36 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 1.00/1.36 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 1.00/1.36 ] .
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 percentage equality = 0.176448, percentage horn = 0.883721
% 1.00/1.36 This is a problem with some equality
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 Options Used:
% 1.00/1.36
% 1.00/1.36 useres = 1
% 1.00/1.36 useparamod = 1
% 1.00/1.36 useeqrefl = 1
% 1.00/1.36 useeqfact = 1
% 1.00/1.36 usefactor = 1
% 1.00/1.36 usesimpsplitting = 0
% 1.00/1.36 usesimpdemod = 5
% 1.00/1.36 usesimpres = 3
% 1.00/1.36
% 1.00/1.36 resimpinuse = 1000
% 1.00/1.36 resimpclauses = 20000
% 1.00/1.36 substype = eqrewr
% 1.00/1.36 backwardsubs = 1
% 1.00/1.36 selectoldest = 5
% 1.00/1.36
% 1.00/1.36 litorderings [0] = split
% 1.00/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.36
% 1.00/1.36 termordering = kbo
% 1.00/1.36
% 1.00/1.36 litapriori = 0
% 1.00/1.36 termapriori = 1
% 1.00/1.36 litaposteriori = 0
% 1.00/1.36 termaposteriori = 0
% 1.00/1.36 demodaposteriori = 0
% 1.00/1.36 ordereqreflfact = 0
% 1.00/1.36
% 1.00/1.36 litselect = negord
% 1.00/1.36
% 1.00/1.36 maxweight = 15
% 1.00/1.36 maxdepth = 30000
% 1.00/1.36 maxlength = 115
% 1.00/1.36 maxnrvars = 195
% 1.00/1.36 excuselevel = 1
% 1.00/1.36 increasemaxweight = 1
% 1.00/1.36
% 1.00/1.36 maxselected = 10000000
% 1.00/1.36 maxnrclauses = 10000000
% 1.00/1.36
% 1.00/1.36 showgenerated = 0
% 1.00/1.36 showkept = 0
% 1.00/1.36 showselected = 0
% 1.00/1.36 showdeleted = 0
% 1.00/1.36 showresimp = 1
% 1.00/1.36 showstatus = 2000
% 1.00/1.36
% 1.00/1.36 prologoutput = 1
% 1.00/1.36 nrgoals = 5000000
% 1.00/1.36 totalproof = 1
% 1.00/1.36
% 1.00/1.36 Symbols occurring in the translation:
% 1.00/1.36
% 1.00/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.36 . [1, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.00/1.36 ! [4, 1] (w:0, o:58, a:1, s:1, b:0),
% 1.00/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.36 'class_Ring__and__Field_Oordered__ring__strict' [40, 1] (w:1, o:68
% 1.00/1.36 , a:1, s:1, b:0),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.00/1.36 'c_lessequals' [43, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes' [45, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.00/1.36 'class_Ring__and__Field_Oordered__idom' [46, 1] (w:1, o:70, a:1, s:1
% 1.00/1.36 , b:0),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs' [47, 2] (w:1, o:167, a:1, s:1, b:0),
% 1.00/1.36 'c_HOL_Oord__class_Oless' [48, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus' [49, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.00/1.36 'class_RealVector_Oreal__normed__vector' [50, 1] (w:1, o:71, a:1, s:1
% 1.00/1.36 , b:0),
% 1.00/1.36 'tc_RealDef_Oreal' [51, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.00/1.36 'c_RealVector_Onorm__class_Onorm' [53, 2] (w:1, o:169, a:1, s:1, b:0)
% 1.00/1.36 ,
% 1.00/1.36 'class_OrderedGroup_Opordered__ab__group__add' [54, 1] (w:1, o:73, a:
% 1.00/1.36 1, s:1, b:0),
% 1.00/1.36 'class_Ring__and__Field_Oring__1__no__zero__divisors' [55, 1] (w:1
% 1.00/1.36 , o:74, a:1, s:1, b:0),
% 1.00/1.36 'c_Power_Opower__class_Opower' [57, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.00/1.36 'class_Ring__and__Field_Ozero__neq__one' [58, 1] (w:1, o:75, a:1, s:1
% 1.00/1.36 , b:0),
% 1.00/1.36 'class_Ring__and__Field_Ono__zero__divisors' [59, 1] (w:1, o:67, a:1
% 1.00/1.36 , s:1, b:0),
% 1.00/1.36 'class_Ring__and__Field_Omult__zero' [60, 1] (w:1, o:64, a:1, s:1, b:
% 1.00/1.36 0),
% 1.00/1.36 'class_Power_Opower' [61, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.00/1.36 'class_HOL_Ozero' [62, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.00/1.36 'class_HOL_Oeq' [63, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.00/1.36 'tc_Polynomial_Opoly' [64, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.00/1.36 'c_HOL_Oeq__class_Oeq' [66, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.00/1.36 'c_Polynomial_OpCons' [67, 3] (w:1, o:182, a:1, s:1, b:0),
% 1.00/1.36 'class_OrderedGroup_Oab__semigroup__idem__mult' [68, 1] (w:1, o:76
% 1.00/1.36 , a:1, s:1, b:0),
% 1.00/1.36 'class_OrderedGroup_Olordered__ab__group__add' [70, 1] (w:1, o:77, a:
% 1.45/1.81 1, s:1, b:0),
% 1.45/1.81 'c_HOL_Oplus__class_Oplus' [71, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Oring' [72, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Ofield' [73, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.45/1.81
% 1.45/1.81 'class_Ring__and__Field_Odivision__by__zero' [74, 1] (w:1, o:111, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'c_HOL_Oinverse__class_Odivide' [75, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.45/1.81
% 1.45/1.81 'class_Ring__and__Field_Opordered__ring__abs' [78, 1] (w:1, o:117, a:
% 1.45/1.81 1, s:1, b:0),
% 1.45/1.81 'class_Lattices_Olower__semilattice' [79, 1] (w:1, o:118, a:1, s:1
% 1.45/1.81 , b:0),
% 1.45/1.81 'c_Lattices_Olower__semilattice__class_Oinf' [80, 3] (w:1, o:185, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_OrderedGroup_Opordered__ab__group__add__abs' [81, 1] (w:1, o:
% 1.45/1.81 78, a:1, s:1, b:0),
% 1.45/1.81 'class_Orderings_Olinorder' [82, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.45/1.81 'c_Orderings_Oord__class_Omax' [83, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.45/1.81 'c_Transcendental_Oarctan' [84, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.45/1.81 'class_Lattices_Oboolean__algebra' [85, 1] (w:1, o:120, a:1, s:1, b:0
% 1.45/1.81 ),
% 1.45/1.81 'class_OrderedGroup_Ogroup__add' [86, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.45/1.81
% 1.45/1.81 'c_NthRoot_Osqrt' [87, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.45/1.81 'class_OrderedGroup_Olordered__ab__group__add__abs' [89, 1] (w:1, o:
% 1.45/1.81 81, a:1, s:1, b:0),
% 1.45/1.81 'c_Orderings_Oord__class_Omin' [90, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.45/1.81 'c_Transcendental_Oexp' [91, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Ocomm__semiring__1' [94, 1] (w:1, o:109, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_OrderedGroup_Opordered__comm__monoid__add' [99, 1] (w:1, o:82
% 1.45/1.81 , a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Oordered__field' [100, 1] (w:1, o:112, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_Lattices_Olattice' [101, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.45/1.81 'c_Polynomial_Opos__poly' [102, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Oordered__semidom' [103, 1] (w:1, o:113, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Oordered__semiring__strict' [104, 1] (w:1, o:
% 1.45/1.81 114, a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Oring__no__zero__divisors' [105, 1] (w:1, o:
% 1.45/1.81 123, a:1, s:1, b:0),
% 1.45/1.81 'tc_Complex_Ocomplex' [106, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.45/1.81 'c_Complex_Ocnj' [107, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Omult__mono1' [108, 1] (w:1, o:65, a:1, s:1
% 1.45/1.81 , b:0),
% 1.45/1.81 'class_Ring__and__Field_Omult__mono' [109, 1] (w:1, o:66, a:1, s:1
% 1.45/1.81 , b:0),
% 1.45/1.81 'class_Ring__and__Field_Opordered__ring' [110, 1] (w:1, o:125, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Oidom' [111, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.45/1.81
% 1.45/1.81 'class_Int_Onumber__ring' [112, 1] (w:1, o:127, a:1, s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Ocomm__semiring__0' [115, 1] (w:1, o:108, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'c_Polynomial_Osmult' [116, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.45/1.81 'c_Complex_ORe' [117, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.45/1.81 'c_Complex_OIm' [118, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.45/1.81 'c_HOL_Ominus__class_Ominus' [119, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.45/1.81 'class_OrderedGroup_Ocomm__monoid__mult' [122, 1] (w:1, o:83, a:1, s:
% 1.45/1.81 1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Opordered__cancel__semiring' [123, 1] (w:1
% 1.45/1.81 , o:130, a:1, s:1, b:0),
% 1.45/1.81 'class_RealVector_Oreal__normed__algebra' [124, 1] (w:1, o:131, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_OrderedGroup_Oab__semigroup__mult' [125, 1] (w:1, o:84, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_Ring__and__Field_Ocomm__semiring' [133, 1] (w:1, o:110, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_OrderedGroup_Oordered__ab__group__add' [134, 1] (w:1, o:72, a:
% 1.45/1.81 1, s:1, b:0),
% 1.45/1.81 'class_RealVector_Oreal__normed__field' [136, 1] (w:1, o:132, a:1, s:
% 1.45/1.81 1, b:0),
% 1.45/1.81 'class_OrderedGroup_Oab__group__add' [137, 1] (w:1, o:85, a:1, s:1
% 1.45/1.81 , b:0),
% 1.45/1.81 'class_Ring__and__Field_Oabs__if' [138, 1] (w:1, o:133, a:1, s:1, b:0
% 1.45/1.81 ),
% 1.45/1.81 'class_Ring__and__Field_Oordered__semiring' [139, 1] (w:1, o:115, a:1
% 1.45/1.81 , s:1, b:0),
% 1.45/1.81 'class_Lattices_Obounded__lattice' [141, 1] (w:1, o:134, a:1, s:1, b:
% 1.45/1.81 0),
% 1.45/1.81 'c_Orderings_Obot__class_Obot' [142, 1] (w:1, o:135, a:1, s:1, b:0),
% 9.41/9.76
% 9.41/9.76 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [144, 1]
% 9.41/9.76 (w:1, o:86, a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Ocomm__monoid__add' [145, 1] (w:1, o:87, a:1, s:1
% 9.41/9.76 , b:0),
% 9.41/9.76 'class_Ring__and__Field_Olordered__ring' [146, 1] (w:1, o:63, a:1, s:
% 9.41/9.76 1, b:0),
% 9.41/9.76 'class_SEQ_Obanach' [147, 1] (w:1, o:141, a:1, s:1, b:0),
% 9.41/9.76 'c_Polynomial_Opcompose' [148, 3] (w:1, o:188, a:1, s:1, b:0),
% 9.41/9.76 'class_Orderings_Oorder' [149, 1] (w:1, o:88, a:1, s:1, b:0),
% 9.41/9.76 'class_Orderings_Opreorder' [150, 1] (w:1, o:89, a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Oab__semigroup__add' [151, 1] (w:1, o:90, a:1, s:
% 9.41/9.76 1, b:0),
% 9.41/9.76 'class_Ring__and__Field_Opordered__semiring' [152, 1] (w:1, o:136, a:
% 9.41/9.76 1, s:1, b:0),
% 9.41/9.76 'c_Polynomial_Opoly' [153, 3] (w:1, o:189, a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Ocancel__ab__semigroup__add' [156, 1] (w:1, o:91
% 9.41/9.76 , a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Ocancel__semigroup__add' [157, 1] (w:1, o:92, a:1
% 9.41/9.76 , s:1, b:0),
% 9.41/9.76 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 9.41/9.76 [158, 2] (w:1, o:172, a:1, s:1, b:0),
% 9.41/9.76 hAPP [160, 2] (w:1, o:173, a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Olordered__ab__group__add__meet' [161, 1] (w:1
% 9.41/9.76 , o:93, a:1, s:1, b:0),
% 9.41/9.76 'class_Ring__and__Field_Osemiring' [163, 1] (w:1, o:137, a:1, s:1, b:
% 9.41/9.76 0),
% 9.41/9.76 'class_Ring__and__Field_Oordered__comm__semiring__strict' [164, 1]
% 9.41/9.76 (w:1, o:116, a:1, s:1, b:0),
% 9.41/9.76 'class_RealVector_Oreal__field' [165, 1] (w:1, o:138, a:1, s:1, b:0)
% 9.41/9.76 ,
% 9.41/9.76 'class_RealVector_Oreal__normed__div__algebra' [168, 1] (w:1, o:139
% 9.41/9.76 , a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Omonoid__mult' [169, 1] (w:1, o:94, a:1, s:1, b:0
% 9.41/9.76 ),
% 9.41/9.76 'class_OrderedGroup_Omonoid__add' [170, 1] (w:1, o:95, a:1, s:1, b:0)
% 9.41/9.76 ,
% 9.41/9.76 'c_Polynomial_Osynthetic__div' [171, 3] (w:1, o:190, a:1, s:1, b:0),
% 9.41/9.76
% 9.41/9.76 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [172, 1]
% 9.41/9.76 (w:1, o:96, a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Opordered__ab__semigroup__add' [173, 1] (w:1, o:
% 9.41/9.76 97, a:1, s:1, b:0),
% 9.41/9.76 'class_Orderings_Obot' [174, 1] (w:1, o:98, a:1, s:1, b:0),
% 9.41/9.76 'class_RealVector_Oreal__normed__algebra__1' [175, 1] (w:1, o:140, a:
% 9.41/9.76 1, s:1, b:0),
% 9.41/9.76 'v_da____' [176, 0] (w:1, o:53, a:1, s:1, b:0),
% 9.41/9.76 'v_cs____' [180, 0] (w:1, o:51, a:1, s:1, b:0),
% 9.41/9.76 'v_c____' [181, 0] (w:1, o:52, a:1, s:1, b:0),
% 9.41/9.76 'v_z____' [182, 0] (w:1, o:54, a:1, s:1, b:0),
% 9.41/9.76 'v_aa____' [183, 0] (w:1, o:55, a:1, s:1, b:0),
% 9.41/9.76 'v_sko__local__XpCons__1__1' [184, 3] (w:1, o:191, a:1, s:1, b:0),
% 9.41/9.76 'v_sko__local__XpCons__Xhyps__1' [185, 3] (w:1, o:192, a:1, s:1, b:0)
% 9.41/9.76 ,
% 9.41/9.76
% 9.41/9.76 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'
% 9.41/9.76 [186, 2] (w:1, o:174, a:1, s:1, b:0),
% 9.41/9.76 'v_sko__unknown__thm__re6__1' [187, 4] (w:1, o:193, a:1, s:1, b:0),
% 9.41/9.76 'class_OrderedGroup_Ocancel__comm__monoid__add' [191, 1] (w:1, o:99
% 9.41/9.76 , a:1, s:1, b:0),
% 9.41/9.76 'class_Ring__and__Field_Ocomm__ring' [192, 1] (w:1, o:106, a:1, s:1
% 9.41/9.76 , b:0),
% 9.41/9.76 'class_Ring__and__Field_Ocomm__ring__1' [193, 1] (w:1, o:107, a:1, s:
% 9.41/9.76 1, b:0).
% 9.41/9.76
% 9.41/9.76
% 9.41/9.76 Starting Search:
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76
% 9.41/9.76 Intermediate Status:
% 9.41/9.76 Generated: 3224
% 9.41/9.76 Kept: 2019
% 9.41/9.76 Inuse: 140
% 9.41/9.76 Deleted: 1
% 9.41/9.76 Deletedinuse: 0
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76
% 9.41/9.76 Intermediate Status:
% 9.41/9.76 Generated: 8281
% 9.41/9.76 Kept: 4031
% 9.41/9.76 Inuse: 202
% 9.41/9.76 Deleted: 2
% 9.41/9.76 Deletedinuse: 0
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76
% 9.41/9.76 Intermediate Status:
% 9.41/9.76 Generated: 12444
% 9.41/9.76 Kept: 6047
% 9.41/9.76 Inuse: 275
% 9.41/9.76 Deleted: 8
% 9.41/9.76 Deletedinuse: 0
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76
% 9.41/9.76 Intermediate Status:
% 9.41/9.76 Generated: 19057
% 9.41/9.76 Kept: 8394
% 9.41/9.76 Inuse: 343
% 9.41/9.76 Deleted: 8
% 9.41/9.76 Deletedinuse: 0
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76
% 9.41/9.76 Intermediate Status:
% 9.41/9.76 Generated: 27060
% 9.41/9.76 Kept: 11192
% 9.41/9.76 Inuse: 408
% 9.41/9.76 Deleted: 8
% 9.41/9.76 Deletedinuse: 0
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76 Resimplifying inuse:
% 9.41/9.76 Done
% 9.41/9.76
% 9.41/9.76
% 9.41/9.76 Intermediate Status:
% 9.41/9.76 Generated: 33228
% 9.41/9.76 Kept: 13200
% 9.41/9.76 Inuse: 436
% 42.40/42.80 Deleted: 8
% 42.40/42.80 Deletedinuse: 0
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 43499
% 42.40/42.80 Kept: 15216
% 42.40/42.80 Inuse: 454
% 42.40/42.80 Deleted: 8
% 42.40/42.80 Deletedinuse: 0
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 50713
% 42.40/42.80 Kept: 17223
% 42.40/42.80 Inuse: 471
% 42.40/42.80 Deleted: 8
% 42.40/42.80 Deletedinuse: 0
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 57493
% 42.40/42.80 Kept: 19326
% 42.40/42.80 Inuse: 526
% 42.40/42.80 Deleted: 10
% 42.40/42.80 Deletedinuse: 0
% 42.40/42.80
% 42.40/42.80 Resimplifying clauses:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 65709
% 42.40/42.80 Kept: 21401
% 42.40/42.80 Inuse: 586
% 42.40/42.80 Deleted: 228
% 42.40/42.80 Deletedinuse: 0
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 74956
% 42.40/42.80 Kept: 23414
% 42.40/42.80 Inuse: 633
% 42.40/42.80 Deleted: 228
% 42.40/42.80 Deletedinuse: 0
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 83400
% 42.40/42.80 Kept: 25428
% 42.40/42.80 Inuse: 681
% 42.40/42.80 Deleted: 228
% 42.40/42.80 Deletedinuse: 0
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 94120
% 42.40/42.80 Kept: 27436
% 42.40/42.80 Inuse: 754
% 42.40/42.80 Deleted: 232
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 100262
% 42.40/42.80 Kept: 29766
% 42.40/42.80 Inuse: 760
% 42.40/42.80 Deleted: 232
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 121173
% 42.40/42.80 Kept: 32808
% 42.40/42.80 Inuse: 780
% 42.40/42.80 Deleted: 232
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 136694
% 42.40/42.80 Kept: 35489
% 42.40/42.80 Inuse: 805
% 42.40/42.80 Deleted: 232
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 145493
% 42.40/42.80 Kept: 37560
% 42.40/42.80 Inuse: 845
% 42.40/42.80 Deleted: 232
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 160540
% 42.40/42.80 Kept: 39570
% 42.40/42.80 Inuse: 855
% 42.40/42.80 Deleted: 234
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying clauses:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 168138
% 42.40/42.80 Kept: 41730
% 42.40/42.80 Inuse: 893
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 177327
% 42.40/42.80 Kept: 43829
% 42.40/42.80 Inuse: 923
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 187280
% 42.40/42.80 Kept: 45834
% 42.40/42.80 Inuse: 955
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 200829
% 42.40/42.80 Kept: 49186
% 42.40/42.80 Inuse: 988
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 211905
% 42.40/42.80 Kept: 51271
% 42.40/42.80 Inuse: 1019
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 225099
% 42.40/42.80 Kept: 54811
% 42.40/42.80 Inuse: 1031
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 235424
% 42.40/42.80 Kept: 56831
% 42.40/42.80 Inuse: 1053
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 245321
% 42.40/42.80 Kept: 58849
% 42.40/42.80 Inuse: 1100
% 42.40/42.80 Deleted: 517
% 42.40/42.80 Deletedinuse: 3
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying clauses:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 256125
% 42.40/42.80 Kept: 60853
% 42.40/42.80 Inuse: 1148
% 42.40/42.80 Deleted: 936
% 42.40/42.80 Deletedinuse: 6
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 266309
% 42.40/42.80 Kept: 62866
% 42.40/42.80 Inuse: 1194
% 42.40/42.80 Deleted: 936
% 42.40/42.80 Deletedinuse: 6
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 280261
% 42.40/42.80 Kept: 64954
% 42.40/42.80 Inuse: 1212
% 42.40/42.80 Deleted: 936
% 42.40/42.80 Deletedinuse: 6
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80
% 42.40/42.80 Intermediate Status:
% 42.40/42.80 Generated: 290465
% 42.40/42.80 Kept: 66966
% 42.40/42.80 Inuse: 1242
% 42.40/42.80 Deleted: 936
% 42.40/42.80 Deletedinuse: 6
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 42.40/42.80 Done
% 42.40/42.80
% 42.40/42.80 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 298871
% 108.69/109.05 Kept: 68967
% 108.69/109.05 Inuse: 1267
% 108.69/109.05 Deleted: 936
% 108.69/109.05 Deletedinuse: 6
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 307316
% 108.69/109.05 Kept: 70971
% 108.69/109.05 Inuse: 1300
% 108.69/109.05 Deleted: 936
% 108.69/109.05 Deletedinuse: 6
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 329164
% 108.69/109.05 Kept: 74128
% 108.69/109.05 Inuse: 1327
% 108.69/109.05 Deleted: 936
% 108.69/109.05 Deletedinuse: 6
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 341313
% 108.69/109.05 Kept: 76189
% 108.69/109.05 Inuse: 1357
% 108.69/109.05 Deleted: 936
% 108.69/109.05 Deletedinuse: 6
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 355986
% 108.69/109.05 Kept: 78307
% 108.69/109.05 Inuse: 1397
% 108.69/109.05 Deleted: 937
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 374186
% 108.69/109.05 Kept: 80312
% 108.69/109.05 Inuse: 1431
% 108.69/109.05 Deleted: 937
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying clauses:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 397951
% 108.69/109.05 Kept: 83573
% 108.69/109.05 Inuse: 1437
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 411817
% 108.69/109.05 Kept: 85581
% 108.69/109.05 Inuse: 1449
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 422220
% 108.69/109.05 Kept: 87617
% 108.69/109.05 Inuse: 1482
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 430579
% 108.69/109.05 Kept: 89621
% 108.69/109.05 Inuse: 1510
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 439802
% 108.69/109.05 Kept: 91825
% 108.69/109.05 Inuse: 1532
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 460670
% 108.69/109.05 Kept: 94912
% 108.69/109.05 Inuse: 1582
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 481110
% 108.69/109.05 Kept: 97376
% 108.69/109.05 Inuse: 1587
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 494767
% 108.69/109.05 Kept: 99727
% 108.69/109.05 Inuse: 1607
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 507503
% 108.69/109.05 Kept: 101909
% 108.69/109.05 Inuse: 1637
% 108.69/109.05 Deleted: 1561
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying clauses:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 520045
% 108.69/109.05 Kept: 105751
% 108.69/109.05 Inuse: 1642
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 526473
% 108.69/109.05 Kept: 108530
% 108.69/109.05 Inuse: 1643
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 538427
% 108.69/109.05 Kept: 110712
% 108.69/109.05 Inuse: 1662
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 545163
% 108.69/109.05 Kept: 112832
% 108.69/109.05 Inuse: 1682
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 552737
% 108.69/109.05 Kept: 114861
% 108.69/109.05 Inuse: 1702
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 563687
% 108.69/109.05 Kept: 117052
% 108.69/109.05 Inuse: 1737
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 577520
% 108.69/109.05 Kept: 119074
% 108.69/109.05 Inuse: 1782
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 594569
% 108.69/109.05 Kept: 125466
% 108.69/109.05 Inuse: 1792
% 108.69/109.05 Deleted: 2152
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying clauses:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 608968
% 108.69/109.05 Kept: 128715
% 108.69/109.05 Inuse: 1797
% 108.69/109.05 Deleted: 2533
% 108.69/109.05 Deletedinuse: 7
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05 Resimplifying inuse:
% 108.69/109.05 Done
% 108.69/109.05
% 108.69/109.05
% 108.69/109.05 Intermediate Status:
% 108.69/109.05 Generated: 627883
% 108.69/109.05 Kept: 131847
% 108.69/109.05 Inuse: 1807
% 108.69/109.05 Deleted: 2533
% 108.69/109.05 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 643132
% 224.99/225.38 Kept: 133968
% 224.99/225.38 Inuse: 1852
% 224.99/225.38 Deleted: 2533
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 655786
% 224.99/225.38 Kept: 136037
% 224.99/225.38 Inuse: 1887
% 224.99/225.38 Deleted: 2533
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 677244
% 224.99/225.38 Kept: 139624
% 224.99/225.38 Inuse: 1902
% 224.99/225.38 Deleted: 2533
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 697808
% 224.99/225.38 Kept: 142566
% 224.99/225.38 Inuse: 1912
% 224.99/225.38 Deleted: 2533
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 709579
% 224.99/225.38 Kept: 144574
% 224.99/225.38 Inuse: 1937
% 224.99/225.38 Deleted: 2533
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying clauses:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 725352
% 224.99/225.38 Kept: 147164
% 224.99/225.38 Inuse: 1957
% 224.99/225.38 Deleted: 3130
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 736515
% 224.99/225.38 Kept: 149166
% 224.99/225.38 Inuse: 1988
% 224.99/225.38 Deleted: 3130
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 745992
% 224.99/225.38 Kept: 151382
% 224.99/225.38 Inuse: 2007
% 224.99/225.38 Deleted: 3130
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 760412
% 224.99/225.38 Kept: 154007
% 224.99/225.38 Inuse: 2022
% 224.99/225.38 Deleted: 3130
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 781580
% 224.99/225.38 Kept: 157365
% 224.99/225.38 Inuse: 2032
% 224.99/225.38 Deleted: 3130
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 791708
% 224.99/225.38 Kept: 159860
% 224.99/225.38 Inuse: 2057
% 224.99/225.38 Deleted: 3130
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 802901
% 224.99/225.38 Kept: 165869
% 224.99/225.38 Inuse: 2062
% 224.99/225.38 Deleted: 3130
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying clauses:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 813288
% 224.99/225.38 Kept: 167890
% 224.99/225.38 Inuse: 2092
% 224.99/225.38 Deleted: 3600
% 224.99/225.38 Deletedinuse: 7
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 822522
% 224.99/225.38 Kept: 170085
% 224.99/225.38 Inuse: 2118
% 224.99/225.38 Deleted: 3606
% 224.99/225.38 Deletedinuse: 10
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 832963
% 224.99/225.38 Kept: 172098
% 224.99/225.38 Inuse: 2145
% 224.99/225.38 Deleted: 3606
% 224.99/225.38 Deletedinuse: 10
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 847426
% 224.99/225.38 Kept: 174481
% 224.99/225.38 Inuse: 2158
% 224.99/225.38 Deleted: 3606
% 224.99/225.38 Deletedinuse: 10
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 857910
% 224.99/225.38 Kept: 177312
% 224.99/225.38 Inuse: 2163
% 224.99/225.38 Deleted: 3606
% 224.99/225.38 Deletedinuse: 10
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 872120
% 224.99/225.38 Kept: 179631
% 224.99/225.38 Inuse: 2198
% 224.99/225.38 Deleted: 3606
% 224.99/225.38 Deletedinuse: 10
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 889144
% 224.99/225.38 Kept: 183108
% 224.99/225.38 Inuse: 2218
% 224.99/225.38 Deleted: 3606
% 224.99/225.38 Deletedinuse: 10
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 930118
% 224.99/225.38 Kept: 186693
% 224.99/225.38 Inuse: 2233
% 224.99/225.38 Deleted: 3607
% 224.99/225.38 Deletedinuse: 11
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying clauses:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 968070
% 224.99/225.38 Kept: 189596
% 224.99/225.38 Inuse: 2238
% 224.99/225.38 Deleted: 4136
% 224.99/225.38 Deletedinuse: 11
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 976880
% 224.99/225.38 Kept: 191731
% 224.99/225.38 Inuse: 2253
% 224.99/225.38 Deleted: 4136
% 224.99/225.38 Deletedinuse: 11
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 986335
% 224.99/225.38 Kept: 193924
% 224.99/225.38 Inuse: 2268
% 224.99/225.38 Deleted: 4136
% 224.99/225.38 Deletedinuse: 11
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 Generated: 1000498
% 224.99/225.38 Kept: 198035
% 224.99/225.38 Inuse: 2270
% 224.99/225.38 Deleted: 4136
% 224.99/225.38 Deletedinuse: 11
% 224.99/225.38
% 224.99/225.38 Resimplifying inuse:
% 224.99/225.38 Done
% 224.99/225.38
% 224.99/225.38
% 224.99/225.38 Intermediate Status:
% 224.99/225.38 GeneraCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------