TSTP Solution File: ALG387-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 12:10:40 EDT 2022
% Result : Timeout 300.01s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 8 13:55:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.88/1.29 *** allocated 10000 integers for termspace/termends
% 0.88/1.29 *** allocated 10000 integers for clauses
% 0.88/1.29 *** allocated 10000 integers for justifications
% 0.88/1.29 *** allocated 15000 integers for termspace/termends
% 0.88/1.29 *** allocated 22500 integers for termspace/termends
% 0.88/1.29 Bliksem 1.12
% 0.88/1.29
% 0.88/1.29
% 0.88/1.29 Automatic Strategy Selection
% 0.88/1.29
% 0.88/1.29 Clauses:
% 0.88/1.29 [
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.29 , Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.29 X ), X ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.88/1.29 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.88/1.29 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.29 ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.29 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.29 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.29 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.88/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.88/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.88/1.29 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.29 ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.88/1.29 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.29 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.88/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 , X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 , X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.29 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 , X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.88/1.29 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 , X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.88/1.29 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.29 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.29 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.88/1.29 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.29 ), =( Z, Y ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.29 , X ) ) ), =( Y, Z ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.29 , X ) ) ), =( Y, Z ) ],
% 0.88/1.29 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.88/1.29 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.29 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.88/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.88/1.29 ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.88/1.29 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.88/1.29 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.29 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.88/1.29 ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.29 ), X ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 Z, Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.29 , X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.29 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.88/1.29 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.29 Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.88/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.29 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.29 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.88/1.29 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.29 ) ],
% 0.88/1.29 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.29 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.29 , T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.29 , Z, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.29 , T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.29 , Z, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.29 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.29 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.29 X ) ) ],
% 0.88/1.29 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.88/1.29 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.29 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.29 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.29 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.29 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.29 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.29 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.29 , X ), W, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.88/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.29 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.88/1.29 , X ), T, X ), W, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.29 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.29 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.88/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.29 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.29 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.29 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.88/1.29 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.88/1.29 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.29 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.88/1.29 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.88/1.29 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.88/1.29 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.29 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.29 ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.29 T, X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.29 ],
% 0.88/1.29 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.29 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.29 Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.88/1.29 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.29 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.29 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.88/1.29 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.88/1.29 ), X ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.29 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.88/1.29 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.88/1.29 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.88/1.29 ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.29 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.29 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 0.88/1.29 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.29 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.88/1.29 ,
% 0.88/1.29 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.88/1.29 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.29 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.29 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.88/1.29 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.29 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.29 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.29 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.29 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.29 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.88/1.29 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.29 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.29 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.29 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.29 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.29 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.29 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.29 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.29 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.88/1.29 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.29 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.88/1.29 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.29 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.29 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.88/1.29 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.88/1.29 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.29 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.88/1.29 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.88/1.29 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.29 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.29 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.29 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.29 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.29 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.29 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.29 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ =( 'c_Complex_OIm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.29 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_OIm'( X
% 0.88/1.29 ), 'c_Complex_OIm'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.29 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.88/1.29 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.29 T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.29 X ), Z, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.29 T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.29 X ), T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.29 T, X ), X ) ) ],
% 0.88/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.29 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.29 X ), T, X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.29 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.88/1.29 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.88/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.88/1.30 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.30 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.88/1.30 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 Y, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.88/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.88/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.88/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 0.88/1.30 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.88/1.30 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.88/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.30 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.88/1.30 X ), X ), Y ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.88/1.30 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.88/1.30 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.88/1.30 X ), X ), X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.88/1.30 Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.88/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.30 Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.88/1.30 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.88/1.30 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.88/1.30 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.88/1.30 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.88/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.88/1.30 ), Y ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.88/1.30 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.88/1.30 , 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.88/1.30 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.30 , Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.30 , Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.88/1.30 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.88/1.30 [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.88/1.30 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.30 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.88/1.30 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.30 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.88/1.30 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.88/1.30 X ), X ), Y ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.30 ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.30 , T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.88/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 X ), T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.88/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.88/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.30 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.88/1.30 , X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.88/1.30 , X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.88/1.30 Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.88/1.30 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.30 ) ), =( Y, Z ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.30 ) ), =( Y, Z ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.30 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.30 , U, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.88/1.30 , Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.88/1.30 , T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.88/1.30 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.88/1.30 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.88/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.88/1.30 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.30 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.30 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.30 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.88/1.30 , 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.88/1.30 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.30 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.88/1.30 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.30 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.88/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.88/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.30 X ) ) ), =( Z, T ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.30 X ) ) ), =( Z, T ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.30 X ) ) ), =( Y, T ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ),
% 0.88/1.30 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.88/1.30 X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.30 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.30 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.88/1.30 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.88/1.30 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.88/1.30 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.30 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.88/1.30 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.88/1.30 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.88/1.30 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.88/1.30 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.88/1.30 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.30 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.88/1.30 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.88/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.88/1.30 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.88/1.30 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.88/1.30 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.88/1.30 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.88/1.30 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.88/1.30 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.88/1.30 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.30 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.88/1.30 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.30 , X ), W, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.88/1.30 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 0.88/1.30 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.88/1.30 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 0.88/1.30 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.88/1.30 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.30 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.88/1.30 Y, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.88/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.30 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.88/1.30 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.88/1.30 W, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.88/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.88/1.30 , X ), T, X ), W, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.88/1.30 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.88/1.30 W, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.88/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.88/1.30 , X ), W, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.30 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.30 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 X ), T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.30 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.88/1.30 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.88/1.30 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.30 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.88/1.30 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.88/1.30 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.30 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.30 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.30 ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.88/1.30 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.88/1.30 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.88/1.30 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.88/1.30 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.30 ), Y ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.88/1.30 , Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.30 ), Y ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.30 ), Y ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.30 ), Y ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.30 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.88/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.30 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.88/1.30 T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.88/1.30 T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.30 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.88/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 T, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 T, Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.30 Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.88/1.30 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ =( 'c_Complex_OIm'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.88/1.30 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.88/1.30 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.30 , Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.30 , Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.88/1.30 ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.30 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.88/1.30 [ ~( =( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ) ) ), ~( =(
% 0.88/1.30 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ) ) ), =( X, Y ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.30 , X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 'c_Complex_ORe'( X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.88/1.30 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.88/1.30 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.88/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.30 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.88/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.88/1.30 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.88/1.30 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.88/1.30 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.88/1.30 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.88/1.30 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 0.88/1.30 ) ],
% 0.88/1.30 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.88/1.30 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.88/1.30 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.88/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ =( 'c_Complex_ORe'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.30 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_ORe'( X
% 0.88/1.30 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Z, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.88/1.30 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.30 , T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.88/1.30 , T, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.30 , Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.88/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.88/1.30 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.88/1.30 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.30 [ =( 'c_Complex_OIm'( 'c_Complex_Ocnj'( X ) ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_Complex_OIm'( X ), 'tc_RealDef_Oreal'
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.88/1.30 ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.88/1.30 Y, X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.30 X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.88/1.30 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.30 , X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.88/1.30 ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.88/1.30 , X ), Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.88/1.30 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.88/1.30 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.88/1.30 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.88/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.88/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.88/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.88/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.88/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.88/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.88/1.30 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.88/1.30 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 0.88/1.30 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.88/1.30 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.88/1.30 ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.88/1.30 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.88/1.30 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.88/1.30 ), X ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.88/1.30 , X ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.88/1.30 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.88/1.30 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 0.88/1.30 X ), X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.88/1.30 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.30 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.88/1.30 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 Z, Y, X ), X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_OIm'( X ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.88/1.30 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.30 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.88/1.30 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.88/1.30 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.88/1.30 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.88/1.30 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.88/1.30 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.88/1.30 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 'tc_Complex_Ocomplex' ) ) ) ) ],
% 0.88/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.88/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal'
% 0.88/1.30 ), 'tc_RealDef_Oreal' ), 'c_lessequals'( Y,
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.30 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.88/1.30 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.88/1.30 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex'
% 0.88/1.30 ), T, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1'( Y
% 0.88/1.30 , X, Z ), 'c_RealVector_Onorm__class_Onorm'( T, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'v_v____', 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'v_r____', 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( X,
% 0.88/1.30 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
% 0.88/1.30 X, Y ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.88/1.30 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 0.88/1.30 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.88/1.30 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'v_v____', 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'v_r____', 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' )
% 0.88/1.30 , 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.88/1.30 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 0.88/1.30 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ), X
% 0.88/1.30 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' )
% 0.88/1.30 , ~( 'c_lessequals'( 'v_r____', 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'v_cs____', 'v_sko__local__XpCons__1'( 'v_cs____' )
% 0.88/1.30 , 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_cs____', X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'v_cs____', 'v_sko__local__XpCons__Xhyps__1'(
% 0.88/1.30 'v_cs____' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_cs____', X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.30 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.88/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.30 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.88/1.30 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.30 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.88/1.30 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Oabs__class_Oabs'( 'v_r____',
% 0.88/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_lessequals'( 'v_r____',
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'v_v____', 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs'( 'v_r____', 'tc_RealDef_Oreal' ),
% 0.88/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'v_v____', 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.88/1.30 'v_r____', 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' )
% 0.88/1.30 , 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'(
% 0.88/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.88/1.30 'tc_Complex_Ocomplex' ), hAPP( 'v_x', X ), 'tc_Complex_Ocomplex' ),
% 0.88/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.88/1.30 ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.88/1.30 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.88/1.30 ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.88/1.30 ],
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.30 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.88/1.30 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.30 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.88/1.30 ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.88/1.30 ],
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.88/1.30 ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.88/1.30 ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.88/1.30 ,
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.30 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.88/1.30 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.88/1.30 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.88/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.88/1.30 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.88/1.30 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.88/1.30 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.88/1.30 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.88/1.30 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.88/1.30 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.30 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.30 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.88/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.88/1.30 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.30 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.30 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.30 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.30 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.88/1.30 X ) ) ],
% 0.88/1.30 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 0.88/1.30 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 0.88/1.30 ] .
% 0.88/1.30
% 0.88/1.30
% 0.88/1.30 percentage equality = 0.192210, percentage horn = 0.934161
% 0.88/1.30 This is a problem with some equality
% 0.88/1.30
% 0.88/1.30
% 0.88/1.30
% 0.88/1.30 Options Used:
% 0.88/1.30
% 0.88/1.30 useres = 1
% 0.88/1.30 useparamod = 1
% 0.88/1.30 useeqrefl = 1
% 0.88/1.30 useeqfact = 1
% 0.88/1.30 usefactor = 1
% 0.88/1.30 usesimpsplitting = 0
% 0.88/1.30 usesimpdemod = 5
% 0.88/1.30 usesimpres = 3
% 0.88/1.30
% 0.88/1.30 resimpinuse = 1000
% 0.88/1.30 resimpclauses = 20000
% 0.88/1.30 substype = eqrewr
% 0.88/1.30 backwardsubs = 1
% 0.88/1.30 selectoldest = 5
% 0.88/1.30
% 0.88/1.30 litorderings [0] = split
% 0.88/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.30
% 0.88/1.30 termordering = kbo
% 0.88/1.30
% 0.88/1.30 litapriori = 0
% 0.88/1.30 termapriori = 1
% 0.88/1.30 litaposteriori = 0
% 0.88/1.30 termaposteriori = 0
% 0.88/1.30 demodaposteriori = 0
% 0.88/1.30 ordereqreflfact = 0
% 0.88/1.30
% 0.88/1.30 litselect = negord
% 0.88/1.30
% 0.88/1.30 maxweight = 15
% 0.88/1.30 maxdepth = 30000
% 0.88/1.30 maxlength = 115
% 0.88/1.30 maxnrvars = 195
% 0.88/1.30 excuselevel = 1
% 0.88/1.30 increasemaxweight = 1
% 0.88/1.30
% 0.88/1.30 maxselected = 10000000
% 0.88/1.30 maxnrclauses = 10000000
% 0.88/1.30
% 0.88/1.30 showgenerated = 0
% 0.88/1.30 showkept = 0
% 0.88/1.30 showselected = 0
% 0.88/1.30 showdeleted = 0
% 0.88/1.30 showresimp = 1
% 0.88/1.30 showstatus = 2000
% 0.88/1.30
% 0.88/1.30 prologoutput = 1
% 0.88/1.30 nrgoals = 5000000
% 0.88/1.30 totalproof = 1
% 0.88/1.30
% 0.88/1.30 Symbols occurring in the translation:
% 0.88/1.30
% 0.88/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.30 . [1, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.88/1.30 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 0.88/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.30 'class_Lattices_Olower__semilattice' [40, 1] (w:1, o:59, a:1, s:1, b:
% 0.88/1.30 0),
% 0.88/1.30 'c_Lattices_Olower__semilattice__class_Oinf' [43, 3] (w:1, o:170, a:1
% 0.88/1.30 , s:1, b:0),
% 0.88/1.30 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.88/1.30 'class_Ring__and__Field_Oordered__idom' [46, 1] (w:1, o:65, a:1, s:1
% 0.88/1.30 , b:0),
% 0.88/1.30 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.88/1.30 'c_HOL_Oabs__class_Oabs' [48, 2] (w:1, o:161, a:1, s:1, b:0),
% 0.88/1.30 'class_Ring__and__Field_Opordered__ring__abs' [49, 1] (w:1, o:71, a:1
% 0.88/1.30 , s:1, b:0),
% 0.88/1.30 'c_HOL_Ozero__class_Ozero' [50, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.88/1.30 'c_lessequals' [51, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.88/1.30 'class_Ring__and__Field_Oring' [52, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.88/1.30 'c_HOL_Ouminus__class_Ouminus' [53, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.88/1.30 'tc_RealDef_Oreal' [55, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.88/1.30 'c_HOL_Oplus__class_Oplus' [56, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.88/1.30 'class_OrderedGroup_Olordered__ab__group__add' [57, 1] (w:1, o:74, a:
% 0.88/1.30 1, s:1, b:0),
% 0.88/1.30 'class_OrderedGroup_Oab__semigroup__idem__mult' [58, 1] (w:1, o:75
% 0.88/1.30 , a:1, s:1, b:0),
% 0.88/1.30 'class_HOL_Ozero' [59, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.88/1.30 'class_HOL_Oeq' [60, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.88/1.30 'c_HOL_Oeq__class_Oeq' [61, 3] (w:1, o:175, a:1, s:1, b:0),
% 0.88/1.30 'tc_Polynomial_Opoly' [62, 1] (w:1, o:78, a:1, s:1, b:0),
% 0.88/1.30 'c_Polynomial_OpCons' [64, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.88/1.30 'class_Ring__and__Field_Ozero__neq__one' [65, 1] (w:1, o:79, a:1, s:1
% 0.88/1.30 , b:0),
% 0.88/1.30 'class_Ring__and__Field_Ono__zero__divisors' [66, 1] (w:1, o:64, a:1
% 0.88/1.30 , s:1, b:0),
% 0.88/1.30 'class_Ring__and__Field_Omult__zero' [67, 1] (w:1, o:61, a:1, s:1, b:
% 0.88/1.30 0),
% 0.88/1.30 'class_Power_Opower' [68, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.88/1.30 'c_Power_Opower__class_Opower' [70, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.88/1.30 'class_Ring__and__Field_Oring__1__no__zero__divisors' [71, 1] (w:1
% 0.88/1.30 , o:105, a:1, s:1, b:0),
% 0.88/1.30 'class_OrderedGroup_Opordered__ab__group__add' [72, 1] (w:1, o:81, a:
% 0.88/1.30 1, s:1, b:0),
% 0.88/1.30 'class_RealVector_Oreal__normed__vector' [73, 1] (w:1, o:106, a:1, s:
% 0.88/1.30 1, b:0),
% 0.88/1.30 'c_RealVector_Onorm__class_Onorm' [74, 2] (w:1, o:163, a:1, s:1, b:0)
% 1.73/2.08 ,
% 1.73/2.08 'class_Ring__and__Field_Oordered__ring__strict' [75, 1] (w:1, o:66
% 1.73/2.08 , a:1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Oordered__semiring__strict' [76, 1] (w:1, o:
% 1.73/2.08 67, a:1, s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Opordered__ab__group__add__abs' [78, 1] (w:1, o:
% 1.73/2.08 82, a:1, s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Ogroup__add' [79, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.73/2.08
% 1.73/2.08 'c_NthRoot_Osqrt' [80, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.73/2.08 'class_Orderings_Olinorder' [81, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.73/2.08 'c_Orderings_Oord__class_Omax' [82, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.73/2.08 'c_Transcendental_Oarctan' [83, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.73/2.08 'class_Lattices_Oboolean__algebra' [84, 1] (w:1, o:109, a:1, s:1, b:0
% 1.73/2.08 ),
% 1.73/2.08 'class_OrderedGroup_Olordered__ab__group__add__abs' [85, 1] (w:1, o:
% 1.73/2.08 85, a:1, s:1, b:0),
% 1.73/2.08 'c_Orderings_Oord__class_Omin' [87, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.73/2.08 'c_Transcendental_Oexp' [88, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Ocomm__semiring__1' [90, 1] (w:1, o:113, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Opordered__comm__monoid__add' [95, 1] (w:1, o:86
% 1.73/2.08 , a:1, s:1, b:0),
% 1.73/2.08 'class_Lattices_Olattice' [97, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.73/2.08 'c_Polynomial_Opos__poly' [98, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Oordered__semidom' [99, 1] (w:1, o:68, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Oring__no__zero__divisors' [100, 1] (w:1, o:
% 1.73/2.08 115, a:1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Ocomm__semiring__0' [101, 1] (w:1, o:112, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'c_Polynomial_Osmult' [103, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Oab__group__add' [104, 1] (w:1, o:87, a:1, s:1
% 1.73/2.08 , b:0),
% 1.73/2.08 'c_HOL_Ominus__class_Ominus' [105, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Oidom' [106, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.73/2.08
% 1.73/2.08 'class_Int_Onumber__ring' [107, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Oabs__if' [108, 1] (w:1, o:118, a:1, s:1, b:0
% 1.73/2.08 ),
% 1.73/2.08 'class_Ring__and__Field_Oordered__semiring' [109, 1] (w:1, o:69, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'class_Lattices_Obounded__lattice' [112, 1] (w:1, o:119, a:1, s:1, b:
% 1.73/2.08 0),
% 1.73/2.08 'c_Orderings_Obot__class_Obot' [113, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.73/2.08
% 1.73/2.08 'class_Ring__and__Field_Opordered__ring' [114, 1] (w:1, o:121, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [117, 1]
% 1.73/2.08 (w:1, o:88, a:1, s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Ocomm__monoid__add' [118, 1] (w:1, o:89, a:1, s:1
% 1.73/2.08 , b:0),
% 1.73/2.08 'class_Ring__and__Field_Olordered__ring' [119, 1] (w:1, o:60, a:1, s:
% 1.73/2.08 1, b:0),
% 1.73/2.08 'tc_Complex_Ocomplex' [120, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.73/2.08 'c_Complex_Ocnj' [121, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Omult__mono1' [122, 1] (w:1, o:62, a:1, s:1
% 1.73/2.08 , b:0),
% 1.73/2.08 'class_Ring__and__Field_Omult__mono' [123, 1] (w:1, o:63, a:1, s:1
% 1.73/2.08 , b:0),
% 1.73/2.08 'class_OrderedGroup_Ocomm__monoid__mult' [126, 1] (w:1, o:90, a:1, s:
% 1.73/2.08 1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Opordered__cancel__semiring' [127, 1] (w:1
% 1.73/2.08 , o:123, a:1, s:1, b:0),
% 1.73/2.08 'class_RealVector_Oreal__normed__algebra' [128, 1] (w:1, o:124, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'c_Complex_OIm' [129, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Oab__semigroup__mult' [130, 1] (w:1, o:91, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Ocomm__semiring' [139, 1] (w:1, o:126, a:1
% 1.73/2.08 , s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Oordered__ab__group__add' [140, 1] (w:1, o:80, a:
% 1.73/2.08 1, s:1, b:0),
% 1.73/2.08 'class_Ring__and__Field_Opordered__semiring' [141, 1] (w:1, o:127, a:
% 1.73/2.08 1, s:1, b:0),
% 1.73/2.08 'c_Polynomial_Opoly' [142, 3] (w:1, o:182, a:1, s:1, b:0),
% 1.73/2.08 'c_Polynomial_Opcompose' [143, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.73/2.08 'class_Orderings_Oorder' [144, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.73/2.08 'class_Orderings_Opreorder' [145, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.73/2.08 'class_OrderedGroup_Oab__semigroup__add' [146, 1] (w:1, o:94, a:1, s:
% 1.73/2.08 1, b:0),
% 1.73/2.08 'c_Complex_ORe' [147, 1] (w:1, o:128, a:1, s:1, b:0),
% 12.34/12.71 'class_Ring__and__Field_Osemiring' [148, 1] (w:1, o:129, a:1, s:1, b:
% 12.34/12.71 0),
% 12.34/12.71 'class_SEQ_Obanach' [150, 1] (w:1, o:133, a:1, s:1, b:0),
% 12.34/12.71 'class_RealVector_Oreal__normed__field' [151, 1] (w:1, o:130, a:1, s:
% 12.34/12.71 1, b:0),
% 12.34/12.71 'class_Ring__and__Field_Oordered__comm__semiring__strict' [152, 1]
% 12.34/12.71 (w:1, o:70, a:1, s:1, b:0),
% 12.34/12.71 'class_OrderedGroup_Ocancel__ab__semigroup__add' [155, 1] (w:1, o:95
% 12.34/12.71 , a:1, s:1, b:0),
% 12.34/12.71 'class_OrderedGroup_Ocancel__semigroup__add' [156, 1] (w:1, o:96, a:1
% 12.34/12.71 , s:1, b:0),
% 12.34/12.71 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 12.34/12.71 [157, 2] (w:1, o:166, a:1, s:1, b:0),
% 12.34/12.71 'class_OrderedGroup_Olordered__ab__group__add__meet' [158, 1] (w:1
% 12.34/12.71 , o:97, a:1, s:1, b:0),
% 12.34/12.71 'class_RealVector_Oreal__normed__div__algebra' [160, 1] (w:1, o:131
% 12.34/12.71 , a:1, s:1, b:0),
% 12.34/12.71 'class_OrderedGroup_Omonoid__mult' [161, 1] (w:1, o:98, a:1, s:1, b:0
% 12.34/12.71 ),
% 12.34/12.71 'class_OrderedGroup_Omonoid__add' [162, 1] (w:1, o:99, a:1, s:1, b:0)
% 12.34/12.71 ,
% 12.34/12.71 'c_Polynomial_Osynthetic__div' [163, 3] (w:1, o:184, a:1, s:1, b:0),
% 12.34/12.71
% 12.34/12.71 'c_Fun_Oid' [164, 2] (w:1, o:167, a:1, s:1, b:0),
% 12.34/12.71 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [165, 1]
% 12.34/12.71 (w:1, o:100, a:1, s:1, b:0),
% 12.34/12.71 'class_OrderedGroup_Opordered__ab__semigroup__add' [166, 1] (w:1, o:
% 12.34/12.71 101, a:1, s:1, b:0),
% 12.34/12.71 'class_Orderings_Obot' [167, 1] (w:1, o:102, a:1, s:1, b:0),
% 12.34/12.71 'class_RealVector_Oreal__normed__algebra__1' [168, 1] (w:1, o:132, a:
% 12.34/12.71 1, s:1, b:0),
% 12.34/12.71 'v_x' [169, 0] (w:1, o:46, a:1, s:1, b:0),
% 12.34/12.71 't_a' [170, 0] (w:1, o:47, a:1, s:1, b:0),
% 12.34/12.71 'v_cs____' [171, 0] (w:1, o:48, a:1, s:1, b:0),
% 12.34/12.71 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1' [172
% 12.34/12.71 , 3] (w:1, o:185, a:1, s:1, b:0),
% 12.34/12.71 'v_c____' [173, 0] (w:1, o:49, a:1, s:1, b:0),
% 12.34/12.71 'v_v____' [174, 0] (w:1, o:50, a:1, s:1, b:0),
% 12.34/12.71 'v_r____' [175, 0] (w:1, o:51, a:1, s:1, b:0),
% 12.34/12.71
% 12.34/12.71 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'
% 12.34/12.71 [176, 2] (w:1, o:168, a:1, s:1, b:0),
% 12.34/12.71 'v_sko__local__XpCons__1' [177, 1] (w:1, o:134, a:1, s:1, b:0),
% 12.34/12.71 'v_sko__local__XpCons__Xhyps__1' [178, 1] (w:1, o:135, a:1, s:1, b:0)
% 12.34/12.71 ,
% 12.34/12.71 hAPP [181, 2] (w:1, o:169, a:1, s:1, b:0),
% 12.34/12.71 'class_OrderedGroup_Ocancel__comm__monoid__add' [183, 1] (w:1, o:103
% 12.34/12.71 , a:1, s:1, b:0),
% 12.34/12.71 'class_Ring__and__Field_Ocomm__ring' [184, 1] (w:1, o:110, a:1, s:1
% 12.34/12.71 , b:0),
% 12.34/12.71 'class_Ring__and__Field_Ocomm__ring__1' [185, 1] (w:1, o:111, a:1, s:
% 12.34/12.71 1, b:0).
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Starting Search:
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 3029
% 12.34/12.71 Kept: 2002
% 12.34/12.71 Inuse: 176
% 12.34/12.71 Deleted: 0
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 8832
% 12.34/12.71 Kept: 4064
% 12.34/12.71 Inuse: 221
% 12.34/12.71 Deleted: 0
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 12861
% 12.34/12.71 Kept: 6066
% 12.34/12.71 Inuse: 297
% 12.34/12.71 Deleted: 7
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 19158
% 12.34/12.71 Kept: 8290
% 12.34/12.71 Inuse: 359
% 12.34/12.71 Deleted: 7
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 28277
% 12.34/12.71 Kept: 10620
% 12.34/12.71 Inuse: 379
% 12.34/12.71 Deleted: 7
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 33876
% 12.34/12.71 Kept: 12645
% 12.34/12.71 Inuse: 425
% 12.34/12.71 Deleted: 7
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 42785
% 12.34/12.71 Kept: 14749
% 12.34/12.71 Inuse: 449
% 12.34/12.71 Deleted: 7
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 48549
% 12.34/12.71 Kept: 16827
% 12.34/12.71 Inuse: 492
% 12.34/12.71 Deleted: 9
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71
% 12.34/12.71 Intermediate Status:
% 12.34/12.71 Generated: 55474
% 12.34/12.71 Kept: 19793
% 12.34/12.71 Inuse: 542
% 12.34/12.71 Deleted: 9
% 12.34/12.71 Deletedinuse: 0
% 12.34/12.71
% 12.34/12.71 Resimplifying inuse:
% 12.34/12.71 Done
% 12.34/12.71
% 12.34/12.71 Resimplifying clauses:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 64155
% 55.45/55.88 Kept: 21838
% 55.45/55.88 Inuse: 597
% 55.45/55.88 Deleted: 139
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 74070
% 55.45/55.88 Kept: 24480
% 55.45/55.88 Inuse: 627
% 55.45/55.88 Deleted: 139
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 81364
% 55.45/55.88 Kept: 26487
% 55.45/55.88 Inuse: 638
% 55.45/55.88 Deleted: 139
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 98045
% 55.45/55.88 Kept: 29278
% 55.45/55.88 Inuse: 667
% 55.45/55.88 Deleted: 139
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 108423
% 55.45/55.88 Kept: 31474
% 55.45/55.88 Inuse: 682
% 55.45/55.88 Deleted: 139
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 119356
% 55.45/55.88 Kept: 33521
% 55.45/55.88 Inuse: 727
% 55.45/55.88 Deleted: 139
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 130520
% 55.45/55.88 Kept: 35521
% 55.45/55.88 Inuse: 781
% 55.45/55.88 Deleted: 139
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 140945
% 55.45/55.88 Kept: 37581
% 55.45/55.88 Inuse: 835
% 55.45/55.88 Deleted: 141
% 55.45/55.88 Deletedinuse: 0
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 152030
% 55.45/55.88 Kept: 40616
% 55.45/55.88 Inuse: 879
% 55.45/55.88 Deleted: 145
% 55.45/55.88 Deletedinuse: 3
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying clauses:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 168508
% 55.45/55.88 Kept: 42813
% 55.45/55.88 Inuse: 919
% 55.45/55.88 Deleted: 464
% 55.45/55.88 Deletedinuse: 3
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 186432
% 55.45/55.88 Kept: 45699
% 55.45/55.88 Inuse: 969
% 55.45/55.88 Deleted: 464
% 55.45/55.88 Deletedinuse: 3
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 197455
% 55.45/55.88 Kept: 47784
% 55.45/55.88 Inuse: 984
% 55.45/55.88 Deleted: 495
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 205408
% 55.45/55.88 Kept: 49784
% 55.45/55.88 Inuse: 1007
% 55.45/55.88 Deleted: 570
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 214176
% 55.45/55.88 Kept: 53434
% 55.45/55.88 Inuse: 1014
% 55.45/55.88 Deleted: 580
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 220739
% 55.45/55.88 Kept: 55472
% 55.45/55.88 Inuse: 1021
% 55.45/55.88 Deleted: 608
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 229232
% 55.45/55.88 Kept: 57486
% 55.45/55.88 Inuse: 1044
% 55.45/55.88 Deleted: 616
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 241327
% 55.45/55.88 Kept: 60902
% 55.45/55.88 Inuse: 1050
% 55.45/55.88 Deleted: 616
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying clauses:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 251873
% 55.45/55.88 Kept: 62972
% 55.45/55.88 Inuse: 1103
% 55.45/55.88 Deleted: 1270
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 261893
% 55.45/55.88 Kept: 67574
% 55.45/55.88 Inuse: 1113
% 55.45/55.88 Deleted: 1270
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 270616
% 55.45/55.88 Kept: 70119
% 55.45/55.88 Inuse: 1118
% 55.45/55.88 Deleted: 1270
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 282134
% 55.45/55.88 Kept: 72504
% 55.45/55.88 Inuse: 1128
% 55.45/55.88 Deleted: 1270
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 290847
% 55.45/55.88 Kept: 74514
% 55.45/55.88 Inuse: 1168
% 55.45/55.88 Deleted: 1270
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 302592
% 55.45/55.88 Kept: 77051
% 55.45/55.88 Inuse: 1198
% 55.45/55.88 Deleted: 1270
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 315154
% 55.45/55.88 Kept: 79487
% 55.45/55.88 Inuse: 1208
% 55.45/55.88 Deleted: 1270
% 55.45/55.88 Deletedinuse: 4
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying inuse:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88 Resimplifying clauses:
% 55.45/55.88 Done
% 55.45/55.88
% 55.45/55.88
% 55.45/55.88 Intermediate Status:
% 55.45/55.88 Generated: 325621
% 55.45/55.88 Kept: 81493
% 203.41/203.87 Inuse: 1230
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 334871
% 203.41/203.87 Kept: 83553
% 203.41/203.87 Inuse: 1248
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 344991
% 203.41/203.87 Kept: 85572
% 203.41/203.87 Inuse: 1288
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 366917
% 203.41/203.87 Kept: 88282
% 203.41/203.87 Inuse: 1298
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 389443
% 203.41/203.87 Kept: 91544
% 203.41/203.87 Inuse: 1308
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 400475
% 203.41/203.87 Kept: 93590
% 203.41/203.87 Inuse: 1343
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 409849
% 203.41/203.87 Kept: 95656
% 203.41/203.87 Inuse: 1373
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 420858
% 203.41/203.87 Kept: 97680
% 203.41/203.87 Inuse: 1416
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 439830
% 203.41/203.87 Kept: 100225
% 203.41/203.87 Inuse: 1423
% 203.41/203.87 Deleted: 1474
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying clauses:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 451265
% 203.41/203.87 Kept: 102235
% 203.41/203.87 Inuse: 1442
% 203.41/203.87 Deleted: 1701
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 465192
% 203.41/203.87 Kept: 104720
% 203.41/203.87 Inuse: 1448
% 203.41/203.87 Deleted: 1701
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 475325
% 203.41/203.87 Kept: 106898
% 203.41/203.87 Inuse: 1463
% 203.41/203.87 Deleted: 1701
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 486543
% 203.41/203.87 Kept: 112196
% 203.41/203.87 Inuse: 1478
% 203.41/203.87 Deleted: 1701
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 496617
% 203.41/203.87 Kept: 114361
% 203.41/203.87 Inuse: 1513
% 203.41/203.87 Deleted: 1701
% 203.41/203.87 Deletedinuse: 4
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 504882
% 203.41/203.87 Kept: 116361
% 203.41/203.87 Inuse: 1542
% 203.41/203.87 Deleted: 1706
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 523865
% 203.41/203.87 Kept: 119637
% 203.41/203.87 Inuse: 1575
% 203.41/203.87 Deleted: 1707
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 531701
% 203.41/203.87 Kept: 121996
% 203.41/203.87 Inuse: 1580
% 203.41/203.87 Deleted: 1707
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying clauses:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 550001
% 203.41/203.87 Kept: 125154
% 203.41/203.87 Inuse: 1615
% 203.41/203.87 Deleted: 1971
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 581675
% 203.41/203.87 Kept: 127998
% 203.41/203.87 Inuse: 1630
% 203.41/203.87 Deleted: 1971
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 610251
% 203.41/203.87 Kept: 130285
% 203.41/203.87 Inuse: 1635
% 203.41/203.87 Deleted: 1971
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 628746
% 203.41/203.87 Kept: 135031
% 203.41/203.87 Inuse: 1658
% 203.41/203.87 Deleted: 1971
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 642846
% 203.41/203.87 Kept: 137518
% 203.41/203.87 Inuse: 1659
% 203.41/203.87 Deleted: 1971
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 649742
% 203.41/203.87 Kept: 139833
% 203.41/203.87 Inuse: 1675
% 203.41/203.87 Deleted: 1971
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 657740
% 203.41/203.87 Kept: 142774
% 203.41/203.87 Inuse: 1680
% 203.41/203.87 Deleted: 1971
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying clauses:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87
% 203.41/203.87 Intermediate Status:
% 203.41/203.87 Generated: 672827
% 203.41/203.87 Kept: 146417
% 203.41/203.87 Inuse: 1690
% 203.41/203.87 Deleted: 2448
% 203.41/203.87 Deletedinuse: 7
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:
% 203.41/203.87 Done
% 203.41/203.87
% 203.41/203.87 Resimplifying inuse:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------