TSTP Solution File: ALG350-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 12:10:27 EDT 2022
% Result : Unsatisfiable 0.71s 1.13s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Wed Jun 8 22:52:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11 [
% 0.71/1.11 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.71/1.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.71/1.11 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.71/1.11 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.71/1.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.71/1.11 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.11 Z, Y, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.71/1.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.71/1.11 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.71/1.11 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.71/1.11 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.71/1.11 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 0.71/1.11 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.71/1.11 ), Y ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.71/1.11 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.71/1.11 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.71/1.11 ), X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.71/1.11 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.71/1.11 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.71/1.11 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.71/1.11 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.71/1.11 , X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ) ) ), =( Y, Z ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ) ) ), =( Y, Z ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.71/1.11 ), =( Z, Y ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.71/1.11 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.71/1.11 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 0.71/1.11 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.11 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.71/1.11 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.71/1.11 [ =( 'c_COMBI'( X, Y ), X ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.71/1.11 , T, X ) ) ), =( Z, T ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.71/1.11 , T, X ) ) ), =( Y, Z ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.71/1.11 X ), X ), Y ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.71/1.11 , X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.71/1.11 , X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.71/1.11 Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.71/1.11 , U, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.71/1.11 , Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.71/1.11 , T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.71/1.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ), X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.71/1.11 , 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.71/1.11 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.71/1.11 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.71/1.11 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.71/1.11 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.71/1.11 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.71/1.11 ), Y ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.71/1.11 , Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.11 ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.11 ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.11 ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.11 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.71/1.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.71/1.11 , X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.71/1.11 , X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.71/1.11 , X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.71/1.11 , X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.71/1.11 , X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.71/1.11 , X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.71/1.11 'c_lessequals'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.71/1.11 'c_lessequals'( Y, Z, X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.71/1.11 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.71/1.11 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.11 T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.71/1.11 T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.11 T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.71/1.11 T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.71/1.11 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.71/1.11 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.71/1.11 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.71/1.11 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.71/1.11 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.71/1.11 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.71/1.11 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.71/1.11 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.71/1.11 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.71/1.11 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.71/1.11 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.71/1.11 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.71/1.11 ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.71/1.11 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 0.71/1.11 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.71/1.11 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.71/1.11 X ), X ), Y ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.71/1.11 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.71/1.11 X ), X ), X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.71/1.11 Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.11 Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.71/1.11 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.71/1.11 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.71/1.11 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.71/1.11 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.71/1.11 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.71/1.11 X ) ) ), =( Z, T ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.71/1.11 X ) ) ), =( Z, T ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.71/1.11 X ) ) ), =( Y, T ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.71/1.11 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.71/1.11 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.71/1.11 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.71/1.11 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.71/1.11 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.71/1.11 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.71/1.11 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.71/1.11 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.71/1.11 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.71/1.11 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.71/1.11 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.71/1.11 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.71/1.11 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 0.71/1.11 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 0.71/1.11 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.71/1.11 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.11 , Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.71/1.11 , X ) ) ],
% 0.71/1.11 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.11 , Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.71/1.11 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.71/1.11 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.71/1.11 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Z, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Z, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.11 Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.71/1.11 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.71/1.11 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.11 , X ), X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.71/1.11 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.71/1.11 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.11 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.11 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.11 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.11 X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 T, Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_lessequals'( Z, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.71/1.11 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 T, Z, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.11 Z, T, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.71/1.11 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.11 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.71/1.11 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.71/1.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.71/1.11 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.71/1.11 Y, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 T, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.71/1.11 Y, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.11 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.11 T, X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.71/1.11 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.71/1.11 X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.11 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.11 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.11 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.71/1.11 , X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.71/1.11 ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.71/1.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.71/1.11 , X ), Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.71/1.11 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.71/1.11 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.71/1.11 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.11 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.71/1.11 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.11 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.71/1.11 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.71/1.11 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.71/1.11 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.71/1.11 'c_lessequals'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.71/1.11 'c_lessequals'( Y, Z, X ) ],
% 0.71/1.11 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.71/1.11 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.71/1.11 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.71/1.11 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.11 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.71/1.11 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.71/1.11 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.11 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.71/1.11 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.71/1.11 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.71/1.11 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.71/1.11 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.71/1.11 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.71/1.11 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.71/1.11 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.71/1.11 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 0.71/1.11 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.71/1.11 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.71/1.11 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.71/1.11 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.71/1.11 ) ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( 'v_x____', 'v_Y____', 'tc_RealDef_Oreal' )
% 0.71/1.11 ],
% 0.71/1.11 [ hBOOL( hAPP( 'v_P', 'v_x____' ) ) ],
% 0.71/1.11 [ =( 'c_COMBI'( 'v_P', 't_a' ), 'v_P' ) ],
% 0.71/1.11 [ 'c_lessequals'( X, 'v_L____', 'tc_RealDef_Oreal' ), ~( hBOOL( hAPP(
% 0.71/1.11 'v_P', X ) ) ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____', 'tc_RealDef_Oreal' ), ~(
% 0.71/1.11 hBOOL( hAPP( 'v_P', X ) ) ) ],
% 0.71/1.11 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.71/1.11 'c_lessequals'( Z, Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.71/1.11 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.71/1.11 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.71/1.11 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.71/1.11 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.71/1.11 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.71/1.11 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.71/1.11 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.71/1.11 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____', 'tc_RealDef_Oreal' ), ~(
% 0.71/1.11 hBOOL( hAPP( 'v_P', X ) ) ) ],
% 0.71/1.11 [ hBOOL( hAPP( 'v_P', 'v_xa' ) ) ],
% 0.71/1.11 [ ~( 'c_lessequals'( 'v_xa', 'v_Y____', 'tc_RealDef_Oreal' ) ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.71/1.11 ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.71/1.11 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.71/1.11 ],
% 0.71/1.11 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.71/1.11 ,
% 0.71/1.11 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.11 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.13 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.71/1.13 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ]
% 0.71/1.13 ] .
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 percentage equality = 0.215637, percentage horn = 0.957317
% 0.71/1.13 This is a problem with some equality
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Options Used:
% 0.71/1.13
% 0.71/1.13 useres = 1
% 0.71/1.13 useparamod = 1
% 0.71/1.13 useeqrefl = 1
% 0.71/1.13 useeqfact = 1
% 0.71/1.13 usefactor = 1
% 0.71/1.13 usesimpsplitting = 0
% 0.71/1.13 usesimpdemod = 5
% 0.71/1.13 usesimpres = 3
% 0.71/1.13
% 0.71/1.13 resimpinuse = 1000
% 0.71/1.13 resimpclauses = 20000
% 0.71/1.13 substype = eqrewr
% 0.71/1.13 backwardsubs = 1
% 0.71/1.13 selectoldest = 5
% 0.71/1.13
% 0.71/1.13 litorderings [0] = split
% 0.71/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.13
% 0.71/1.13 termordering = kbo
% 0.71/1.13
% 0.71/1.13 litapriori = 0
% 0.71/1.13 termapriori = 1
% 0.71/1.13 litaposteriori = 0
% 0.71/1.13 termaposteriori = 0
% 0.71/1.13 demodaposteriori = 0
% 0.71/1.13 ordereqreflfact = 0
% 0.71/1.13
% 0.71/1.13 litselect = negord
% 0.71/1.13
% 0.71/1.13 maxweight = 15
% 0.71/1.13 maxdepth = 30000
% 0.71/1.13 maxlength = 115
% 0.71/1.13 maxnrvars = 195
% 0.71/1.13 excuselevel = 1
% 0.71/1.13 increasemaxweight = 1
% 0.71/1.13
% 0.71/1.13 maxselected = 10000000
% 0.71/1.13 maxnrclauses = 10000000
% 0.71/1.13
% 0.71/1.13 showgenerated = 0
% 0.71/1.13 showkept = 0
% 0.71/1.13 showselected = 0
% 0.71/1.13 showdeleted = 0
% 0.71/1.13 showresimp = 1
% 0.71/1.13 showstatus = 2000
% 0.71/1.13
% 0.71/1.13 prologoutput = 1
% 0.71/1.13 nrgoals = 5000000
% 0.71/1.13 totalproof = 1
% 0.71/1.13
% 0.71/1.13 Symbols occurring in the translation:
% 0.71/1.13
% 0.71/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.13 . [1, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.71/1.13 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 0.71/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 'class_RealVector_Oreal__normed__vector' [40, 1] (w:1, o:42, a:1, s:1
% 0.71/1.13 , b:0),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus' [42, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm' [43, 2] (w:1, o:104, a:1, s:1, b:0)
% 0.71/1.13 ,
% 0.71/1.13 'tc_RealDef_Oreal' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.71/1.13 'c_HOL_Oabs__class_Oabs' [46, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.71/1.13 'c_HOL_Ominus__class_Ominus' [48, 3] (w:1, o:109, a:1, s:1, b:0),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus' [50, 3] (w:1, o:111, a:1, s:1, b:0),
% 0.71/1.13 'c_lessequals' [51, 3] (w:1, o:112, a:1, s:1, b:0),
% 0.71/1.13 'c_HOL_Oord__class_Oless' [54, 3] (w:1, o:110, a:1, s:1, b:0),
% 0.71/1.13 'class_Orderings_Opreorder' [55, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.71/1.13 'class_Orderings_Oorder' [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.71/1.13 'class_Lattices_Oupper__semilattice' [58, 1] (w:1, o:45, a:1, s:1, b:
% 0.71/1.13 0),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup' [59, 3] (w:1, o:113, a:1
% 0.71/1.13 , s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Olordered__ab__group__add' [60, 1] (w:1, o:46, a:
% 0.71/1.13 1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Olordered__ab__group__add__join' [62, 1] (w:1, o:
% 0.71/1.13 47, a:1, s:1, b:0),
% 0.71/1.13 'class_Lattices_Odistrib__lattice' [63, 1] (w:1, o:48, a:1, s:1, b:0)
% 0.71/1.13 ,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf' [64, 3] (w:1, o:114, a:1
% 0.71/1.13 , s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Ogroup__add' [65, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.13
% 0.71/1.13 'class_Orderings_Olinorder' [66, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.71/1.13 'c_Orderings_Oord__class_Omin' [67, 3] (w:1, o:115, a:1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__group__add__abs' [68, 1] (w:1, o:
% 0.71/1.13 51, a:1, s:1, b:0),
% 0.71/1.13 'c_Orderings_Oord__class_Omax' [69, 3] (w:1, o:116, a:1, s:1, b:0),
% 0.71/1.13 'class_Lattices_Obounded__lattice' [70, 1] (w:1, o:52, a:1, s:1, b:0)
% 0.71/1.13 ,
% 0.71/1.13 'c_Orderings_Obot__class_Obot' [71, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.71/1.13 'class_Ring__and__Field_Oordered__idom' [72, 1] (w:1, o:55, a:1, s:1
% 0.71/1.13 , b:0),
% 0.71/1.13 'class_Lattices_Olattice' [73, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.71/1.13 'class_Lattices_Olower__semilattice' [74, 1] (w:1, o:57, a:1, s:1, b:
% 0.71/1.13 0),
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__group__add' [75, 1] (w:1, o:58, a:
% 0.71/1.13 1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Olordered__ab__group__add__abs' [76, 1] (w:1, o:
% 0.71/1.13 59, a:1, s:1, b:0),
% 0.71/1.13 'c_Orderings_Otop__class_Otop' [77, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.71/1.13 'class_Lattices_Oboolean__algebra' [78, 1] (w:1, o:61, a:1, s:1, b:0)
% 0.71/1.13 ,
% 0.71/1.13 'class_OrderedGroup_Ocomm__monoid__add' [80, 1] (w:1, o:62, a:1, s:1
% 0.71/1.13 , b:0),
% 0.71/1.13 'class_Ring__and__Field_Ocomm__semiring__1' [81, 1] (w:1, o:63, a:1
% 0.71/1.13 , s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Oab__group__add' [82, 1] (w:1, o:64, a:1, s:1, b:
% 0.71/1.13 0),
% 0.71/1.13 'class_OrderedGroup_Oab__semigroup__add' [83, 1] (w:1, o:65, a:1, s:1
% 0.71/1.13 , b:0),
% 0.71/1.13 'c_COMBI' [85, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.71/1.13 'c_NthRoot_Osqrt' [91, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [92, 1]
% 0.71/1.13 (w:1, o:66, a:1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add' [93, 1] (w:1, o:67
% 0.71/1.13 , a:1, s:1, b:0),
% 0.71/1.13 'c_Transcendental_Oexp' [94, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [95, 1]
% 0.71/1.13 (w:1, o:68, a:1, s:1, b:0),
% 0.71/1.13 'class_Int_Onumber__ring' [96, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.71/1.13 'class_Ring__and__Field_Oidom' [97, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Ocancel__ab__semigroup__add' [98, 1] (w:1, o:71
% 0.71/1.13 , a:1, s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Ocancel__semigroup__add' [99, 1] (w:1, o:72, a:1
% 0.71/1.13 , s:1, b:0),
% 0.71/1.13 'class_OrderedGroup_Olordered__ab__group__add__meet' [100, 1] (w:1
% 0.71/1.13 , o:73, a:1, s:1, b:0),
% 0.71/1.13 'c_Transcendental_Oarctan' [102, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.71/1.13 'class_Orderings_Otop' [103, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.71/1.13 'class_Orderings_Obot' [104, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.71/1.13 'v_x____' [105, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.13 'v_Y____' [106, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.13 'v_P' [107, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.71/1.13 hAPP [108, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.71/1.13 hBOOL [109, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.71/1.13 't_a' [110, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.71/1.13 'v_L____' [111, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.71/1.13 'v_xa' [116, 0] (w:1, o:36, a:1, s:1, b:0).
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Starting Search:
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 Bliksems!, er is een bewijs:
% 0.71/1.13 % SZS status Unsatisfiable
% 0.71/1.13 % SZS output start Refutation
% 0.71/1.13
% 0.71/1.13 clause( 269, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 281, [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____', 'tc_RealDef_Oreal'
% 0.71/1.13 ), ~( hBOOL( hAPP( 'v_P', X ) ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 292, [ hBOOL( hAPP( 'v_P', 'v_xa' ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 293, [ ~( 'c_lessequals'( 'v_xa', 'v_Y____', 'tc_RealDef_Oreal' ) )
% 0.71/1.13 ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 366, [ ~( 'c_HOL_Oord__class_Oless'( 'v_xa', 'v_Y____',
% 0.71/1.13 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 .
% 0.71/1.13 clause( 808, [] )
% 0.71/1.13 .
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 % SZS output end Refutation
% 0.71/1.13 found a proof!
% 0.71/1.13
% 0.71/1.13 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.13
% 0.71/1.13 initialclauses(
% 0.71/1.13 [ clause( 810, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.71/1.13 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 0.71/1.13 , clause( 811, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.71/1.13 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 0.71/1.13 , clause( 812, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.71/1.13 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.13 Z, Y, X ), X ) ) ] )
% 0.71/1.13 , clause( 813, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 814, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.71/1.13 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.71/1.13 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 815, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 816, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.71/1.13 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 817, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.71/1.13 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.71/1.13 , clause( 818, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 0.71/1.13 , clause( 819, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.71/1.13 =( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 820, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.71/1.13 =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 821, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X
% 0.71/1.13 ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 822, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X
% 0.71/1.13 ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 823, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 824, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 825, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.71/1.13 ), Y ) ] )
% 0.71/1.13 , clause( 826, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.71/1.13 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 827, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 0.71/1.13 , clause( 828, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ),
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 829, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T,
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 830, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.71/1.13 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.71/1.13 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 831, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.71/1.13 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.71/1.13 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 832, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.71/1.13 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 833, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.71/1.13 , clause( 834, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 835, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.13 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 836, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 837, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 838, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 839, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 840, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 0.71/1.13 , clause( 841, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 0.71/1.13 , clause( 842, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.71/1.13 , X ), X ) ) ] )
% 0.71/1.13 , clause( 843, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 844, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.71/1.13 , clause( 845, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ), Y, X ), Y ) ] )
% 0.71/1.13 , clause( 846, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ), X ), Y ) ] )
% 0.71/1.13 , clause( 847, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 0.71/1.13 , clause( 848, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ] )
% 0.71/1.13 , clause( 849, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 850, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ) ) ), =( Y, Z ) ] )
% 0.71/1.13 , clause( 851, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ) ) ), =( Y, Z ) ] )
% 0.71/1.13 , clause( 852, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.71/1.13 ), =( Z, Y ) ] )
% 0.71/1.13 , clause( 853, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.71/1.13 , clause( 854, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 855, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 856, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.71/1.13 ), =( Z, Y ) ] )
% 0.71/1.13 , clause( 857, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ] )
% 0.71/1.13 , clause( 858, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 0.71/1.13 , clause( 859, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ),
% 0.71/1.13 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Z, U, X
% 0.71/1.13 ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 860, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 861, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 862, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 863, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 864, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 865, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 866, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 867, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 868, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 869, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.71/1.13 X ) ] )
% 0.71/1.13 , clause( 870, [ =( 'c_COMBI'( X, Y ), X ) ] )
% 0.71/1.13 , clause( 871, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.71/1.13 , T, X ) ) ), =( Z, T ) ] )
% 0.71/1.13 , clause( 872, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.71/1.13 , T, X ) ) ), =( Y, Z ) ] )
% 0.71/1.13 , clause( 873, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.71/1.13 X ), X ), Y ) ] )
% 0.71/1.13 , clause( 874, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 875, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 876, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 877, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 878, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 879, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 880, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 881, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 882, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 883, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 884, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 885, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 886, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 887, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.71/1.13 Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 888, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.71/1.13 , U, X ), X ) ) ] )
% 0.71/1.13 , clause( 889, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.71/1.13 , clause( 890, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 891, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 892, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 893, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.71/1.13 , clause( 894, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 895, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.71/1.13 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 896, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.71/1.13 , clause( 897, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.71/1.13 , clause( 898, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.71/1.13 =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ), X ), X ) ) ] )
% 0.71/1.13 , clause( 899, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 900, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 901, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.71/1.13 =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ), X ) ) ] )
% 0.71/1.13 , clause( 902, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ), X ) ) ] )
% 0.71/1.13 , clause( 903, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 0.71/1.13 , clause( 904, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 905, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 906, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.71/1.13 , 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 907, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.71/1.13 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 908, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.71/1.13 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 909, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.71/1.13 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 910, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.71/1.13 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 911, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.71/1.13 ), Y ) ] )
% 0.71/1.13 , clause( 912, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.71/1.13 , Y, X ) ) ] )
% 0.71/1.13 , clause( 913, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.13 ), Y ) ] )
% 0.71/1.13 , clause( 914, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 915, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 916, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.13 ), Y ) ] )
% 0.71/1.13 , clause( 917, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.71/1.13 ), Y ) ] )
% 0.71/1.13 , clause( 918, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.13 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 919, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.71/1.13 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 920, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 921, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.13 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.71/1.13 , X ) ) ] )
% 0.71/1.13 , clause( 922, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.13 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.71/1.13 , X ) ) ] )
% 0.71/1.13 , clause( 923, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.71/1.13 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.71/1.13 , X ) ) ] )
% 0.71/1.13 , clause( 924, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.71/1.13 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.71/1.13 , X ) ) ] )
% 0.71/1.13 , clause( 925, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.71/1.13 , clause( 926, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.71/1.13 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 0.71/1.13 , clause( 927, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.71/1.13 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 0.71/1.13 , clause( 928, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 929, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.71/1.13 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 930, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.71/1.13 'c_lessequals'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 931, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ] )
% 0.71/1.13 , clause( 932, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 933, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 934, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z,
% 0.71/1.13 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 935, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 936, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 937, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 938, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 939, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 940, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 941, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 942, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 943, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 944, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 945, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 0.71/1.13 , clause( 946, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ),
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 947, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ),
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 948, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.13 T, X ) ) ] )
% 0.71/1.13 , clause( 949, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.71/1.13 T, X ) ) ] )
% 0.71/1.13 , clause( 950, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.13 T, X ) ) ] )
% 0.71/1.13 , clause( 951, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.71/1.13 T, X ) ) ] )
% 0.71/1.13 , clause( 952, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ),
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 953, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ),
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 954, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 955, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X )
% 0.71/1.13 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.71/1.13 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 956, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 957, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 958, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 959, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 960, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 961, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.71/1.13 , clause( 962, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.71/1.13 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 963, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.71/1.13 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 964, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 0.71/1.13 , clause( 965, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 966, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 967, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.71/1.13 , 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.71/1.13 , clause( 968, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ),
% 0.71/1.13 =( X, Y ) ] )
% 0.71/1.13 , clause( 969, [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.71/1.13 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ] )
% 0.71/1.13 , clause( 970, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 0.71/1.13 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 0.71/1.13 , clause( 971, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.71/1.13 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 0.71/1.13 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 972, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.71/1.13 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.71/1.13 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 973, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.71/1.13 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.71/1.13 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 974, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 975, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 976, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 977, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.71/1.13 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 0.71/1.13 ), X ) ) ] )
% 0.71/1.13 , clause( 978, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.71/1.13 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 979, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T
% 0.71/1.13 , X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.71/1.13 X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 980, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.71/1.13 X ), X ), Y ) ] )
% 0.71/1.13 , clause( 981, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ), X ) ) ] )
% 0.71/1.13 , clause( 982, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.71/1.13 =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ), X ) ) ] )
% 0.71/1.13 , clause( 983, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.71/1.13 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.71/1.13 X ), X ), X ) ] )
% 0.71/1.13 , clause( 984, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.71/1.13 Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 985, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.71/1.13 X ), X ) ) ] )
% 0.71/1.13 , clause( 986, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 987, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 988, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 989, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 990, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T
% 0.71/1.13 , X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.71/1.13 X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 991, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.71/1.13 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 992, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.71/1.13 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 993, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.71/1.13 , X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 0.71/1.13 , clause( 994, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.71/1.13 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.71/1.13 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 0.71/1.13 , clause( 995, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) )
% 0.71/1.13 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, T, X ) ) ), =( Z, T ) ] )
% 0.71/1.13 , clause( 996, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.71/1.13 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, T, X ) ) ), =( Z, T ) ] )
% 0.71/1.13 , clause( 997, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.71/1.13 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 T, Z, X ) ) ), =( Y, T ) ] )
% 0.71/1.13 , clause( 998, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.71/1.13 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.71/1.13 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.71/1.13 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 999, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.71/1.13 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 1000, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.71/1.13 , clause( 1001, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.71/1.13 , clause( 1002, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 0.71/1.13 , clause( 1003, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 0.71/1.13 , clause( 1004, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.71/1.13 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1005, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.71/1.13 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1006, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.71/1.13 , =( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1007, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.71/1.13 , =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1008, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.71/1.13 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1009, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.71/1.13 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1010, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.71/1.13 X ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.13 Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1011, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 0.71/1.13 , clause( 1012, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 0.71/1.13 , clause( 1013, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X
% 0.71/1.13 ), 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1014, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.71/1.13 X ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'(
% 0.71/1.13 Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1015, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.71/1.13 , clause( 1016, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.71/1.13 , clause( 1017, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 0.71/1.13 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 0.71/1.13 , clause( 1018, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.71/1.13 , clause( 1019, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 1020, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.71/1.13 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.71/1.13 Y, X ) ) ] )
% 0.71/1.13 , clause( 1021, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.71/1.13 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.71/1.13 Y, X ) ) ] )
% 0.71/1.13 , clause( 1022, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 1023, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 0.71/1.13 , clause( 1024, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Y, T, X
% 0.71/1.13 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( T, Z
% 0.71/1.13 , X ), X ) ) ] )
% 0.71/1.13 , clause( 1025, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 1026, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.71/1.13 ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( T, Y, X
% 0.71/1.13 ), Z, X ) ) ] )
% 0.71/1.13 , clause( 1027, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 0.71/1.13 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 0.71/1.13 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1028, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.71/1.13 , clause( 1029, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.71/1.13 , clause( 1030, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.71/1.13 , 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.71/1.13 , clause( 1031, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.71/1.13 , clause( 1032, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.71/1.13 , clause( 1033, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1034, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.71/1.13 , clause( 1035, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 0.71/1.13 , clause( 1036, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1037, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 0.71/1.13 , clause( 1038, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 0.71/1.13 , clause( 1039, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.71/1.13 X ) ] )
% 0.71/1.13 , clause( 1040, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1041, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1042, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 1043, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.71/1.13 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 1044, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 0.71/1.13 , clause( 1045, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.71/1.13 X ), X ) ) ] )
% 0.71/1.13 , clause( 1046, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 Z, T, X ) ) ] )
% 0.71/1.13 , clause( 1047, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 Z, T, X ) ) ] )
% 0.71/1.13 , clause( 1048, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.71/1.13 X ), X ) ) ] )
% 0.71/1.13 , clause( 1049, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1050, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.71/1.13 Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1051, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.71/1.13 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 0.71/1.13 , clause( 1052, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.71/1.13 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.71/1.13 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ] )
% 0.71/1.13 , clause( 1053, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.71/1.13 , =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.71/1.13 , X ), X ), X ) ) ] )
% 0.71/1.13 , clause( 1054, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.71/1.13 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.71/1.13 , clause( 1055, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.71/1.13 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 1056, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.71/1.13 Y, X ) ) ] )
% 0.71/1.13 , clause( 1057, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.71/1.13 Y, X ) ) ] )
% 0.71/1.13 , clause( 1058, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.71/1.13 Y, X ) ) ] )
% 0.71/1.13 , clause( 1059, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.71/1.13 Y, X ) ) ] )
% 0.71/1.13 , clause( 1060, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1061, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.13 X ) ) ] )
% 0.71/1.13 , clause( 1062, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1063, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1064, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 0.71/1.13 ), X ) ] )
% 0.71/1.13 , clause( 1065, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 0.71/1.13 ), X ) ] )
% 0.71/1.13 , clause( 1066, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.71/1.13 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1067, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 0.71/1.13 , clause( 1068, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 0.71/1.13 , clause( 1069, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 1070, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1071, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 0.71/1.13 , clause( 1072, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1073, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 1074, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1075, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 0.71/1.13 , X ) ) ] )
% 0.71/1.13 , clause( 1076, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 0.71/1.13 Z, Y ) ] )
% 0.71/1.13 , clause( 1077, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1078, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.71/1.13 , clause( 1079, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 0.71/1.13 Y, Z ) ] )
% 0.71/1.13 , clause( 1080, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.71/1.13 , X ) ) ] )
% 0.71/1.13 , clause( 1081, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1082, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.71/1.13 , X ) ) ] )
% 0.71/1.13 , clause( 1083, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 0.71/1.13 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 1084, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 0.71/1.13 ~( 'c_lessequals'( U, T, X ) ) ] )
% 0.71/1.13 , clause( 1085, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 1086, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 1087, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.71/1.13 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1088, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.71/1.13 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1089, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 1090, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 1091, [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.71/1.13 'c_Orderings_Otop__class_Otop'( X ), X ) ] )
% 0.71/1.13 , clause( 1092, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.71/1.13 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1093, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.71/1.13 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1094, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.71/1.13 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1095, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 Z, X ) ] )
% 0.71/1.13 , clause( 1096, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.71/1.13 Y, X ) ] )
% 0.71/1.13 , clause( 1097, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 0.71/1.13 , clause( 1098, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 0.71/1.13 , clause( 1099, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1100, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.71/1.13 , clause( 1101, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1102, [ ~(
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.71/1.13 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 0.71/1.13 , clause( 1103, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1104, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.71/1.13 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.71/1.13 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1105, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 0.71/1.13 , clause( 1106, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.13 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1107, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.13 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1108, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.71/1.13 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.71/1.13 , clause( 1109, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ] )
% 0.71/1.13 , clause( 1110, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ] )
% 0.71/1.13 , clause( 1111, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.71/1.13 , X ), X ) ) ] )
% 0.71/1.13 , clause( 1112, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.71/1.13 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1113, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 0.71/1.13 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.71/1.13 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 0.71/1.13 , clause( 1114, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T
% 0.71/1.13 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1115, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T
% 0.71/1.13 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1116, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T
% 0.71/1.13 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1117, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ] )
% 0.71/1.13 , clause( 1118, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.71/1.13 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ] )
% 0.71/1.13 , clause( 1119, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 0.71/1.13 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 1120, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.71/1.13 , clause( 1121, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.71/1.13 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.71/1.13 , clause( 1122, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 0.71/1.13 , clause( 1123, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1124, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.71/1.13 , clause( 1125, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.71/1.13 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.71/1.13 , clause( 1126, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.71/1.13 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 1127, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.71/1.13 'c_lessequals'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 1128, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ] )
% 0.71/1.13 , clause( 1129, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.71/1.13 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1130, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.71/1.13 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 0.71/1.13 , clause( 1131, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.71/1.13 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 0.71/1.13 , clause( 1132, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.71/1.13 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.71/1.13 , clause( 1133, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.71/1.13 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.71/1.13 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.71/1.13 , clause( 1134, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1135, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.71/1.13 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1136, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.71/1.13 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' )
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1137, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 0.71/1.13 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1138, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.71/1.13 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Z,
% 0.71/1.13 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 0.71/1.13 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1139, [ 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 0.71/1.13 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.71/1.13 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1140, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.71/1.13 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.71/1.13 ] )
% 0.71/1.13 , clause( 1141, [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.71/1.13 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.71/1.13 X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1142, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.71/1.13 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1143, [ 'c_HOL_Oord__class_Oless'( 'v_x____', 'v_Y____',
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1144, [ hBOOL( hAPP( 'v_P', 'v_x____' ) ) ] )
% 0.71/1.13 , clause( 1145, [ =( 'c_COMBI'( 'v_P', 't_a' ), 'v_P' ) ] )
% 0.71/1.13 , clause( 1146, [ 'c_lessequals'( X, 'v_L____', 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 hBOOL( hAPP( 'v_P', X ) ) ) ] )
% 0.71/1.13 , clause( 1147, [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____',
% 0.71/1.13 'tc_RealDef_Oreal' ), ~( hBOOL( hAPP( 'v_P', X ) ) ) ] )
% 0.71/1.13 , clause( 1148, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 0.71/1.13 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1149, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.71/1.13 , clause( 1150, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 0.71/1.13 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1151, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.71/1.13 ] )
% 0.71/1.13 , clause( 1152, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1153, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 0.71/1.13 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1154, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 0.71/1.13 , X ) ] )
% 0.71/1.13 , clause( 1155, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.71/1.13 , Y, X ) ] )
% 0.71/1.13 , clause( 1156, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.71/1.13 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.71/1.13 , clause( 1157, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.71/1.13 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1158, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.71/1.13 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.71/1.13 , clause( 1159, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' )
% 0.71/1.13 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1160, [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____',
% 0.71/1.13 'tc_RealDef_Oreal' ), ~( hBOOL( hAPP( 'v_P', X ) ) ) ] )
% 0.71/1.13 , clause( 1161, [ hBOOL( hAPP( 'v_P', 'v_xa' ) ) ] )
% 0.71/1.13 , clause( 1162, [ ~( 'c_lessequals'( 'v_xa', 'v_Y____', 'tc_RealDef_Oreal'
% 0.71/1.13 ) ) ] )
% 0.71/1.13 , clause( 1163, [
% 0.71/1.13 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1164, [
% 0.71/1.13 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1165, [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1166, [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1167, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1168, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1169, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1170, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1171, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1172, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1173, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1174, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1175, [ 'class_RealVector_Oreal__normed__vector'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1176, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1177, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1178, [ 'class_Ring__and__Field_Oordered__idom'(
% 0.71/1.13 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1179, [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal'
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1180, [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal'
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1181, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 0.71/1.13 ) ] )
% 0.71/1.13 , clause( 1182, [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' )
% 0.71/1.13 ] )
% 0.71/1.13 , clause( 1183, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.71/1.13 )
% 0.71/1.13 , clause( 1184, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1185, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1186, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1187, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1188, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 , clause( 1189, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 0.71/1.13 ] ).
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 subsumption(
% 0.71/1.13 clause( 269, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , clause( 1134, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.71/1.13 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.71/1.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.13 ), ==>( 1, 1 )] ) ).
% 0.71/1.13
% 0.71/1.13
% 0.71/1.13 subsumption(
% 0.71/1.13 clause( 281, [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____', 'tc_RealDef_Oreal'
% 0.76/1.14 ), ~( hBOOL( hAPP( 'v_P', X ) ) ) ] )
% 0.76/1.14 , clause( 1147, [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____',
% 0.76/1.14 'tc_RealDef_Oreal' ), ~( hBOOL( hAPP( 'v_P', X ) ) ) ] )
% 0.76/1.14 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.76/1.14 1 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 292, [ hBOOL( hAPP( 'v_P', 'v_xa' ) ) ] )
% 0.76/1.14 , clause( 1161, [ hBOOL( hAPP( 'v_P', 'v_xa' ) ) ] )
% 0.76/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 293, [ ~( 'c_lessequals'( 'v_xa', 'v_Y____', 'tc_RealDef_Oreal' ) )
% 0.76/1.14 ] )
% 0.76/1.14 , clause( 1162, [ ~( 'c_lessequals'( 'v_xa', 'v_Y____', 'tc_RealDef_Oreal'
% 0.76/1.14 ) ) ] )
% 0.76/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 resolution(
% 0.76/1.14 clause( 1978, [ ~( 'c_HOL_Oord__class_Oless'( 'v_xa', 'v_Y____',
% 0.76/1.14 'tc_RealDef_Oreal' ) ) ] )
% 0.76/1.14 , clause( 293, [ ~( 'c_lessequals'( 'v_xa', 'v_Y____', 'tc_RealDef_Oreal' )
% 0.76/1.14 ) ] )
% 0.76/1.14 , 0, clause( 269, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.76/1.14 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' ), :=( Y,
% 0.76/1.14 'v_Y____' )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 366, [ ~( 'c_HOL_Oord__class_Oless'( 'v_xa', 'v_Y____',
% 0.76/1.14 'tc_RealDef_Oreal' ) ) ] )
% 0.76/1.14 , clause( 1978, [ ~( 'c_HOL_Oord__class_Oless'( 'v_xa', 'v_Y____',
% 0.76/1.14 'tc_RealDef_Oreal' ) ) ] )
% 0.76/1.14 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 resolution(
% 0.76/1.14 clause( 1979, [ ~( hBOOL( hAPP( 'v_P', 'v_xa' ) ) ) ] )
% 0.76/1.14 , clause( 366, [ ~( 'c_HOL_Oord__class_Oless'( 'v_xa', 'v_Y____',
% 0.76/1.14 'tc_RealDef_Oreal' ) ) ] )
% 0.76/1.14 , 0, clause( 281, [ 'c_HOL_Oord__class_Oless'( X, 'v_Y____',
% 0.76/1.14 'tc_RealDef_Oreal' ), ~( hBOOL( hAPP( 'v_P', X ) ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_xa' )] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 resolution(
% 0.76/1.14 clause( 1980, [] )
% 0.76/1.14 , clause( 1979, [ ~( hBOOL( hAPP( 'v_P', 'v_xa' ) ) ) ] )
% 0.76/1.14 , 0, clause( 292, [ hBOOL( hAPP( 'v_P', 'v_xa' ) ) ] )
% 0.76/1.14 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 subsumption(
% 0.76/1.14 clause( 808, [] )
% 0.76/1.14 , clause( 1980, [] )
% 0.76/1.14 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 end.
% 0.76/1.14
% 0.76/1.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.14
% 0.76/1.14 Memory use:
% 0.76/1.14
% 0.76/1.14 space for terms: 26514
% 0.76/1.14 space for clauses: 60844
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 clauses generated: 2079
% 0.76/1.14 clauses kept: 809
% 0.76/1.14 clauses selected: 124
% 0.76/1.14 clauses deleted: 1
% 0.76/1.14 clauses inuse deleted: 0
% 0.76/1.14
% 0.76/1.14 subsentry: 8877
% 0.76/1.14 literals s-matched: 5478
% 0.76/1.14 literals matched: 5338
% 0.76/1.14 full subsumption: 1311
% 0.76/1.14
% 0.76/1.14 checksum: 2050317978
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 Bliksem ended
%------------------------------------------------------------------------------