TSTP Solution File: SWV877-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV877-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:59 EDT 2022
% Result : Timeout 300.06s 300.60s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV877-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 17:37:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.93/1.31 *** allocated 10000 integers for termspace/termends
% 0.93/1.31 *** allocated 10000 integers for clauses
% 0.93/1.31 *** allocated 10000 integers for justifications
% 0.93/1.31 *** allocated 15000 integers for termspace/termends
% 0.93/1.31 *** allocated 22500 integers for termspace/termends
% 0.93/1.31 Bliksem 1.12
% 0.93/1.31
% 0.93/1.31
% 0.93/1.31 Automatic Strategy Selection
% 0.93/1.31
% 0.93/1.31 Clauses:
% 0.93/1.31 [
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.93/1.31 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.93/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.31 ), 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.31 ), 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.93/1.31 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Y ), Z
% 0.93/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_in'( T, Y, X ) )
% 0.93/1.31 , =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.31 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_in'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP(
% 0.93/1.31 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), T ), X
% 0.93/1.31 ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.93/1.31 , ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.31 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'(
% 0.93/1.31 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.31 Z, T, X ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.31 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.31 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.31 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.93/1.31 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.93/1.31 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.93/1.31 ],
% 0.93/1.31 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.31 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), Y ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.31 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), T ) ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.31 'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Finite__Set_Ofold1'(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.31 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.31 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.31 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.31 hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), T ), Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), T ), Y ), Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), Y ) ) ],
% 0.93/1.31 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.93/1.31 'tc_nat' ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.31 ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.31 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.93/1.31 ), X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.31 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.31 Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.31 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.93/1.31 [ 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.93/1.31 ), Z ), 'c_in'( X, Y, Z ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.93/1.31 hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.93/1.31 T, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Orderings_Oord__class_Omin'(
% 0.93/1.31 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.31 Z, T, X ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.93/1.31 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.93/1.31 ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.31 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 0.93/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.31 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.93/1.31 ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.31 ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.93/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.31 , 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ) ), Y ) )
% 0.93/1.31 ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.31 'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Finite__Set_Ofold1'(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), X ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.31 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.31 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.93/1.31 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.93/1.31 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.93/1.31 ), =( Y, W ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Z ), X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.93/1.31 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.93/1.31 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X, hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.31 , T ), Y ), Z ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.31 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.93/1.31 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 Z, Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.31 , X ), X ) ) ],
% 0.93/1.31 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.31 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.93/1.31 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.93/1.31 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.93/1.31 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.93/1.31 ) ],
% 0.93/1.31 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.93/1.31 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.93/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.31 , X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.31 , Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.31 , Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Y ), Y ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.31 , X ) ) ), =( Y, Z ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.31 , X ) ) ), =( Y, Z ) ],
% 0.93/1.31 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.93/1.31 Z ) ],
% 0.93/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.31 ), =( Z, Y ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.93/1.31 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.93/1.31 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.93/1.31 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.93/1.31 ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Y ), Y ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.31 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.93/1.31 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.93/1.31 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.93/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.93/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.93/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.93/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.31 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ) ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.93/1.31 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.93/1.31 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.93/1.31 ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.31 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.93/1.31 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.93/1.31 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.93/1.31 [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ) ],
% 0.93/1.31 [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.93/1.31 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.93/1.31 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.93/1.31 'tc_nat' ) ) ],
% 0.93/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.93/1.31 , Y ) ],
% 0.93/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.93/1.31 , Y ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), X ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y ),
% 0.93/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_Orderings_Otop__class_Otop'(
% 0.93/1.31 X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.93/1.31 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.93/1.31 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), T ), Z ), X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.93/1.31 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 0.93/1.31 hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.93/1.31 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.93/1.31 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.93/1.31 , 'tc_nat' ) ) ],
% 0.93/1.31 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.93/1.31 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.93/1.31 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.93/1.31 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.93/1.31 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.93/1.31 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.31 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Z, X ) ), X ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Z ), Y ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Z, X ) ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Z, X ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), Y ) ) ],
% 0.93/1.31 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.31 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), X ) ],
% 0.93/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Z, X ) ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ), hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Z, X ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), Y ) ],
% 0.93/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.93/1.31 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.31 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.31 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.93/1.31 ],
% 0.93/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.31 , U ), Y ), Z, T ) ) ],
% 0.93/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.31 , Y ), U ), Z, T ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ) ],
% 0.93/1.31 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.93/1.31 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.31 ), Y ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.31 ), Y ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.31 ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.31 ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.93/1.31 ), Y ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.31 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.31 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.31 , X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.93/1.31 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.93/1.31 , X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.31 , X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.93/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.93/1.31 , X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.93/1.31 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.93/1.31 , X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.93/1.31 , X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.93/1.31 ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.93/1.31 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.93/1.31 ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.93/1.31 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.31 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.93/1.31 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.31 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.93/1.31 ,
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.93/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.93/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.93/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T )
% 0.93/1.31 , Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y )
% 0.93/1.31 , Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.93/1.31 , Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.93/1.31 , T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.93/1.31 , Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.93/1.31 , T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), T )
% 0.93/1.31 , Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_lessequals'( hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), T ), Y )
% 0.93/1.31 , Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.31 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), T ), Y ), Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 0.93/1.31 T ), X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.31 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 0.93/1.31 Z ), X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.93/1.31 Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.93/1.31 Z, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.93/1.31 Y, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.93/1.31 Z, T, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.93/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.31 Z, X ) ), X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.31 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.31 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.93/1.31 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Z ), T ) ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omin'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.31 'c_Orderings_Oord__class_Omax'( X ), Y ), T ) ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.93/1.31 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.93/1.31 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.93/1.31 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.31 ) ],
% 0.93/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.93/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.93/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.93/1.31 ],
% 0.93/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.31 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.93/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ), ~( =( hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =(
% 0.93/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.93/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.31 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Z ),
% 0.93/1.31 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.93/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.31 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.93/1.31 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.31 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X
% 0.93/1.31 , Z, T, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( T,
% 0.93/1.31 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.93/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.31 'c_Finite__Set_Olinorder__class_OMin'( X ), hAPP( hAPP(
% 0.93/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.31 , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), hAPP(
% 0.93/1.31 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ) ), hAPP(
% 0.93/1.31 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z,
% 0.93/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ), hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ) ), hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 , X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.32 , X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.32 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.93/1.32 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Y ), Z
% 0.93/1.32 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_in'( T, Y, X ) ), =( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.93/1.32 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.93/1.32 U, V0 ) ), 'c_in'( Z, T, U ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'(
% 0.93/1.32 T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.93/1.32 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), ~( 'c_in'( Y, Z, T ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.93/1.32 , Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Y ),
% 0.93/1.32 hAPP( 'c_Finite__Set_Ofold1'( 'c_Orderings_Oord__class_Omin'( X ), X ), Z
% 0.93/1.32 ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ), ~( 'c_lessequals'( Z, Y,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.93/1.32 'c_Set_Oimage'( X, W, T, U ) ), 'c_in'( Y, W, T ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.32 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.32 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.93/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ) ), Y ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Finite__Set_Ofold1'( X, Y ), 'c_Set_Oinsert'( Z,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Z ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ],
% 0.93/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.32 ~( 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat'
% 0.93/1.32 ), hAPP( X, Z ), 'tc_nat' ) ), ~( 'c_in'( Z, Y, T ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), hAPP( Y, U ) ), U ),
% 0.93/1.32 ~( 'c_in'( U, X, Z ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) ) ],
% 0.93/1.32 [ ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), =( hAPP( 'c_Fun_Othe__inv__into'(
% 0.93/1.32 Y, X, Z, T ), hAPP( X, U ) ), U ), ~( 'c_in'( U, Y, Z ) ) ],
% 0.93/1.32 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.93/1.32 'tc_nat' ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.93/1.32 'tc_nat' ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.93/1.32 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 0.93/1.32 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.93/1.32 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.93/1.32 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.32 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.93/1.32 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.93/1.32 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.32 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.93/1.32 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.32 , X, 'tc_nat' ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.93/1.32 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'(
% 0.93/1.32 Y, 'tc_bool' ) ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( X, Y ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'( Z ) ) ), =(
% 0.93/1.32 'c_Finite__Set_Ocard'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2'( X, Z, Y ), Y )
% 0.93/1.32 , Z ) ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'( Z ) ) ), =(
% 0.93/1.32 'c_Finite__Set_Ocard'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2'( X, Z, Y ), Y ),
% 0.93/1.32 Z ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 0.93/1.32 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.93/1.32 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Othe__inv__into'( X, Y, Z, T ),
% 0.93/1.32 'c_Set_Oimage'( Y, X, Z, T ), T, Z ), X ), ~( 'c_Fun_Oinj__on'( Y, X, Z,
% 0.93/1.32 T ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , X ), Y ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Fun_Othe__inv__into'( 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ), hAPP( Y, T ) ), T ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), X, Z ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ), X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.32 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Z ),
% 0.93/1.32 T ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.32 'c_lessequals'( Y, hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), T ),
% 0.93/1.32 Z ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.32 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), T ), Z ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Z ), Y ), X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.93/1.32 Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.93/1.32 Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 0.93/1.32 Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.93/1.32 ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.93/1.32 , X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.93/1.32 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.93/1.32 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Z ), T ), X ), ~( 'c_lessequals'( Y
% 0.93/1.32 , T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ), ~( 'c_lessequals'( Y
% 0.93/1.32 , Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Z ) ), 'c_lessequals'( Y,
% 0.93/1.32 Z, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omax'( X ), Y ), Z ), Y ), ~( 'c_lessequals'( Z
% 0.93/1.32 , Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ), ~( 'c_lessequals'( Y
% 0.93/1.32 , Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Y ) ), 'c_lessequals'( Y,
% 0.93/1.32 Z, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Orderings_Oord__class_Omin'( X ), Y ), Z ), Z ), ~( 'c_lessequals'( Z
% 0.93/1.32 , Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.32 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.93/1.32 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.93/1.32 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.93/1.32 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.32 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.93/1.32 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.93/1.32 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.93/1.32 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.93/1.32 X ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.93/1.32 X ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.93/1.32 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.93/1.32 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.32 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.93/1.32 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.93/1.32 , X, U, Y, W ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), Y ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ) ), Y ), Y ) ],
% 0.93/1.32 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.93/1.32 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Y ), T ), X ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Z ), T ), X ) ) ],
% 0.93/1.32 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.93/1.32 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.32 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.93/1.32 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.93/1.32 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.32 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.93/1.32 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.93/1.32 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.93/1.32 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.32 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.93/1.32 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.32 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.93/1.32 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.93/1.32 ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Y ),
% 0.93/1.32 'c_Finite__Set_Ocard'( Z, Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.32 X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.93/1.32 ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 0.93/1.32 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.93/1.32 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( T, U ) ), =( 'c_Finite__Set_Osetprod'( Y, T, U,
% 0.93/1.32 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 0.93/1.32 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( T, U ) ), =( 'c_Finite__Set_Osetprod'( Y, T, U,
% 0.93/1.32 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Osetsum'( X, Y, Z, 'tc_nat' ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.93/1.32 , Z ) ), =( hAPP( X, T ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.93/1.32 'c_in'( T, Y, Z ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.32 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.32 'c_in'( Y, X, T ), 'c_in'( Y, Z, T ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.93/1.32 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y
% 0.93/1.32 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.93/1.32 , 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), 'c_lessequals'( Y,
% 0.93/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.93/1.32 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ), ~( 'c_Fun_Oinj__on'( X, W,
% 0.93/1.32 T, U ) ) ],
% 0.93/1.32 [ =( hAPP( X, hAPP( 'c_Fun_Othe__inv__into'( Y, X, Z, T ), U ) ), U ),
% 0.93/1.32 ~( 'c_in'( U, 'c_Set_Oimage'( X, Y, Z, T ), T ) ), ~( 'c_Fun_Oinj__on'( X
% 0.93/1.32 , Y, Z, T ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ),
% 0.93/1.32 'tc_nat' ) ) ],
% 0.93/1.32 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.32 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), X ), 'tc_nat' ) ) ],
% 0.93/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ), T ), U, T ) ), 'c_Set_Ovimage'( X, Z, U, T )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 0.93/1.32 ) ), 'c_in'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 0.93/1.32 Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 0.93/1.32 ) ), 'c_in'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 0.93/1.32 Z, X ), Y, X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.93/1.32 , X ), Y ), Z, X ), ~( 'c_in'( Z, Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.93/1.32 , X ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.93/1.32 ), Z, T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' )
% 0.93/1.32 ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.32 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.32 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_Set_Ovimage'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), U, Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , 'c_Set_Ovimage'( X, Z, U, Y ) ), 'c_Set_Ovimage'( X, T, U, Y ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), U, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( X, U, Z, T ),
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , X ), T ), Y ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), X ), Y ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.93/1.32 'c_in'( X, T, Z ) ],
% 0.93/1.32 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.93/1.32 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.93/1.32 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.93/1.32 T ), U ) ) ],
% 0.93/1.32 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.93/1.32 T ), U ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.93/1.32 , Z, U ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.93/1.32 , Z, U ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.93/1.32 , Z, U ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ) ), 'c_in'( Y, T, X ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), T ) ), 'c_in'( Z, Y, X ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.93/1.32 'tc_nat' ) ],
% 0.93/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.93/1.32 , X, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( T,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 0.93/1.32 'c_in'( T, X, Z ) ), ~( 'c_in'( Y, X, Z ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 X, Z ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 0.93/1.32 'c_in'( Y, X, Z ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.93/1.32 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.93/1.32 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.93/1.32 Y, T ), X ) ), ~( 'c_in'( T, Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 0.93/1.32 ) ],
% 0.93/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.93/1.32 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( 'c_in'( T
% 0.93/1.32 , Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.93/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetprod'(
% 0.93/1.32 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ), U, X ), 'c_Finite__Set_Osetprod'( Y, Z, U, X ) ),
% 0.93/1.32 'c_in'( T, Z, U ), =( hAPP( Y, T ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.93/1.32 ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Set_Oinsert'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.93/1.32 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.93/1.32 X, T ), T ) ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.93/1.32 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.93/1.32 X, T ), T ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.93/1.32 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.93/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), U, X ) ) ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.93/1.32 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 0.93/1.32 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), U, X ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.93/1.32 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( W,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_in'(
% 0.93/1.32 Y, W, T ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ) ), 'c_in'( Y, Z, T ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.93/1.32 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.93/1.32 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), 'c_in'( T, Z, U ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_in'( Z, T, X ) ), ~( 'c_lessequals'( Y, hAPP(
% 0.93/1.32 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.93/1.32 , X ), T ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 0.93/1.32 , hAPP( hAPP( 'c_Orderings_Oord__class_Omax'( X ), Y ), hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ) ) ), =( Z,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 0.93/1.32 , hAPP( hAPP( 'c_Orderings_Oord__class_Omin'( X ), Y ), hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ) ) ), =( Z,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Map_Odom'( 'c_Com_Obody', 'tc_Com_Opname'
% 0.93/1.32 , 'tc_Com_Ocom' ), 'tc_Com_Opname' ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 0.93/1.32 ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1'( Y,
% 0.93/1.32 Z, X ), Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z ), ~( 'c_in'( Z, Y, X
% 0.93/1.32 ) ), ~( 'c_lessequals'( Z,
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1'( Y,
% 0.93/1.32 Z, X ), X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.93/1.32 'c_Set_Oimage'( X, Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.32 'c_Finite__Set_Ocard'( X, Z ), 'c_Finite__Set_Ocard'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , X ), Y ), Z ), 'tc_nat' ) ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , X ), Y ), Z ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.32 'c_Finite__Set_Ocard'( X, Z ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' )
% 0.93/1.32 ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.32 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), X ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.93/1.32 [ ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y, Z ) ), 'c_in'( hAPP( X, T ), 'c_Set_Oimage'( X,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), Z ),
% 0.93/1.32 =( hAPP( X, T ), hAPP( X,
% 0.93/1.32 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, T ), X, T, Z,
% 0.93/1.32 Y ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1'( X, Z, T, U )
% 0.93/1.32 , 'c_Set_Oimage'( Z, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T, U ), U ), ~( 'c_Fun_Oinj__on'( Z,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( =( 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2'( hAPP( X, Y ),
% 0.93/1.32 X, Y, Z, T ), Y ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ) ),
% 0.93/1.32 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ), T, Z ), Z ) ],
% 0.93/1.32 [ =( X, hAPP( Y, 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( X, Y
% 0.93/1.32 , Z, T ) ) ), ~( 'c_in'( X, 'c_Set_Oimage'( Y,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ), Z ) )
% 0.93/1.32 , ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T, Z ) ) ],
% 0.93/1.32 [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.93/1.32 , ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z, T ) ), =( Y,
% 0.93/1.32 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1'( hAPP( X, Y ), X, T, Z )
% 0.93/1.32 ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.93/1.32 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ 'c_in'( hAPP( 'c_Fun_Othe__inv__into'( X, Y, Z, T ), U ), W, Z ), ~(
% 0.93/1.32 'c_lessequals'( X, W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( U,
% 0.93/1.32 'c_Set_Oimage'( Y, X, Z, T ), T ) ), ~( 'c_Fun_Oinj__on'( Y, X, Z, T ) )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'(
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2'( X,
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Suc'(
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2'( X,
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.32 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.93/1.32 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.32 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.93/1.32 , Y ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 ) ],
% 0.93/1.32 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.93/1.32 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.93/1.32 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.93/1.32 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( 'c_in'(
% 0.93/1.32 T, Z, W ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_in'( Y, X, Z ) ), 'c_in'( Y, T, Z ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, Z, T ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.93/1.32 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), 'c_in'( Z, Y, T ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.93/1.32 ), ~( 'c_in'( T, Z, W ) ), ~( 'c_Finite__Set_Ofold__graph'( X, Y,
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 0.93/1.32 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.93/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.93/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.93/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.93/1.32 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.93/1.32 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ), X ), ~( 'c_in'( Y, Z, X
% 0.93/1.32 ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Z, X ), ~( 'c_in'( Z, Y
% 0.93/1.32 , X ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.93/1.32 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), Y, X ), =( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_in'( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), Y, X ), =( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 ), Y ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.93/1.32 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 ), Y ) ) ],
% 0.93/1.32 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 ), Y ) ) ],
% 0.93/1.32 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y, Z ) ],
% 0.93/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( 'c_in'( X, Y
% 0.93/1.32 , Z ) ) ],
% 0.93/1.32 [ =( hAPP( X, Y ), Z ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.93/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), U, T ), U ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.93/1.32 T ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.93/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_in'( X, Y, Z ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.93/1.32 , Z ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.93/1.32 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), X ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.32 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.93/1.32 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.93/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP(
% 0.93/1.32 X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.93/1.32 [ ~( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'(
% 0.93/1.32 Y, Z, T ), T, U ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.32 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.93/1.32 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.93/1.32 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.93/1.32 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.93/1.32 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.93/1.32 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.93/1.32 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.32 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.93/1.32 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.93/1.32 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.93/1.32 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.93/1.32 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.93/1.32 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.93/1.32 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.93/1.32 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.93/1.32 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.93/1.32 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.93/1.32 , U ), U ) ],
% 0.93/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.93/1.32 , U ), U ) ],
% 0.93/1.32 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.93/1.32 , Z, T ) ) ],
% 0.93/1.32 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.93/1.32 , Z, T ) ) ],
% 0.93/1.32 [ 'v_wt'( 'c_Option_Othe'( hAPP( 'c_Com_Obody', X ), 'tc_Com_Ocom' ) ),
% 0.93/1.32 ~( 'c_in'( X, 'v_U', 'tc_Com_Opname' ) ) ],
% 0.93/1.32 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.93/1.32 'c_Finite__Set_Ocard'( X, Z ) ), ~( 'c_in'( Y, X, Z ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.93/1.32 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.93/1.32 ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.93/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.93/1.32 'c_in'( U, T, Z ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 0.93/1.32 'c_Finite__Set_Ocard'( Y, Z ) ) ), 'c_in'( X, Y, Z ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Y ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ),
% 0.93/1.32 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.32 Y, 'tc_bool' ) ), Y ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), T ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.93/1.32 , 'tc_bool' ) ), Z ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.93/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.93/1.32 Y, Z ) ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.93/1.32 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.93/1.32 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.93/1.32 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T, U ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 ) ), =( Y, Z ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 ) ), =( Y, Z ) ],
% 0.93/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.32 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), Y ) ) ],
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.93/1.32 ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.93/1.32 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.93/1.32 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.93/1.32 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , Y ), T ), Z ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), Y ), Z ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.93/1.32 , T, X ) ) ), =( Z, T ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.32 , T, X ) ) ), =( Y, Z ) ],
% 0.93/1.32 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Set_Ovimage'( X, Y, Z, T ), Z ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.93/1.32 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.93/1.32 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z, T ) ) ],
% 0.93/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.93/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.32 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y, U ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.93/1.32 ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 ) ],
% 0.93/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.93/1.32 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.93/1.32 [ 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Y ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z, U
% 0.93/1.32 ), U ) ), ~( 'c_Fun_Oinj__on'( T, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ],
% 0.93/1.32 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.93/1.32 , Z, T ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ],
% 0.93/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.32 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.93/1.32 Y, Z ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), T ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.93/1.32 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.93/1.32 ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ) ), Y ), Y ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), Y ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.93/1.32 ), Y ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.93/1.32 , Y, 'tc_nat' ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.93/1.32 , X ) ) ],
% 0.93/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( X,
% 0.93/1.32 T, Y ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Z ), T ), X ) ), ~( 'c_in'( Y, T, X ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.93/1.32 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Y ), T ), X ) ), ~( 'c_in'( Z, Y, X ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.93/1.32 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.93/1.32 'tc_nat' ) ) ],
% 0.93/1.32 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.93/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.93/1.32 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.93/1.32 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.93/1.32 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.93/1.32 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z
% 0.93/1.32 ), Z ), 'c_Suc'( 'c_Finite__Set_Ocard'( Y, Z ) ) ), =(
% 0.93/1.32 'c_Finite__Set_Ocard'( Y, Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.93/1.32 X, T, U ), Z ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.93/1.32 hAPP( X, U ) ) ) ) ],
% 0.93/1.32 [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~(
% 0.93/1.32 'c_in'( X, Z, Y ) ) ],
% 0.93/1.32 [ 'c_in'( X, hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ), ~( 'c_in'( X, T, Y ) ), ~(
% 0.93/1.32 'c_in'( X, Z, Y ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.93/1.32 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'(
% 0.93/1.32 X, T, Y ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.93/1.32 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.93/1.32 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X
% 0.93/1.32 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.93/1.32 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.93/1.32 , Z ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.93/1.32 'c_Finite__Set_Ocard'( X, Z ) ), 'c_in'( Y, X, Z ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 0.93/1.32 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'(
% 0.93/1.32 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 0.93/1.32 ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.93/1.32 , T, Z ) ) ],
% 0.93/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.93/1.32 , T ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.93/1.32 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.93/1.32 ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.93/1.32 , T ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.93/1.32 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.93/1.32 , Z ) ],
% 0.93/1.32 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.93/1.32 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.93/1.32 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.93/1.32 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'(
% 0.93/1.32 X, Y, Z, T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 0.93/1.32 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.93/1.32 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.93/1.32 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.93/1.32 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.93/1.32 [ =( X, 'c_Set_Oimage'( Y,
% 0.93/1.32 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1'( Z, X, Y, T, U ), T
% 0.93/1.32 , U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ), 'tc_fun'( U
% 0.93/1.32 , 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.93/1.32 Z, T ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 0.93/1.32 'c_lessequals'( 'c_Set_Oimage'( U, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.93/1.32 ) ), ~( 'c_Fun_Oinj__on'( U, X, Y, T ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.93/1.32 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.93/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y ) ), =( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.93/1.32 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.93/1.32 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.93/1.32 ), T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.93/1.32 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.93/1.32 ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.93/1.32 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.93/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.93/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.93/1.32 , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 0.93/1.32 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.93/1.32 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.93/1.32 , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ),
% 0.93/1.32 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.93/1.32 [ =( X, 'c_Set_Oimage'( Y,
% 0.93/1.32 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 0.93/1.32 , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 0.93/1.32 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.93/1.32 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.93/1.32 , Z ) ) ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.93/1.32 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.93/1.32 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_in'( X, Y, Z ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.93/1.32 'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 X, Y ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z ),
% 0.93/1.32 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.93/1.32 Z, Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.32 , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.93/1.32 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.93/1.32 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 0.93/1.32 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T
% 0.93/1.32 ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 Y, Z ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP( 'v_mgt__call', Y
% 0.93/1.32 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a'
% 0.93/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P', 'c_Set_Oinsert'( hAPP( 'v_mgt__call'
% 0.93/1.32 , Y ), X, 't_a' ) ), 'c_Set_Oinsert'( 'v_mgt'( 'c_Option_Othe'( hAPP(
% 0.93/1.32 'c_Com_Obody', Y ), 'tc_Com_Ocom' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), Y ), hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( X ), Z ), X ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Y ), hAPP(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( X ), Z ), X ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.93/1.32 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 0.93/1.32 ), 'c_in'( 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U', 'v_mgt__call'
% 0.93/1.32 ), 'v_U', 'tc_Com_Opname' ), ~( 'v_wt'( Y ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 0.93/1.32 ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP(
% 0.93/1.32 'v_mgt__call', 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U',
% 0.93/1.32 'v_mgt__call' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.93/1.32 'tc_bool' ) ), 't_a' ) ) ) ), ~( 'v_wt'( Y ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.32 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.93/1.32 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.93/1.32 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.93/1.32 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.93/1.32 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.93/1.32 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.93/1.32 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.93/1.32 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.93/1.32 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.93/1.32 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.32 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.32 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.93/1.32 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.93/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.32 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.93/1.32 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.93/1.32 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ), Y ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), X ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.93/1.32 X, T ), Y ) ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.93/1.32 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.32 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.93/1.32 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.93/1.32 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.93/1.32 , U ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.93/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.93/1.32 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.93/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( 'v_P', X ), Y ) ), ~( 'c_lessequals'( Y, X,
% 0.93/1.32 'tc_fun'( 't_a', 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.93/1.32 ) ), Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.93/1.32 Y, X ) ],
% 0.93/1.32 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.93/1.32 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'v_U', 'tc_Com_Opname' ) ],
% 0.93/1.32 [ 'c_lessequals'( 'v_G', 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 0.93/1.32 'tc_Com_Opname', 't_a' ), 'tc_fun'( 't_a', 'tc_bool' ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ocard'( 'v_G', 't_a' ), 'c_Finite__Set_Ocard'(
% 0.93/1.32 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname', 't_a' ), 't_a' ) )
% 0.93/1.32 ],
% 0.93/1.32 [ 'v_wt'( 'v_c' ) ],
% 0.93/1.32 [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_G' ), 'c_Set_Oinsert'( 'v_mgt'( 'v_c'
% 0.93/1.32 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a'
% 0.93/1.32 ) ) ) ) ],
% 0.93/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.93/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.93/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.93/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.93/1.32 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.93/1.32 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.93/1.32 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.93/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.93/1.32 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.93/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.93/1.32 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.93/1.32 Y ) ) ],
% 0.93/1.32 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.93/1.32 Y ) ) ],
% 0.93/1.32 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.93/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.93/1.32 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.93/1.32 [ 'c_fequal'( X, X, Y ) ],
% 0.93/1.32 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.93/1.32 ] .
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 percentage equality = 0.250000, percentage horn = 0.879452
% 0.93/1.32 This is a problem with some equality
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Options Used:
% 0.93/1.32
% 0.93/1.32 useres = 1
% 0.93/1.32 useparamod = 1
% 0.93/1.32 useeqrefl = 1
% 0.93/1.32 useeqfact = 1
% 0.93/1.32 usefactor = 1
% 0.93/1.32 usesimpsplitting = 0
% 0.93/1.32 usesimpdemod = 5
% 0.93/1.32 usesimpres = 3
% 0.93/1.32
% 0.93/1.32 resimpinuse = 1000
% 0.93/1.32 resimpclauses = 20000
% 0.93/1.32 substype = eqrewr
% 0.93/1.32 backwardsubs = 1
% 0.93/1.32 selectoldest = 5
% 0.93/1.32
% 0.93/1.32 litorderings [0] = split
% 0.93/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.93/1.32
% 0.93/1.32 termordering = kbo
% 0.93/1.32
% 0.93/1.32 litapriori = 0
% 0.93/1.32 termapriori = 1
% 0.93/1.32 litaposteriori = 0
% 0.93/1.32 termaposteriori = 0
% 0.93/1.32 demodaposteriori = 0
% 0.93/1.32 ordereqreflfact = 0
% 0.93/1.32
% 0.93/1.32 litselect = negord
% 0.93/1.32
% 0.93/1.32 maxweight = 15
% 0.93/1.32 maxdepth = 30000
% 0.93/1.32 maxlength = 115
% 0.93/1.32 maxnrvars = 195
% 0.93/1.32 excuselevel = 1
% 0.93/1.32 increasemaxweight = 1
% 0.93/1.32
% 0.93/1.32 maxselected = 10000000
% 0.93/1.32 maxnrclauses = 10000000
% 0.93/1.32
% 0.93/1.32 showgenerated = 0
% 0.93/1.32 showkept = 0
% 0.93/1.32 showselected = 0
% 0.93/1.32 showdeleted = 0
% 0.93/1.32 showresimp = 1
% 0.93/1.32 showstatus = 2000
% 0.93/1.32
% 0.93/1.32 prologoutput = 1
% 0.93/1.32 nrgoals = 5000000
% 0.93/1.32 totalproof = 1
% 0.93/1.32
% 0.93/1.32 Symbols occurring in the translation:
% 0.93/1.32
% 0.93/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.93/1.32 . [1, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.93/1.32 ! [4, 1] (w:0, o:62, a:1, s:1, b:0),
% 0.93/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.32 'tc_nat' [41, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus' [42, 3] (w:1, o:138, a:1, s:1, b:0),
% 0.93/1.32 'c_Suc' [43, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.93/1.32 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:139, a:1, s:1, b:0),
% 0.93/1.32 'tc_bool' [46, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.93/1.32 'tc_fun' [47, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup' [48, 1] (w:1, o:68, a:1
% 0.93/1.32 , s:1, b:0),
% 0.93/1.32 hAPP [50, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.93/1.32 'class_Lattices_Oupper__semilattice' [51, 1] (w:1, o:69, a:1, s:1, b:
% 0.93/1.32 0),
% 0.93/1.32 'class_Orderings_Opreorder' [53, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.93/1.32 'c_in' [59, 3] (w:1, o:140, a:1, s:1, b:0),
% 0.93/1.32 'class_Orderings_Oorder' [60, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.93/1.32 'class_OrderedGroup_Ogroup__add' [61, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.93/1.32
% 0.93/1.32 'c_HOL_Ozero__class_Ozero' [62, 1] (w:1, o:73, a:1, s:1, b:0),
% 3.79/4.18 'c_HOL_Ouminus__class_Ouminus' [64, 2] (w:1, o:133, a:1, s:1, b:0),
% 3.79/4.18 'class_Orderings_Olinorder' [65, 1] (w:1, o:74, a:1, s:1, b:0),
% 3.79/4.18 'c_Orderings_Oord__class_Omin' [66, 1] (w:1, o:75, a:1, s:1, b:0),
% 3.79/4.18 'c_Finite__Set_Ofold1' [67, 2] (w:1, o:134, a:1, s:1, b:0),
% 3.79/4.18 'c_Orderings_Obot__class_Obot' [69, 1] (w:1, o:76, a:1, s:1, b:0),
% 3.79/4.18 'c_Finite__Set_Ofinite' [70, 2] (w:1, o:135, a:1, s:1, b:0),
% 3.79/4.18 'class_Lattices_Olower__semilattice' [71, 1] (w:1, o:77, a:1, s:1, b:
% 3.79/4.18 0),
% 3.79/4.18 'c_Lattices_Olower__semilattice__class_Oinf' [72, 1] (w:1, o:78, a:1
% 3.79/4.18 , s:1, b:0),
% 3.79/4.18 'class_OrderedGroup_Opordered__ab__group__add' [73, 1] (w:1, o:80, a:
% 3.79/4.18 1, s:1, b:0),
% 3.79/4.18 'c_Orderings_Oord__class_Omax' [74, 1] (w:1, o:81, a:1, s:1, b:0),
% 3.79/4.18 'c_lessequals' [76, 3] (w:1, o:141, a:1, s:1, b:0),
% 3.79/4.18 'class_Lattices_Olattice' [78, 1] (w:1, o:82, a:1, s:1, b:0),
% 3.79/4.18 'c_Finite__Set_Olinorder__class_OMax' [79, 1] (w:1, o:83, a:1, s:1
% 3.79/4.18 , b:0),
% 3.79/4.18 'c_Orderings_Otop__class_Otop' [81, 1] (w:1, o:84, a:1, s:1, b:0),
% 3.79/4.18 'class_Lattices_Odistrib__lattice' [82, 1] (w:1, o:85, a:1, s:1, b:0)
% 3.79/4.18 ,
% 3.79/4.18 'class_OrderedGroup_Olordered__ab__group__add' [83, 1] (w:1, o:86, a:
% 3.79/4.18 1, s:1, b:0),
% 3.79/4.18 'class_Lattices_Obounded__lattice' [84, 1] (w:1, o:87, a:1, s:1, b:0)
% 3.79/4.18 ,
% 3.79/4.18 'c_Finite__Set_Olinorder__class_OMin' [85, 1] (w:1, o:88, a:1, s:1
% 3.79/4.18 , b:0),
% 3.79/4.18 'c_Fun_Ofun__upd' [87, 5] (w:1, o:161, a:1, s:1, b:0),
% 3.79/4.18 hBOOL [89, 1] (w:1, o:89, a:1, s:1, b:0),
% 3.79/4.18 'class_Lattices_Oboolean__algebra' [92, 1] (w:1, o:90, a:1, s:1, b:0)
% 3.79/4.18 ,
% 3.79/4.18 'class_Ring__and__Field_Oordered__idom' [93, 1] (w:1, o:92, a:1, s:1
% 3.79/4.18 , b:0),
% 3.79/4.18 'class_OrderedGroup_Oordered__ab__group__add' [97, 1] (w:1, o:79, a:1
% 3.79/4.18 , s:1, b:0),
% 3.79/4.18 'c_Set_Ovimage' [98, 4] (w:1, o:152, a:1, s:1, b:0),
% 3.79/4.18 'c_Fun_Oinj__on' [99, 4] (w:1, o:153, a:1, s:1, b:0),
% 3.79/4.18 'class_OrderedGroup_Oab__group__add' [100, 1] (w:1, o:93, a:1, s:1
% 3.79/4.18 , b:0),
% 3.79/4.18 'c_Finite__Set_Ocard' [103, 2] (w:1, o:136, a:1, s:1, b:0),
% 3.79/4.18 'c_Finite__Set_Osetsum' [104, 4] (w:1, o:154, a:1, s:1, b:0),
% 3.79/4.18 'class_OrderedGroup_Ocomm__monoid__add' [105, 1] (w:1, o:94, a:1, s:1
% 3.79/4.18 , b:0),
% 3.79/4.18 'c_Set_Oinsert' [106, 3] (w:1, o:142, a:1, s:1, b:0),
% 3.79/4.18 'c_Finite__Set_Ofold__graph' [107, 6] (w:1, o:165, a:1, s:1, b:0),
% 3.79/4.18 'c_Set_Oimage' [108, 4] (w:1, o:155, a:1, s:1, b:0),
% 3.79/4.18 'c_Fun_Othe__inv__into' [109, 4] (w:1, o:156, a:1, s:1, b:0),
% 3.79/4.18 'c_COMBK' [110, 3] (w:1, o:143, a:1, s:1, b:0),
% 3.79/4.18 'c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2' [111, 3] (w:
% 3.79/4.18 1, o:144, a:1, s:1, b:0),
% 3.79/4.18 'c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2' [112, 3] (w:1
% 3.79/4.18 , o:145, a:1, s:1, b:0),
% 3.79/4.18 'c_Nitpick_Ofold__graph_H' [115, 6] (w:1, o:166, a:1, s:1, b:0),
% 3.79/4.18 'class_HOL_Oord' [116, 1] (w:1, o:95, a:1, s:1, b:0),
% 3.79/4.18 'class_Ring__and__Field_Ono__zero__divisors' [119, 1] (w:1, o:91, a:1
% 3.79/4.18 , s:1, b:0),
% 3.79/4.18 'class_Ring__and__Field_Ocomm__semiring__1' [120, 1] (w:1, o:96, a:1
% 3.79/4.18 , s:1, b:0),
% 3.79/4.18 'c_Finite__Set_Osetprod' [121, 4] (w:1, o:157, a:1, s:1, b:0),
% 3.79/4.18 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1' [122
% 3.79/4.18 , 3] (w:1, o:146, a:1, s:1, b:0),
% 3.79/4.18 'c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1' [123
% 3.79/4.18 , 3] (w:1, o:147, a:1, s:1, b:0),
% 3.79/4.18 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1' [124, 3
% 3.79/4.18 ] (w:1, o:148, a:1, s:1, b:0),
% 3.79/4.18 'class_Orderings_Otop' [125, 1] (w:1, o:97, a:1, s:1, b:0),
% 3.79/4.18 'class_Ring__and__Field_Oring' [126, 1] (w:1, o:98, a:1, s:1, b:0),
% 3.79/4.18 'class_Ring__and__Field_Ofield' [127, 1] (w:1, o:99, a:1, s:1, b:0),
% 3.79/4.18
% 3.79/4.18 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2' [128, 3
% 3.79/4.18 ] (w:1, o:149, a:1, s:1, b:0),
% 3.79/4.18 'c_Com_Obody' [129, 0] (w:1, o:40, a:1, s:1, b:0),
% 3.79/4.18 'tc_Com_Opname' [130, 0] (w:1, o:41, a:1, s:1, b:0),
% 3.79/4.18 'tc_Com_Ocom' [131, 0] (w:1, o:42, a:1, s:1, b:0),
% 3.79/4.18 'c_Map_Odom' [132, 3] (w:1, o:150, a:1, s:1, b:0),
% 3.79/4.18 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2' [133, 5] (w:1, o:162
% 19.77/20.13 , a:1, s:1, b:0),
% 19.77/20.13 'c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1' [134, 4]
% 19.77/20.13 (w:1, o:158, a:1, s:1, b:0),
% 19.77/20.13 'c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1' [135, 4] (w:1, o:159
% 19.77/20.13 , a:1, s:1, b:0),
% 19.77/20.13 'class_Finite__Set_Ofinite_Ofinite' [136, 1] (w:1, o:100, a:1, s:1
% 19.77/20.13 , b:0),
% 19.77/20.13 'c_Option_Othe' [139, 2] (w:1, o:137, a:1, s:1, b:0),
% 19.77/20.13 'v_wt' [140, 1] (w:1, o:101, a:1, s:1, b:0),
% 19.77/20.13 'v_U' [141, 0] (w:1, o:45, a:1, s:1, b:0),
% 19.77/20.13 'class_Ring__and__Field_Oidom' [142, 1] (w:1, o:102, a:1, s:1, b:0),
% 19.77/20.13
% 19.77/20.13 'class_Int_Onumber__ring' [143, 1] (w:1, o:103, a:1, s:1, b:0),
% 19.77/20.13 'c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1' [149, 5] (w:1
% 19.77/20.13 , o:163, a:1, s:1, b:0),
% 19.77/20.13 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1' [150, 5
% 19.77/20.13 ] (w:1, o:164, a:1, s:1, b:0),
% 19.77/20.13 'v_P' [151, 0] (w:1, o:50, a:1, s:1, b:0),
% 19.77/20.13 'v_mgt__call' [152, 0] (w:1, o:51, a:1, s:1, b:0),
% 19.77/20.13 't_a' [153, 0] (w:1, o:52, a:1, s:1, b:0),
% 19.77/20.13 'v_mgt' [154, 1] (w:1, o:104, a:1, s:1, b:0),
% 19.77/20.13 'v_sko__local__Xassms__3__1' [157, 4] (w:1, o:160, a:1, s:1, b:0),
% 19.77/20.13 'class_Orderings_Obot' [158, 1] (w:1, o:105, a:1, s:1, b:0),
% 19.77/20.13 'v_G' [160, 0] (w:1, o:56, a:1, s:1, b:0),
% 19.77/20.13 'v_c' [161, 0] (w:1, o:57, a:1, s:1, b:0),
% 19.77/20.13 'c_fequal' [164, 3] (w:1, o:151, a:1, s:1, b:0).
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Starting Search:
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 5069
% 19.77/20.13 Kept: 2163
% 19.77/20.13 Inuse: 164
% 19.77/20.13 Deleted: 5
% 19.77/20.13 Deletedinuse: 0
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 12313
% 19.77/20.13 Kept: 4164
% 19.77/20.13 Inuse: 320
% 19.77/20.13 Deleted: 7
% 19.77/20.13 Deletedinuse: 0
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 17698
% 19.77/20.13 Kept: 6171
% 19.77/20.13 Inuse: 370
% 19.77/20.13 Deleted: 8
% 19.77/20.13 Deletedinuse: 0
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 29251
% 19.77/20.13 Kept: 8435
% 19.77/20.13 Inuse: 393
% 19.77/20.13 Deleted: 8
% 19.77/20.13 Deletedinuse: 0
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 40678
% 19.77/20.13 Kept: 10456
% 19.77/20.13 Inuse: 428
% 19.77/20.13 Deleted: 8
% 19.77/20.13 Deletedinuse: 0
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 48265
% 19.77/20.13 Kept: 12458
% 19.77/20.13 Inuse: 487
% 19.77/20.13 Deleted: 8
% 19.77/20.13 Deletedinuse: 0
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 57371
% 19.77/20.13 Kept: 14595
% 19.77/20.13 Inuse: 542
% 19.77/20.13 Deleted: 10
% 19.77/20.13 Deletedinuse: 1
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 67351
% 19.77/20.13 Kept: 16898
% 19.77/20.13 Inuse: 597
% 19.77/20.13 Deleted: 23
% 19.77/20.13 Deletedinuse: 9
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 76016
% 19.77/20.13 Kept: 18904
% 19.77/20.13 Inuse: 620
% 19.77/20.13 Deleted: 30
% 19.77/20.13 Deletedinuse: 16
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying clauses:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 86977
% 19.77/20.13 Kept: 20910
% 19.77/20.13 Inuse: 682
% 19.77/20.13 Deleted: 759
% 19.77/20.13 Deletedinuse: 19
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 96155
% 19.77/20.13 Kept: 22936
% 19.77/20.13 Inuse: 730
% 19.77/20.13 Deleted: 759
% 19.77/20.13 Deletedinuse: 19
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 108068
% 19.77/20.13 Kept: 25243
% 19.77/20.13 Inuse: 764
% 19.77/20.13 Deleted: 763
% 19.77/20.13 Deletedinuse: 22
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 117354
% 19.77/20.13 Kept: 27247
% 19.77/20.13 Inuse: 786
% 19.77/20.13 Deleted: 763
% 19.77/20.13 Deletedinuse: 22
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 131381
% 19.77/20.13 Kept: 29319
% 19.77/20.13 Inuse: 839
% 19.77/20.13 Deleted: 763
% 19.77/20.13 Deletedinuse: 22
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 141082
% 19.77/20.13 Kept: 31364
% 19.77/20.13 Inuse: 886
% 19.77/20.13 Deleted: 765
% 19.77/20.13 Deletedinuse: 24
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 155447
% 19.77/20.13 Kept: 35296
% 19.77/20.13 Inuse: 924
% 19.77/20.13 Deleted: 766
% 19.77/20.13 Deletedinuse: 25
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13 Resimplifying inuse:
% 19.77/20.13 Done
% 19.77/20.13
% 19.77/20.13
% 19.77/20.13 Intermediate Status:
% 19.77/20.13 Generated: 165458
% 19.77/20.13 Kept: 37300
% 54.69/55.06 Inuse: 957
% 54.69/55.06 Deleted: 770
% 54.69/55.06 Deletedinuse: 25
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06
% 54.69/55.06 Intermediate Status:
% 54.69/55.06 Generated: 175080
% 54.69/55.06 Kept: 39348
% 54.69/55.06 Inuse: 1010
% 54.69/55.06 Deleted: 770
% 54.69/55.06 Deletedinuse: 25
% 54.69/55.06
% 54.69/55.06 Resimplifying clauses:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06
% 54.69/55.06 Intermediate Status:
% 54.69/55.06 Generated: 195687
% 54.69/55.06 Kept: 41938
% 54.69/55.06 Inuse: 1059
% 54.69/55.06 Deleted: 1383
% 54.69/55.06 Deletedinuse: 27
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06
% 54.69/55.06 Intermediate Status:
% 54.69/55.06 Generated: 208851
% 54.69/55.06 Kept: 44805
% 54.69/55.06 Inuse: 1089
% 54.69/55.06 Deleted: 1383
% 54.69/55.06 Deletedinuse: 27
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06
% 54.69/55.06 Intermediate Status:
% 54.69/55.06 Generated: 217747
% 54.69/55.06 Kept: 46826
% 54.69/55.06 Inuse: 1121
% 54.69/55.06 Deleted: 1386
% 54.69/55.06 Deletedinuse: 28
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06
% 54.69/55.06 Intermediate Status:
% 54.69/55.06 Generated: 235696
% 54.69/55.06 Kept: 50679
% 54.69/55.06 Inuse: 1162
% 54.69/55.06 Deleted: 1417
% 54.69/55.06 Deletedinuse: 39
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06 Resimplifying inuse:
% 54.69/55.06 Done
% 54.69/55.06
% 54.69/55.06
% 54.69/55.06 Intermediate Status:
% 54.69/55.06 Generated: 252612
% 54.71/55.07 Kept: 54415
% 54.71/55.07 Inuse: 1181
% 54.71/55.07 Deleted: 1463
% 54.71/55.07 Deletedinuse: 39
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 260600
% 54.71/55.07 Kept: 56538
% 54.71/55.07 Inuse: 1220
% 54.71/55.07 Deleted: 1474
% 54.71/55.07 Deletedinuse: 39
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 268709
% 54.71/55.07 Kept: 58601
% 54.71/55.07 Inuse: 1257
% 54.71/55.07 Deleted: 1476
% 54.71/55.07 Deletedinuse: 39
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying clauses:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 287280
% 54.71/55.07 Kept: 60717
% 54.71/55.07 Inuse: 1305
% 54.71/55.07 Deleted: 2394
% 54.71/55.07 Deletedinuse: 39
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 303446
% 54.71/55.07 Kept: 62781
% 54.71/55.07 Inuse: 1327
% 54.71/55.07 Deleted: 2427
% 54.71/55.07 Deletedinuse: 53
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 313145
% 54.71/55.07 Kept: 65278
% 54.71/55.07 Inuse: 1337
% 54.71/55.07 Deleted: 2443
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 322844
% 54.71/55.07 Kept: 68065
% 54.71/55.07 Inuse: 1341
% 54.71/55.07 Deleted: 2459
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 332252
% 54.71/55.07 Kept: 70651
% 54.71/55.07 Inuse: 1345
% 54.71/55.07 Deleted: 2475
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 342894
% 54.71/55.07 Kept: 72987
% 54.71/55.07 Inuse: 1352
% 54.71/55.07 Deleted: 2493
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 352612
% 54.71/55.07 Kept: 75115
% 54.71/55.07 Inuse: 1370
% 54.71/55.07 Deleted: 2520
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 359229
% 54.71/55.07 Kept: 77510
% 54.71/55.07 Inuse: 1386
% 54.71/55.07 Deleted: 2544
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 369656
% 54.71/55.07 Kept: 80938
% 54.71/55.07 Inuse: 1389
% 54.71/55.07 Deleted: 2545
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying clauses:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 383761
% 54.71/55.07 Kept: 83970
% 54.71/55.07 Inuse: 1420
% 54.71/55.07 Deleted: 3536
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 392842
% 54.71/55.07 Kept: 86016
% 54.71/55.07 Inuse: 1435
% 54.71/55.07 Deleted: 3536
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 403393
% 54.71/55.07 Kept: 88035
% 54.71/55.07 Inuse: 1468
% 54.71/55.07 Deleted: 3536
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 413885
% 54.71/55.07 Kept: 90814
% 54.71/55.07 Inuse: 1485
% 54.71/55.07 Deleted: 3536
% 54.71/55.07 Deletedinuse: 55
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 423277
% 54.71/55.07 Kept: 92957
% 54.71/55.07 Inuse: 1515
% 54.71/55.07 Deleted: 3538
% 54.71/55.07 Deletedinuse: 57
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 431938
% 54.71/55.07 Kept: 94993
% 54.71/55.07 Inuse: 1535
% 54.71/55.07 Deleted: 3538
% 54.71/55.07 Deletedinuse: 57
% 54.71/55.07
% 54.71/55.07 Resimplifying inuse:
% 54.71/55.07 Done
% 54.71/55.07
% 54.71/55.07
% 54.71/55.07 Intermediate Status:
% 54.71/55.07 Generated: 439782
% 54.71/55.07 Kept: 97170
% 54.71/55.07 Inuse: 1550
% 124.77/125.17 Deleted: 3538
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 448701
% 124.77/125.17 Kept: 99175
% 124.77/125.17 Inuse: 1565
% 124.77/125.17 Deleted: 3538
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 461094
% 124.77/125.17 Kept: 101633
% 124.77/125.17 Inuse: 1580
% 124.77/125.17 Deleted: 3538
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying clauses:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 476566
% 124.77/125.17 Kept: 105043
% 124.77/125.17 Inuse: 1590
% 124.77/125.17 Deleted: 3706
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 491634
% 124.77/125.17 Kept: 108194
% 124.77/125.17 Inuse: 1600
% 124.77/125.17 Deleted: 3706
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 501928
% 124.77/125.17 Kept: 110225
% 124.77/125.17 Inuse: 1621
% 124.77/125.17 Deleted: 3706
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 512633
% 124.77/125.17 Kept: 112380
% 124.77/125.17 Inuse: 1645
% 124.77/125.17 Deleted: 3706
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 522269
% 124.77/125.17 Kept: 114687
% 124.77/125.17 Inuse: 1655
% 124.77/125.17 Deleted: 3706
% 124.77/125.17 Deletedinuse: 57
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 532371
% 124.77/125.17 Kept: 116909
% 124.77/125.17 Inuse: 1675
% 124.77/125.17 Deleted: 3707
% 124.77/125.17 Deletedinuse: 58
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 549634
% 124.77/125.17 Kept: 121553
% 124.77/125.17 Inuse: 1699
% 124.77/125.17 Deleted: 3707
% 124.77/125.17 Deletedinuse: 58
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying clauses:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 561498
% 124.77/125.17 Kept: 123579
% 124.77/125.17 Inuse: 1725
% 124.77/125.17 Deleted: 3982
% 124.77/125.17 Deletedinuse: 59
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 575497
% 124.77/125.17 Kept: 125713
% 124.77/125.17 Inuse: 1755
% 124.77/125.17 Deleted: 3983
% 124.77/125.17 Deletedinuse: 60
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 585884
% 124.77/125.17 Kept: 127740
% 124.77/125.17 Inuse: 1767
% 124.77/125.17 Deleted: 3983
% 124.77/125.17 Deletedinuse: 60
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 595578
% 124.77/125.17 Kept: 129753
% 124.77/125.17 Inuse: 1776
% 124.77/125.17 Deleted: 3984
% 124.77/125.17 Deletedinuse: 61
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 615995
% 124.77/125.17 Kept: 133825
% 124.77/125.17 Inuse: 1810
% 124.77/125.17 Deleted: 3984
% 124.77/125.17 Deletedinuse: 61
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 624066
% 124.77/125.17 Kept: 136543
% 124.77/125.17 Inuse: 1813
% 124.77/125.17 Deleted: 3985
% 124.77/125.17 Deletedinuse: 61
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 641614
% 124.77/125.17 Kept: 140197
% 124.77/125.17 Inuse: 1824
% 124.77/125.17 Deleted: 3985
% 124.77/125.17 Deletedinuse: 61
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 663855
% 124.77/125.17 Kept: 142433
% 124.77/125.17 Inuse: 1839
% 124.77/125.17 Deleted: 3987
% 124.77/125.17 Deletedinuse: 63
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying clauses:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17 Resimplifying inuse:
% 124.77/125.17 Done
% 124.77/125.17
% 124.77/125.17
% 124.77/125.17 Intermediate Status:
% 124.77/125.17 Generated: 683899
% 124.77/125.17 Kept: 144727
% 124.77/125.17 Inuse: 1853
% 124.77/125.17 Deleted: 4507
% 124.77/125.18 Deletedinuse: 65
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18
% 124.77/125.18 Intermediate Status:
% 124.77/125.18 Generated: 691763
% 124.77/125.18 Kept: 146739
% 124.77/125.18 Inuse: 1863
% 124.77/125.18 Deleted: 4534
% 124.77/125.18 Deletedinuse: 66
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18
% 124.77/125.18 Intermediate Status:
% 124.77/125.18 Generated: 705969
% 124.77/125.18 Kept: 148806
% 124.77/125.18 Inuse: 1887
% 124.77/125.18 Deleted: 4534
% 124.77/125.18 Deletedinuse: 66
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18
% 124.77/125.18 Intermediate Status:
% 124.77/125.18 Generated: 720054
% 124.77/125.18 Kept: 151083
% 124.77/125.18 Inuse: 1907
% 124.77/125.18 Deleted: 4534
% 124.77/125.18 Deletedinuse: 66
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18
% 124.77/125.18 Intermediate Status:
% 124.77/125.18 Generated: 735328
% 124.77/125.18 Kept: 153224
% 124.77/125.18 Inuse: 1937
% 124.77/125.18 Deleted: 4536
% 124.77/125.18 Deletedinuse: 68
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18
% 124.77/125.18 Intermediate Status:
% 124.77/125.18 Generated: 743991
% 124.77/125.18 Kept: 155357
% 124.77/125.18 Inuse: 1953
% 124.77/125.18 Deleted: 4562
% 124.77/125.18 Deletedinuse: 70
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 124.77/125.18 Done
% 124.77/125.18
% 124.77/125.18
% 124.77/125.18 Intermediate Status:
% 124.77/125.18 Generated: 758668
% 124.77/125.18 Kept: 159468
% 124.77/125.18 Inuse: 1955
% 124.77/125.18 Deleted: 4565
% 124.77/125.18 Deletedinuse: 70
% 124.77/125.18
% 124.77/125.18 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 774335
% 255.95/256.55 Kept: 163653
% 255.95/256.55 Inuse: 1960
% 255.95/256.55 Deleted: 4565
% 255.95/256.55 Deletedinuse: 70
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying clauses:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 790668
% 255.95/256.55 Kept: 167110
% 255.95/256.55 Inuse: 1965
% 255.95/256.55 Deleted: 5127
% 255.95/256.55 Deletedinuse: 70
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 818411
% 255.95/256.55 Kept: 170082
% 255.95/256.55 Inuse: 1983
% 255.95/256.55 Deleted: 5130
% 255.95/256.55 Deletedinuse: 71
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 835966
% 255.95/256.55 Kept: 174438
% 255.95/256.55 Inuse: 2006
% 255.95/256.55 Deleted: 5132
% 255.95/256.55 Deletedinuse: 73
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 844652
% 255.95/256.55 Kept: 177135
% 255.95/256.55 Inuse: 2007
% 255.95/256.55 Deleted: 5132
% 255.95/256.55 Deletedinuse: 73
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 856085
% 255.95/256.55 Kept: 179173
% 255.95/256.55 Inuse: 2029
% 255.95/256.55 Deleted: 5132
% 255.95/256.55 Deletedinuse: 73
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 866782
% 255.95/256.55 Kept: 183065
% 255.95/256.55 Inuse: 2034
% 255.95/256.55 Deleted: 5132
% 255.95/256.55 Deletedinuse: 73
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying clauses:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 884501
% 255.95/256.55 Kept: 185422
% 255.95/256.55 Inuse: 2063
% 255.95/256.55 Deleted: 5309
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 904675
% 255.95/256.55 Kept: 187518
% 255.95/256.55 Inuse: 2068
% 255.95/256.55 Deleted: 5309
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 944006
% 255.95/256.55 Kept: 191228
% 255.95/256.55 Inuse: 2098
% 255.95/256.55 Deleted: 5309
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 955012
% 255.95/256.55 Kept: 193307
% 255.95/256.55 Inuse: 2103
% 255.95/256.55 Deleted: 5309
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 966127
% 255.95/256.55 Kept: 195443
% 255.95/256.55 Inuse: 2108
% 255.95/256.55 Deleted: 5309
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 980996
% 255.95/256.55 Kept: 197491
% 255.95/256.55 Inuse: 2128
% 255.95/256.55 Deleted: 5309
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1012307
% 255.95/256.55 Kept: 201623
% 255.95/256.55 Inuse: 2148
% 255.95/256.55 Deleted: 5309
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1018830
% 255.95/256.55 Kept: 203641
% 255.95/256.55 Inuse: 2166
% 255.95/256.55 Deleted: 5316
% 255.95/256.55 Deletedinuse: 75
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying clauses:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1031712
% 255.95/256.55 Kept: 205890
% 255.95/256.55 Inuse: 2193
% 255.95/256.55 Deleted: 5460
% 255.95/256.55 Deletedinuse: 76
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1037451
% 255.95/256.55 Kept: 208028
% 255.95/256.55 Inuse: 2204
% 255.95/256.55 Deleted: 5464
% 255.95/256.55 Deletedinuse: 76
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1047066
% 255.95/256.55 Kept: 210084
% 255.95/256.55 Inuse: 2220
% 255.95/256.55 Deleted: 5473
% 255.95/256.55 Deletedinuse: 76
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1055337
% 255.95/256.55 Kept: 212145
% 255.95/256.55 Inuse: 2238
% 255.95/256.55 Deleted: 5478
% 255.95/256.55 Deletedinuse: 77
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1062963
% 255.95/256.55 Kept: 214290
% 255.95/256.55 Inuse: 2251
% 255.95/256.55 Deleted: 5478
% 255.95/256.55 Deletedinuse: 77
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1070080
% 255.95/256.55 Kept: 216310
% 255.95/256.55 Inuse: 2266
% 255.95/256.55 Deleted: 5478
% 255.95/256.55 Deletedinuse: 77
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1085498
% 255.95/256.55 Kept: 219272
% 255.95/256.55 Inuse: 2276
% 255.95/256.55 Deleted: 5478
% 255.95/256.55 Deletedinuse: 77
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1097052
% 255.95/256.55 Kept: 221771
% 255.95/256.55 Inuse: 2296
% 255.95/256.55 Deleted: 5478
% 255.95/256.55 Deletedinuse: 77
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate Status:
% 255.95/256.55 Generated: 1108296
% 255.95/256.55 Kept: 224039
% 255.95/256.55 Inuse: 2301
% 255.95/256.55 Deleted: 5478
% 255.95/256.55 Deletedinuse: 77
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying clauses:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55 Resimplifying inuse:
% 255.95/256.55 Done
% 255.95/256.55
% 255.95/256.55
% 255.95/256.55 Intermediate StatCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------