TSTP Solution File: SWV825-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV825-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 16:28:41 EDT 2022
% Result : Timeout 300.03s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV825-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 16:09:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.93/1.32 *** allocated 10000 integers for termspace/termends
% 0.93/1.32 *** allocated 10000 integers for clauses
% 0.93/1.32 *** allocated 10000 integers for justifications
% 0.93/1.32 *** allocated 15000 integers for termspace/termends
% 0.93/1.32 Bliksem 1.12
% 0.93/1.32
% 0.93/1.32
% 0.93/1.32 Automatic Strategy Selection
% 0.93/1.32
% 0.93/1.32 Clauses:
% 0.93/1.32 [
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBI'( X ), X, X ), Y ), Y ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.93/1.32 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.93/1.32 , T, X ), 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 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.93/1.32 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.93/1.32 Y, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( W, X, U ) ) ) ],
% 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_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 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.32 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.32 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.93/1.32 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.93/1.32 , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( X, Y ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.32 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.93/1.32 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.93/1.32 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.93/1.32 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.93/1.32 , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, hAPP(
% 0.93/1.32 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.93/1.32 , ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, W, T ), U ), Z, 'tc_fun'( T
% 0.93/1.32 , 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 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 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.93/1.32 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, Z, T ), U ), T, W ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, T, W, Z ), U, Z, W ) ) ],
% 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_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , 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_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ) ), 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 ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 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 ) ), 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 ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 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 ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), 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 ), Z ), T ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.93/1.32 ), hBOOL( 'c_in'( hAPP( X, Z ), hAPP( 'c_Set_Oimage'( X, Y, U ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( T, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ) ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 0.93/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.93/1.32 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.93/1.32 [ =( 'c_COMBS'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), hAPP( Y, Z ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), U ), Z, X ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), U ), Z, X ) ) ],
% 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 [ ~( '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 [ ~( '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_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), 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 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 0.93/1.32 X, T ) ) ],
% 0.93/1.32 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.93/1.32 , T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.93/1.32 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.32 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.93/1.32 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 ) ],
% 0.93/1.32 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oimage'( X
% 0.93/1.32 , Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.32 '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 ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), T ) ) ) ],
% 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_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( '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 ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( '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 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( '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 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.93/1.32 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.93/1.32 U, W ) ) ],
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.93/1.32 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.93/1.32 =( Y, Z ) ],
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.93/1.32 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.93/1.32 =( Y, Z ) ],
% 0.93/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.93/1.32 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.93/1.32 , U ) ) ) ],
% 0.93/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 , U ), U, '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 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.93/1.32 'tc_fun'( Y, '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 ), 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 [ ~( '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 [ '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 [ ~( '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 [ =( 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 [ ~( '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 [ ~( '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 [ =( 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 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.93/1.32 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.93/1.32 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 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 [ '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 [ =( 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_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.32 '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 ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.93/1.32 ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.93/1.32 ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.93/1.32 , T ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.93/1.32 , T ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.93/1.32 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 0.93/1.32 , ~( hBOOL( 'c_in'( Z, U, T ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.93/1.32 , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.93/1.32 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.93/1.32 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 0.93/1.32 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.93/1.32 'c_lessequals'( T, U, '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 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X,
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.93/1.32 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X,
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.93/1.32 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 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' ) ) ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ) ) ],
% 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' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.93/1.32 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.93/1.32 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.93/1.32 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T,
% 0.93/1.32 U, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.93/1.32 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ),
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.93/1.32 ), Y ), hAPP( hAPP( X, Z ), 'c_Finite__Set_Ofold1'( X, T, Y ) ) ), hBOOL(
% 0.93/1.32 'c_in'( Z, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), =( T,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'(
% 0.93/1.32 X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.93/1.32 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.93/1.32 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.93/1.32 , T ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.93/1.32 , Z ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.32 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.32 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.93/1.32 ,
% 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'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.93/1.32 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.93/1.32 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.93/1.32 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , T ), U ), Y, Z ) ), =( T, U ) ],
% 0.93/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.93/1.32 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.93/1.32 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.93/1.32 ), X ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.93/1.32 , =( Z, W ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.93/1.32 , =( Y, U ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.93/1.32 , =( X, T ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 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 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.32 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.93/1.32 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.93/1.32 '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 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.93/1.32 ) ],
% 0.93/1.32 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.93/1.32 ) ],
% 0.93/1.32 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.93/1.32 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.93/1.32 , U ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.93/1.32 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.93/1.32 , U ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.93/1.32 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.93/1.32 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 0.93/1.32 Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z,
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.93/1.32 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBI'( X ), X, X ), Y ), Y ) ],
% 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_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.93/1.32 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.93/1.32 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 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'( 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 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 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_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 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.32 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.93/1.32 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ) ],
% 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 [ =( '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 [ ~( 'class_Lattices_Olattice'( X ) ), =( 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 ), Y ), Z ) ), Y ) ],
% 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 [ ~( '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 [ ~( '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_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_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 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 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.93/1.32 'c_lessequals'( Z, Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.93/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.93/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 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 [ =( 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'(
% 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 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.93/1.32 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.93/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.93/1.32 , U ), U, '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 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.93/1.32 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.32 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), 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 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.93/1.32 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.93/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.93/1.32 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.93/1.32 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.93/1.32 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.93/1.32 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.93/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.93/1.32 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.93/1.32 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.93/1.32 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.93/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 0.93/1.32 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.93/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.93/1.32 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.93/1.32 'c_in'( X, T, Y ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.93/1.32 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.93/1.32 Z, Y, X ) ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.93/1.32 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.93/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ) ) ), ~( hBOOL( '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 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.93/1.32 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 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 [ ~( '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 [ =( 'c_HOL_Ominus__class_Ominus'( 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' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W )
% 0.93/1.32 , hAPP( 'c_Set_Ovimage'( Y, U, Z ), hAPP( 'c_Set_Ovimage'( X, Z, T ), W )
% 0.93/1.32 ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.93/1.32 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.93/1.32 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.93/1.32 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.93/1.32 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.93/1.32 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.93/1.32 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.93/1.32 , V3, V4, U ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.93/1.32 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.93/1.32 , V3, V4, U ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), Y ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( 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 ), Z ), Y ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( 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 ), Z ), Y ) ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.93/1.32 =( X, Z ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.93/1.32 =( Y, T ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ), Y ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.93/1.32 , 'tc_bool' ), U ), U, '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' ) ), Y ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.93/1.32 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.93/1.32 , 'tc_bool' ), U ), U, '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 ), 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' ) ), Y ), Z ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 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 ), Z ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), 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 ), Z ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( X, hAPP( 'c_Set_Oimage'( Y, U, Z ), W ), Z, T ) ), ~(
% 0.93/1.32 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.93/1.32 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.93/1.32 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.93/1.32 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.93/1.32 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 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_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.93/1.32 ,
% 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' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, 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_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =(
% 0.93/1.32 'c_Finite__Set_Ofold1'( T, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), X ), hAPP( hAPP( T, 'c_Finite__Set_Ofold1'( T, Y, X ) ),
% 0.93/1.32 'c_Finite__Set_Ofold1'( T, 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 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( '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 ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.93/1.32 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.93/1.32 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ),
% 0.93/1.32 'c_HOL_Ominus__class_Ominus'( U, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.93/1.32 , 'tc_bool' ) ) ), T ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Z ), Y ), U ), Z, T ) ) ],
% 0.93/1.32 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.93/1.32 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.93/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.93/1.32 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.93/1.32 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.93/1.32 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.93/1.32 ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.93/1.32 hBOOL( 'c_in'( Y, T, X ) ) ],
% 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 [ 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 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, hAPP(
% 0.93/1.32 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( '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 , U ), Y ), Z, T ) ) ],
% 0.93/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( '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 ) ) ],
% 0.93/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ],
% 0.93/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ), U ), T )
% 0.93/1.32 ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ), U ), T )
% 0.93/1.32 ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 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 [ '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 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.32 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.93/1.32 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.93/1.32 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, 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'( 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_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 [ ~( '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_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_Obot'( X ) ), 'c_lessequals'(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, 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 ) ) ), =( 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( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 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_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( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.93/1.32 , V2, Z, Y ) ) ],
% 0.93/1.32 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.93/1.32 , Z, V2, Y ) ) ],
% 0.93/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.93/1.32 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.93/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.93/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.93/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ), Y ) ) ) ],
% 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_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.93/1.32 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.93/1.32 ],
% 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 [ =( 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_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 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.32 '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_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' ) ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.93/1.32 , 'tc_bool' ) ) ) ],
% 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 ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.93/1.32 ,
% 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 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.93/1.32 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z )
% 0.93/1.32 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.32 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL(
% 0.93/1.32 'c_in'( Y, Z, X ) ) ) ],
% 0.93/1.32 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, hAPP( 'c_Set_Ovimage'( X, T
% 0.93/1.32 , U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), T ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.93/1.32 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ), 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 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.93/1.32 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.93/1.32 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 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 ), 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 [ ~( '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_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_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_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 [ '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'( 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'( 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_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.93/1.32 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 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 ) ), T ), hAPP(
% 0.93/1.32 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( 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 ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( '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' ) ), 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' ) ), Y ), T ) ) ) ],
% 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 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Z ), T ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.93/1.32 , 'v_x' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 0.93/1.32 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 0.93/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 0.93/1.32 ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T, Y, Z, U ), U, Z ), W ) ) ]
% 0.93/1.32 ,
% 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 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.93/1.32 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.93/1.32 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 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, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 0.93/1.32 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.93/1.32 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~(
% 0.93/1.32 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ), Y ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.93/1.32 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.32 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 0.93/1.32 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ =( hAPP( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), U, T ), W ),
% 0.93/1.32 hAPP( 'c_Set_Oimage'( X, Z, T ), hAPP( 'c_Set_Oimage'( Y, U, Z ), W ) ) )
% 0.93/1.32 ],
% 0.93/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ hBOOL( 'c_in'( 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 ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( 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 ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.93/1.32 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_COMBB'( X, Y, Z, 'tc_fun'(
% 0.93/1.32 T, T ), U ), U, T ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, Z, T )
% 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 ), 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 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.93/1.32 ,
% 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 ), T ),
% 0.93/1.32 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 ), Z ), T ),
% 0.93/1.32 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.93/1.32 ,
% 0.93/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.93/1.32 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.93/1.32 ,
% 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'( 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 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), 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_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.93/1.32 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.32 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_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 [ ~( '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 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.32 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.32 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.93/1.32 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.93/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.93/1.32 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.93/1.32 [ 'c_lessequals'( X, X, 'tc_fun'( Y, '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_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 [ 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 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.93/1.32 ,
% 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 [ 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_lessequals'( X, Z, 'tc_fun'( Y
% 0.93/1.32 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.93/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.93/1.32 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 0.93/1.32 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, '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 ), 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_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 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.32 'c_lessequals'( Y, Z, X ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.93/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.93/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.93/1.32 'c_lessequals'( Y, Z, X ) ) ],
% 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 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, U
% 0.93/1.32 , 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.93/1.32 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 0.93/1.32 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y,
% 0.93/1.32 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.93/1.32 ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.93/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.93/1.32 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), 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 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.32 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.93/1.32 'c_in'( X, Z, Y ) ) ) ],
% 0.93/1.32 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.93/1.32 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.93/1.32 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.93/1.32 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.93/1.32 , V4 ), W ) ) ],
% 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 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.32 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.93/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.93/1.32 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.93/1.32 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.93/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.93/1.32 U, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.93/1.33 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 0.93/1.33 hAPP( T, hAPP( X, U ) ) ) ) ],
% 0.93/1.33 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.93/1.33 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.93/1.33 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.93/1.33 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.93/1.33 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.93/1.33 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.93/1.33 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.93/1.33 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.93/1.33 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.33 Z, Y ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.93/1.33 Z, Y ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.93/1.33 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.93/1.33 [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Y ), Z, Z, Z ), hAPP( X, Y )
% 0.93/1.33 ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, Z ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.93/1.33 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.93/1.33 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.93/1.33 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.93/1.33 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 0.93/1.33 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.93/1.33 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.93/1.33 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.93/1.33 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.93/1.33 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.93/1.33 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.93/1.33 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.93/1.33 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.93/1.33 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.93/1.33 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.93/1.33 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.93/1.33 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.93/1.33 Y, Z, X ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.93/1.33 'c_lessequals'( Z, Y, X ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( T ), hAPP( Y, X ) ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( T, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 0.93/1.33 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 0.93/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.93/1.33 'c_in'( Y, Z, X ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.33 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), =( 'c_Finite__Set_Ofold1'( T
% 0.93/1.33 , hAPP( hAPP( 'c_Set_Oinsert'( U ), W ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( U, 'tc_bool' ) ) ), U ), W ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 0.93/1.33 ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.93/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.33 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.93/1.33 ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.93/1.33 , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.93/1.33 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.33 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.93/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.93/1.33 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.93/1.33 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.93/1.33 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.93/1.33 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.93/1.33 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 0.93/1.33 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.93/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.93/1.33 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.93/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.93/1.33 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.93/1.33 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.93/1.33 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.93/1.33 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.93/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 0.93/1.33 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.93/1.33 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Y ), T ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.93/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.93/1.33 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , Z ), T ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.93/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ) ],
% 0.93/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.93/1.33 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.93/1.33 ) ],
% 0.93/1.33 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X,
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 0.93/1.33 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 0.93/1.33 Y, Z, X ) ) ) ],
% 0.93/1.33 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.93/1.33 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.93/1.33 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.93/1.33 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.93/1.33 hAPP( X, Y ), Z ), T ) ) ],
% 0.93/1.33 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X,
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.93/1.33 hAPP( X, Y ), Z ), T ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.93/1.33 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.93/1.33 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.93/1.33 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.93/1.33 [ =( 'c_COMBS'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.93/1.33 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.93/1.33 [ =( 'c_COMBC'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.93/1.33 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 0.93/1.33 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.93/1.33 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.93/1.33 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.93/1.33 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 0.93/1.33 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.93/1.33 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 0.93/1.33 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.93/1.33 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 0.93/1.33 ],
% 0.93/1.33 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.93/1.33 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.93/1.33 , 'tc_bool' ) ) ) ],
% 0.93/1.33 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.93/1.33 ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.33 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.93/1.33 , Y ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.93/1.33 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.93/1.33 ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.93/1.33 ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.93/1.33 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.93/1.33 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.93/1.33 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.93/1.33 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.93/1.33 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.93/1.33 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.33 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.93/1.33 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.93/1.33 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.93/1.33 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.93/1.33 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.93/1.33 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.93/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.93/1.33 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.93/1.33 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.93/1.33 ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.93/1.33 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.93/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.93/1.33 'c_in'( Y, Z, X ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.93/1.33 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.93/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.93/1.33 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.33 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.93/1.33 , Y ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.93/1.33 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.93/1.33 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.93/1.33 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.93/1.33 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.93/1.33 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.93/1.33 ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.93/1.33 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.93/1.33 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.93/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.93/1.33 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.93/1.33 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.93/1.33 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.93/1.33 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.93/1.33 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.93/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.93/1.33 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.93/1.33 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.93/1.33 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.93/1.33 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.93/1.33 ) ), Y ) ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.93/1.33 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.93/1.33 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.93/1.33 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.93/1.33 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.93/1.33 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.93/1.33 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.93/1.33 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.93/1.33 hBOOL( hAPP( Z, T ) ) ) ],
% 0.93/1.33 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P_H', 'v_c', 'v_Q_H', 't_a' ) )
% 0.93/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ],
% 0.93/1.33 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.93/1.33 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.93/1.33 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 'v_Q', 't_a' ) ),
% 0.93/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.93/1.33 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.93/1.33 [ hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), hBOOL( hAPP( hAPP( 'v_P_H',
% 0.93/1.33 'v_Z'( X, Z, Y ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ hBOOL( hAPP( hAPP( 'v_Q', X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'v_Q_H',
% 0.93/1.33 'v_Z'( X, Z, Y ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), Z ) ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.93/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.93/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.93/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.93/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.93/1.33 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.93/1.33 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.93/1.33 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Orderings_Opreorder'( Y ) ) ],
% 0.93/1.33 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Lattices_Olattice'( Y ) ) ],
% 0.93/1.33 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.93/1.33 'class_Orderings_Oorder'( Y ) ) ],
% 0.93/1.33 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.93/1.33 Y ) ) ],
% 0.93/1.33 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.93/1.33 ,
% 0.93/1.33 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.93/1.33 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.93/1.33 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.93/1.33 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.93/1.33 ] .
% 0.93/1.33
% 0.93/1.33
% 0.93/1.33 percentage equality = 0.326042, percentage horn = 0.904255
% 0.93/1.33 This is a problem with some equality
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78
% 1.41/1.78 Options Used:
% 1.41/1.78
% 1.41/1.78 useres = 1
% 1.41/1.78 useparamod = 1
% 1.41/1.78 useeqrefl = 1
% 1.41/1.78 useeqfact = 1
% 1.41/1.78 usefactor = 1
% 1.41/1.78 usesimpsplitting = 0
% 1.41/1.78 usesimpdemod = 5
% 1.41/1.78 usesimpres = 3
% 1.41/1.78
% 1.41/1.78 resimpinuse = 1000
% 1.41/1.78 resimpclauses = 20000
% 1.41/1.78 substype = eqrewr
% 1.41/1.78 backwardsubs = 1
% 1.41/1.78 selectoldest = 5
% 1.41/1.78
% 1.41/1.78 litorderings [0] = split
% 1.41/1.78 litorderings [1] = extend the termordering, first sorting on arguments
% 1.41/1.78
% 1.41/1.78 termordering = kbo
% 1.41/1.78
% 1.41/1.78 litapriori = 0
% 1.41/1.78 termapriori = 1
% 1.41/1.78 litaposteriori = 0
% 1.41/1.78 termaposteriori = 0
% 1.41/1.78 demodaposteriori = 0
% 1.41/1.78 ordereqreflfact = 0
% 1.41/1.78
% 1.41/1.78 litselect = negord
% 1.41/1.78
% 1.41/1.78 maxweight = 15
% 1.41/1.78 maxdepth = 30000
% 1.41/1.78 maxlength = 115
% 1.41/1.78 maxnrvars = 195
% 1.41/1.78 excuselevel = 1
% 1.41/1.78 increasemaxweight = 1
% 1.41/1.78
% 1.41/1.78 maxselected = 10000000
% 1.41/1.78 maxnrclauses = 10000000
% 1.41/1.78
% 1.41/1.78 showgenerated = 0
% 1.41/1.78 showkept = 0
% 1.41/1.78 showselected = 0
% 1.41/1.78 showdeleted = 0
% 1.41/1.78 showresimp = 1
% 1.41/1.78 showstatus = 2000
% 1.41/1.78
% 1.41/1.78 prologoutput = 1
% 1.41/1.78 nrgoals = 5000000
% 1.41/1.78 totalproof = 1
% 1.41/1.78
% 1.41/1.78 Symbols occurring in the translation:
% 1.41/1.78
% 1.41/1.78 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.41/1.78 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 1.41/1.78 ! [4, 1] (w:0, o:100, a:1, s:1, b:0),
% 1.41/1.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.41/1.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.41/1.78 'c_COMBI' [40, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.41/1.78 'c_Set_Oimage' [41, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.41/1.78 hAPP [43, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.41/1.78 'c_Com_Ocom_OWhile' [46, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.41/1.78 'c_Com_Ocom_OSKIP' [47, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.41/1.78 'class_Lattices_Olower__semilattice' [48, 1] (w:1, o:106, a:1, s:1
% 1.41/1.78 , b:0),
% 1.41/1.78 'c_lessequals' [51, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.41/1.78 'c_in' [53, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.41/1.78 hBOOL [54, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.41/1.78 'c_Lattices_Olower__semilattice__class_Oinf' [55, 1] (w:1, o:108, a:1
% 1.41/1.78 , s:1, b:0),
% 1.41/1.78 'c_Finite__Set_Ofold1' [56, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.41/1.78 'tc_bool' [57, 0] (w:1, o:20, a:1, s:1, b:0),
% 1.41/1.78 'tc_fun' [58, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.41/1.78 'c_Orderings_Obot__class_Obot' [59, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.41/1.78 'c_Finite__Set_Ofinite' [60, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.41/1.78 'c_Set_Oinsert' [62, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.41/1.78 'c_COMBB' [65, 5] (w:1, o:192, a:1, s:1, b:0),
% 1.41/1.78 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [66, 4] (w:1
% 1.41/1.78 , o:183, a:1, s:1, b:0),
% 1.41/1.78 'c_HOL_Ominus__class_Ominus' [68, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.41/1.78 'c_Fun_Oinj__on' [70, 4] (w:1, o:184, a:1, s:1, b:0),
% 1.41/1.78 'class_Complete__Lattice_Ocomplete__lattice' [71, 1] (w:1, o:111, a:1
% 1.41/1.78 , s:1, b:0),
% 1.41/1.78 'c_Complete__Lattice_OInf__class_OInf' [72, 2] (w:1, o:157, a:1, s:1
% 1.41/1.78 , b:0),
% 1.41/1.78 'c_Finite__Set_Ofold1Set' [75, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.41/1.78 'c_The' [76, 2] (w:1, o:160, a:1, s:1, b:0),
% 1.41/1.78 'c_COMBK' [79, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.41/1.78 'class_Lattices_Olattice' [80, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.41/1.78 't_a' [81, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.41/1.78 'c_Lattices_Oupper__semilattice__class_Osup' [82, 1] (w:1, o:113, a:1
% 1.41/1.78 , s:1, b:0),
% 1.41/1.78 'v_x' [84, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.41/1.78 'c_Fun_Ocomp' [86, 5] (w:1, o:193, a:1, s:1, b:0),
% 1.41/1.78 'class_Lattices_Odistrib__lattice' [87, 1] (w:1, o:114, a:1, s:1, b:0
% 1.41/1.78 ),
% 1.41/1.78 'c_Collect' [91, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.41/1.78 'class_Lattices_Oupper__semilattice' [92, 1] (w:1, o:115, a:1, s:1
% 1.41/1.78 , b:0),
% 1.41/1.78 'c_COMBC' [96, 6] (w:1, o:194, a:1, s:1, b:0),
% 1.41/1.78 'c_COMBS' [97, 6] (w:1, o:195, a:1, s:1, b:0),
% 1.41/1.78 'class_OrderedGroup_Oab__group__add' [98, 1] (w:1, o:116, a:1, s:1
% 1.41/1.78 , b:0),
% 1.41/1.78 'class_Orderings_Olinorder' [101, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.41/1.78 'c_Finite__Set_Olinorder__class_OMax' [102, 2] (w:1, o:161, a:1, s:1
% 1.41/1.78 , b:0),
% 1.41/1.78 'c_Orderings_Olinorder' [106, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.41/1.78 'c_SetInterval_Oord__class_OlessThan' [107, 2] (w:1, o:158, a:1, s:1
% 1.41/1.78 , b:0),
% 1.41/1.78 'c_Com_Ocom_OCond' [111, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.41/1.78 'c_Set_Ovimage' [112, 3] (w:1, o:177, a:1, s:1, b:0),
% 10.38/10.78 'class_HOL_Ominus' [113, 1] (w:1, o:118, a:1, s:1, b:0),
% 10.38/10.78 'c_OrderedGroup_Oab__semigroup__mult' [115, 2] (w:1, o:163, a:1, s:1
% 10.38/10.78 , b:0),
% 10.38/10.78 'c_Finite__Set_Ofun__left__comm__idem' [116, 3] (w:1, o:178, a:1, s:1
% 10.38/10.78 , b:0),
% 10.38/10.78 'c_Com_Ocom_OSemi' [119, 2] (w:1, o:164, a:1, s:1, b:0),
% 10.38/10.78 'c_Complete__Lattice_OSup__class_OSup' [120, 2] (w:1, o:165, a:1, s:1
% 10.38/10.78 , b:0),
% 10.38/10.78 'class_Orderings_Oorder' [126, 1] (w:1, o:119, a:1, s:1, b:0),
% 10.38/10.78 'c_SetInterval_Oord__class_OatLeastAtMost' [127, 3] (w:1, o:179, a:1
% 10.38/10.78 , s:1, b:0),
% 10.38/10.78 'c_Finite__Set_Olinorder__class_OMin' [132, 2] (w:1, o:166, a:1, s:1
% 10.38/10.78 , b:0),
% 10.38/10.78 'c_Complete__Lattice_Ocomplete__lattice' [139, 9] (w:1, o:198, a:1
% 10.38/10.78 , s:1, b:0),
% 10.38/10.78 'class_Finite__Set_Ofinite_Ofinite' [141, 1] (w:1, o:120, a:1, s:1
% 10.38/10.78 , b:0),
% 10.38/10.78 'class_HOL_Oord' [143, 1] (w:1, o:121, a:1, s:1, b:0),
% 10.38/10.78 'class_Lattices_Obounded__lattice' [144, 1] (w:1, o:122, a:1, s:1, b:
% 10.38/10.78 0),
% 10.38/10.78 'class_Orderings_Obot' [145, 1] (w:1, o:123, a:1, s:1, b:0),
% 10.38/10.78 'class_Orderings_Opreorder' [148, 1] (w:1, o:124, a:1, s:1, b:0),
% 10.38/10.78 'c_fequal' [153, 2] (w:1, o:167, a:1, s:1, b:0),
% 10.38/10.78 'class_OrderedGroup_Opordered__ab__group__add' [154, 1] (w:1, o:125
% 10.38/10.78 , a:1, s:1, b:0),
% 10.38/10.78 'v_P' [156, 0] (w:1, o:85, a:1, s:1, b:0),
% 10.38/10.78 't_b' [160, 0] (w:1, o:86, a:1, s:1, b:0),
% 10.38/10.78 'c_Hoare__Mirabelle_Otriple_Otriple' [161, 4] (w:1, o:185, a:1, s:1
% 10.38/10.78 , b:0),
% 10.38/10.78 'c_Hoare__Mirabelle_Otriple_Otriple__case' [162, 4] (w:1, o:186, a:1
% 10.38/10.78 , s:1, b:0),
% 10.38/10.78 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [165, 4] (w:1, o:187, a:1
% 10.38/10.78 , s:1, b:0),
% 10.38/10.78 'c_Hoare__Mirabelle_Ohoare__derivs' [167, 3] (w:1, o:180, a:1, s:1
% 10.38/10.78 , b:0),
% 10.38/10.78 'tc_Hoare__Mirabelle_Otriple' [169, 1] (w:1, o:126, a:1, s:1, b:0),
% 10.38/10.78 'v_Q' [170, 0] (w:1, o:88, a:1, s:1, b:0),
% 10.38/10.78 't_c' [171, 0] (w:1, o:89, a:1, s:1, b:0),
% 10.38/10.78 'v_R' [172, 0] (w:1, o:91, a:1, s:1, b:0),
% 10.38/10.78 'c_Not' [173, 0] (w:1, o:92, a:1, s:1, b:0),
% 10.38/10.78 'tc_Com_Ostate' [174, 0] (w:1, o:93, a:1, s:1, b:0),
% 10.38/10.78 'c_Hoare__Mirabelle_Opeek__and' [175, 3] (w:1, o:181, a:1, s:1, b:0)
% 10.38/10.78 ,
% 10.38/10.78 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [176, 2] (w:1, o:162, a:1
% 10.38/10.78 , s:1, b:0),
% 10.38/10.78 'c_Set_Ocontents' [177, 2] (w:1, o:159, a:1, s:1, b:0),
% 10.38/10.78 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [179, 6] (w:1
% 10.38/10.78 , o:196, a:1, s:1, b:0),
% 10.38/10.78 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [180, 4] (w:1
% 10.38/10.78 , o:189, a:1, s:1, b:0),
% 10.38/10.78 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [181, 6] (w:
% 10.38/10.78 1, o:197, a:1, s:1, b:0),
% 10.38/10.78 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [182, 4] (w:
% 10.38/10.78 1, o:191, a:1, s:1, b:0),
% 10.38/10.78 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [183, 4] (w:
% 10.38/10.78 1, o:190, a:1, s:1, b:0),
% 10.38/10.78 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [184, 4] (w:1
% 10.38/10.78 , o:188, a:1, s:1, b:0),
% 10.38/10.78 'v_G' [188, 0] (w:1, o:96, a:1, s:1, b:0),
% 10.38/10.78 'v_P_H' [189, 0] (w:1, o:87, a:1, s:1, b:0),
% 10.38/10.78 'v_c' [190, 0] (w:1, o:97, a:1, s:1, b:0),
% 10.38/10.78 'v_Q_H' [191, 0] (w:1, o:90, a:1, s:1, b:0),
% 10.38/10.78 'v_Z' [195, 3] (w:1, o:182, a:1, s:1, b:0).
% 10.38/10.78
% 10.38/10.78
% 10.38/10.78 Starting Search:
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78
% 10.38/10.78 Intermediate Status:
% 10.38/10.78 Generated: 3896
% 10.38/10.78 Kept: 2334
% 10.38/10.78 Inuse: 173
% 10.38/10.78 Deleted: 6
% 10.38/10.78 Deletedinuse: 0
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78
% 10.38/10.78 Intermediate Status:
% 10.38/10.78 Generated: 12198
% 10.38/10.78 Kept: 4637
% 10.38/10.78 Inuse: 257
% 10.38/10.78 Deleted: 10
% 10.38/10.78 Deletedinuse: 1
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78
% 10.38/10.78 Intermediate Status:
% 10.38/10.78 Generated: 21924
% 10.38/10.78 Kept: 7184
% 10.38/10.78 Inuse: 320
% 10.38/10.78 Deleted: 16
% 10.38/10.78 Deletedinuse: 6
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78
% 10.38/10.78 Intermediate Status:
% 10.38/10.78 Generated: 31434
% 10.38/10.78 Kept: 9193
% 10.38/10.78 Inuse: 360
% 10.38/10.78 Deleted: 19
% 10.38/10.78 Deletedinuse: 7
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78
% 10.38/10.78 Intermediate Status:
% 10.38/10.78 Generated: 42400
% 10.38/10.78 Kept: 11456
% 10.38/10.78 Inuse: 390
% 10.38/10.78 Deleted: 23
% 10.38/10.78 Deletedinuse: 7
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78 Resimplifying inuse:
% 10.38/10.78 Done
% 10.38/10.78
% 10.38/10.78
% 10.38/10.78 Intermediate Status:
% 10.38/10.78 Generated: 50607
% 10.38/10.78 Kept: 13495
% 36.63/37.02 Inuse: 431
% 36.63/37.02 Deleted: 33
% 36.63/37.02 Deletedinuse: 8
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 62441
% 36.63/37.02 Kept: 16279
% 36.63/37.02 Inuse: 460
% 36.63/37.02 Deleted: 51
% 36.63/37.02 Deletedinuse: 10
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 79978
% 36.63/37.02 Kept: 18841
% 36.63/37.02 Inuse: 493
% 36.63/37.02 Deleted: 56
% 36.63/37.02 Deletedinuse: 13
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying clauses:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 91671
% 36.63/37.02 Kept: 20916
% 36.63/37.02 Inuse: 528
% 36.63/37.02 Deleted: 265
% 36.63/37.02 Deletedinuse: 15
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 100824
% 36.63/37.02 Kept: 23081
% 36.63/37.02 Inuse: 557
% 36.63/37.02 Deleted: 270
% 36.63/37.02 Deletedinuse: 15
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 107541
% 36.63/37.02 Kept: 25162
% 36.63/37.02 Inuse: 569
% 36.63/37.02 Deleted: 295
% 36.63/37.02 Deletedinuse: 17
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 117685
% 36.63/37.02 Kept: 27318
% 36.63/37.02 Inuse: 602
% 36.63/37.02 Deleted: 296
% 36.63/37.02 Deletedinuse: 18
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 138407
% 36.63/37.02 Kept: 29988
% 36.63/37.02 Inuse: 634
% 36.63/37.02 Deleted: 296
% 36.63/37.02 Deletedinuse: 18
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 155379
% 36.63/37.02 Kept: 32504
% 36.63/37.02 Inuse: 684
% 36.63/37.02 Deleted: 296
% 36.63/37.02 Deletedinuse: 18
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 168233
% 36.63/37.02 Kept: 34690
% 36.63/37.02 Inuse: 719
% 36.63/37.02 Deleted: 296
% 36.63/37.02 Deletedinuse: 18
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 182938
% 36.63/37.02 Kept: 36690
% 36.63/37.02 Inuse: 774
% 36.63/37.02 Deleted: 303
% 36.63/37.02 Deletedinuse: 24
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 197012
% 36.63/37.02 Kept: 38766
% 36.63/37.02 Inuse: 817
% 36.63/37.02 Deleted: 304
% 36.63/37.02 Deletedinuse: 24
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 228624
% 36.63/37.02 Kept: 42059
% 36.63/37.02 Inuse: 851
% 36.63/37.02 Deleted: 305
% 36.63/37.02 Deletedinuse: 24
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying clauses:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 240697
% 36.63/37.02 Kept: 44360
% 36.63/37.02 Inuse: 861
% 36.63/37.02 Deleted: 701
% 36.63/37.02 Deletedinuse: 24
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 252861
% 36.63/37.02 Kept: 46380
% 36.63/37.02 Inuse: 890
% 36.63/37.02 Deleted: 701
% 36.63/37.02 Deletedinuse: 24
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 266594
% 36.63/37.02 Kept: 48403
% 36.63/37.02 Inuse: 918
% 36.63/37.02 Deleted: 701
% 36.63/37.02 Deletedinuse: 24
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 280314
% 36.63/37.02 Kept: 50871
% 36.63/37.02 Inuse: 938
% 36.63/37.02 Deleted: 719
% 36.63/37.02 Deletedinuse: 29
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 296704
% 36.63/37.02 Kept: 53744
% 36.63/37.02 Inuse: 953
% 36.63/37.02 Deleted: 720
% 36.63/37.02 Deletedinuse: 30
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 308901
% 36.63/37.02 Kept: 56764
% 36.63/37.02 Inuse: 963
% 36.63/37.02 Deleted: 720
% 36.63/37.02 Deletedinuse: 30
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 323373
% 36.63/37.02 Kept: 58981
% 36.63/37.02 Inuse: 988
% 36.63/37.02 Deleted: 720
% 36.63/37.02 Deletedinuse: 30
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 361195
% 36.63/37.02 Kept: 62415
% 36.63/37.02 Inuse: 1009
% 36.63/37.02 Deleted: 720
% 36.63/37.02 Deletedinuse: 30
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying clauses:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 375383
% 36.63/37.02 Kept: 65312
% 36.63/37.02 Inuse: 1023
% 36.63/37.02 Deleted: 1242
% 36.63/37.02 Deletedinuse: 30
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 387632
% 36.63/37.02 Kept: 67366
% 36.63/37.02 Inuse: 1041
% 36.63/37.02 Deleted: 1242
% 36.63/37.02 Deletedinuse: 30
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 401850
% 36.63/37.02 Kept: 69544
% 36.63/37.02 Inuse: 1083
% 36.63/37.02 Deleted: 1242
% 36.63/37.02 Deletedinuse: 30
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02 Resimplifying inuse:
% 36.63/37.02 Done
% 36.63/37.02
% 36.63/37.02
% 36.63/37.02 Intermediate Status:
% 36.63/37.02 Generated: 414025
% 36.63/37.02 Kept: 71806
% 36.63/37.02 Inuse: 1108
% 147.23/147.65 Deleted: 1242
% 147.23/147.65 Deletedinuse: 30
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 436957
% 147.23/147.65 Kept: 74050
% 147.23/147.65 Inuse: 1143
% 147.23/147.65 Deleted: 1242
% 147.23/147.65 Deletedinuse: 30
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 449200
% 147.23/147.65 Kept: 76055
% 147.23/147.65 Inuse: 1180
% 147.23/147.65 Deleted: 1244
% 147.23/147.65 Deletedinuse: 32
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 459621
% 147.23/147.65 Kept: 78078
% 147.23/147.65 Inuse: 1193
% 147.23/147.65 Deleted: 1245
% 147.23/147.65 Deletedinuse: 33
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 475328
% 147.23/147.65 Kept: 80363
% 147.23/147.65 Inuse: 1233
% 147.23/147.65 Deleted: 1245
% 147.23/147.65 Deletedinuse: 33
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 491279
% 147.23/147.65 Kept: 82892
% 147.23/147.65 Inuse: 1241
% 147.23/147.65 Deleted: 1262
% 147.23/147.65 Deletedinuse: 43
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying clauses:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 505722
% 147.23/147.65 Kept: 85178
% 147.23/147.65 Inuse: 1271
% 147.23/147.65 Deleted: 2333
% 147.23/147.65 Deletedinuse: 43
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 524454
% 147.23/147.65 Kept: 87268
% 147.23/147.65 Inuse: 1286
% 147.23/147.65 Deleted: 2333
% 147.23/147.65 Deletedinuse: 43
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 536781
% 147.23/147.65 Kept: 89289
% 147.23/147.65 Inuse: 1314
% 147.23/147.65 Deleted: 2336
% 147.23/147.65 Deletedinuse: 44
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 549972
% 147.23/147.65 Kept: 91662
% 147.23/147.65 Inuse: 1347
% 147.23/147.65 Deleted: 2338
% 147.23/147.65 Deletedinuse: 44
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 556892
% 147.23/147.65 Kept: 94090
% 147.23/147.65 Inuse: 1357
% 147.23/147.65 Deleted: 2340
% 147.23/147.65 Deletedinuse: 46
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 572294
% 147.23/147.65 Kept: 97009
% 147.23/147.65 Inuse: 1362
% 147.23/147.65 Deleted: 2340
% 147.23/147.65 Deletedinuse: 46
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 585306
% 147.23/147.65 Kept: 99016
% 147.23/147.65 Inuse: 1390
% 147.23/147.65 Deleted: 2340
% 147.23/147.65 Deletedinuse: 46
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 609303
% 147.23/147.65 Kept: 101398
% 147.23/147.65 Inuse: 1406
% 147.23/147.65 Deleted: 2343
% 147.23/147.65 Deletedinuse: 48
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying clauses:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 626446
% 147.23/147.65 Kept: 103412
% 147.23/147.65 Inuse: 1449
% 147.23/147.65 Deleted: 2967
% 147.23/147.65 Deletedinuse: 49
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 663092
% 147.23/147.65 Kept: 105942
% 147.23/147.65 Inuse: 1476
% 147.23/147.65 Deleted: 2969
% 147.23/147.65 Deletedinuse: 51
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 695018
% 147.23/147.65 Kept: 109047
% 147.23/147.65 Inuse: 1486
% 147.23/147.65 Deleted: 2970
% 147.23/147.65 Deletedinuse: 52
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 711571
% 147.23/147.65 Kept: 112247
% 147.23/147.65 Inuse: 1491
% 147.23/147.65 Deleted: 2970
% 147.23/147.65 Deletedinuse: 52
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 727875
% 147.23/147.65 Kept: 114881
% 147.23/147.65 Inuse: 1492
% 147.23/147.65 Deleted: 2975
% 147.23/147.65 Deletedinuse: 57
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 738111
% 147.23/147.65 Kept: 116898
% 147.23/147.65 Inuse: 1521
% 147.23/147.65 Deleted: 3221
% 147.23/147.65 Deletedinuse: 303
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 831687
% 147.23/147.65 Kept: 118908
% 147.23/147.65 Inuse: 1582
% 147.23/147.65 Deleted: 3222
% 147.23/147.65 Deletedinuse: 304
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 877903
% 147.23/147.65 Kept: 121121
% 147.23/147.65 Inuse: 1655
% 147.23/147.65 Deleted: 3264
% 147.23/147.65 Deletedinuse: 346
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying clauses:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 919781
% 147.23/147.65 Kept: 123151
% 147.23/147.65 Inuse: 1714
% 147.23/147.65 Deleted: 13556
% 147.23/147.65 Deletedinuse: 346
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 960438
% 147.23/147.65 Kept: 126161
% 147.23/147.65 Inuse: 1754
% 147.23/147.65 Deleted: 13558
% 147.23/147.65 Deletedinuse: 347
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65
% 147.23/147.65 Intermediate Status:
% 147.23/147.65 Generated: 1022575
% 147.23/147.65 Kept: 128209
% 147.23/147.65 Inuse: 1797
% 147.23/147.65 Deleted: 13607
% 147.23/147.65 Deletedinuse: 349
% 147.23/147.65
% 147.23/147.65 Resimplifying inuse:
% 147.23/147.65 Done
% 147.23/147.65
% 147.23/147.65 ResiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------