TSTP Solution File: SWV831-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV831-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 16:28:43 EDT 2022
% Result : Timeout 300.03s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV831-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Wed Jun 15 04:24:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.86/1.21 *** allocated 10000 integers for termspace/termends
% 0.86/1.21 *** allocated 10000 integers for clauses
% 0.86/1.21 *** allocated 10000 integers for justifications
% 0.86/1.21 Bliksem 1.12
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Automatic Strategy Selection
% 0.86/1.21
% 0.86/1.21 Clauses:
% 0.86/1.21 [
% 0.86/1.21 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.86/1.21 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.86/1.21 T, X, Z ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.86/1.21 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.86/1.21 , 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.86/1.21 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.86/1.21 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.86/1.21 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.86/1.21 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.21 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.86/1.21 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.86/1.21 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.21 Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.86/1.21 'c_Set_Ovimage'( Y, 'c_Set_Ovimage'( X, W, Z, T ), U, Z ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.21 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.21 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z,
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'(
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.86/1.21 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.86/1.21 , V3, V4, U ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.86/1.21 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.86/1.21 , V3, V4, U ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.86/1.21 'c_in'( Y, X, T ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.86/1.21 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.86/1.21 'c_in'( Y, X, T ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.86/1.21 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.86/1.21 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.86/1.21 , T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.86/1.21 , T ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.86/1.21 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.86/1.21 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.86/1.21 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.86/1.21 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.86/1.21 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.21 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.86/1.21 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.86/1.21 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.86/1.21 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.21 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.86/1.21 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.21 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.21 , T, X ) ) ), =( Z, T ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.21 , T, X ) ) ), =( Y, Z ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.86/1.21 [ =( 'c_COMBS'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), hAPP( Y, Z ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.86/1.21 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), X ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.86/1.21 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 0.86/1.21 T ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.86/1.21 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.86/1.21 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.86/1.21 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.86/1.21 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.86/1.21 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.86/1.21 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.86/1.21 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( hAPP( X, Y ),
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.86/1.21 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.86/1.21 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.86/1.21 , V2, Z, Y ) ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.86/1.21 , Z, V2, Y ) ) ],
% 0.86/1.21 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 0.86/1.21 ), =( X, U ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.86/1.21 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.86/1.21 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.86/1.21 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.86/1.21 , T ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.86/1.21 , Z ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( X ), X ), 'c_Orderings_Otop__class_Otop'(
% 0.86/1.21 X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( X ), Y, X ),
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.21 ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( Z, U, W ) ) ), ~( 'c_lessequals'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.86/1.21 ), X ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 0.86/1.21 , ~( hBOOL( 'c_in'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), T ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( T, hAPP( U, X ), W ) )
% 0.86/1.21 , ~( hBOOL( 'c_in'( T,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, U, Z, 'tc_fun'(
% 0.86/1.21 W, 'tc_bool' ) ), W ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 0.86/1.21 , ~( hBOOL( 'c_in'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), T ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.86/1.21 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.86/1.21 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.86/1.21 , =( Z, W ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.86/1.21 , =( Y, U ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.86/1.21 , =( X, T ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.21 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.21 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ],
% 0.86/1.21 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.86/1.21 =( X, Z ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.86/1.21 =( Y, T ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ),
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice_OSUPR'( T, U, Y, W, V0 ) ) ), ~(
% 0.86/1.21 hBOOL( 'c_in'( Z, U, V0 ) ) ), ~(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice'( V1, T, X, V2, V3, V4, V5, V6, W
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.86/1.21 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.21 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.21 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.86/1.21 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.21 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.86/1.21 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.86/1.21 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.86/1.21 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.86/1.21 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.86/1.21 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.86/1.21 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, X, W, Y, V0, V1 ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, X, W, V0, Y, V1 ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, W, X, Y, V0, V1 ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, W, X, V0, Y, V1 ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, X, W, Z, V0, V1 ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, X, W, V0, Z, V1 ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, W, X, Z, V0, V1 ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Lattices_Obounded__lattice'( T
% 0.86/1.21 , U, W, X, V0, Z, V1 ) ) ],
% 0.86/1.21 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 0.86/1.21 V0 ), V1 ) ), =( W, hAPP( hAPP( Z, W ), V0 ) ) ],
% 0.86/1.21 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, U, hAPP( hAPP( Z, W ),
% 0.86/1.21 V0 ), V1 ) ), =( V0, hAPP( hAPP( Z, W ), V0 ) ) ],
% 0.86/1.21 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 0.86/1.21 , V0, V1 ) ), =( U, hAPP( hAPP( T, U ), W ) ) ],
% 0.86/1.21 [ ~( 'c_Lattices_Obounded__lattice'( X, Y, Z, T, hAPP( hAPP( T, U ), W )
% 0.86/1.21 , V0, V1 ) ), =( W, hAPP( hAPP( T, U ), W ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.86/1.21 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.86/1.21 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.86/1.21 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.86/1.21 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.86/1.21 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.86/1.21 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.86/1.21 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.86/1.21 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.86/1.21 , V2, Z, Y ) ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.86/1.21 , Z, V2, Y ) ) ],
% 0.86/1.21 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.21 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.21 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.86/1.21 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.86/1.21 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), X ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Y ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.21 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.21 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.21 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.21 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.86/1.21 ) ), Z, X ) ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.86/1.21 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.86/1.21 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.86/1.21 'c_in'( X, Y, Z ) ) ) ],
% 0.86/1.21 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.86/1.21 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.86/1.21 T ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), X ), X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.86/1.21 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.86/1.21 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.86/1.21 , Z ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.86/1.21 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.86/1.21 X, Z, T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.86/1.21 X, Z, T ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.86/1.21 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.86/1.21 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.86/1.21 V2, V3, V4, T ) ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.86/1.21 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.86/1.21 , U, V3, V4, T ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.86/1.21 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.86/1.21 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), T ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.86/1.21 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Z ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.86/1.21 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.86/1.21 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.86/1.21 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.86/1.21 X ), Y ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 0.86/1.21 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.86/1.21 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.86/1.21 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP(
% 0.86/1.21 Z, U ), X ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.21 X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.86/1.21 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Otop__class_Otop'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.86/1.21 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Otop__class_Otop'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.86/1.21 ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.86/1.21 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.86/1.21 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.21 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.86/1.21 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.86/1.21 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.86/1.21 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.86/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.86/1.21 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.86/1.21 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, 'c_Complete__Lattice_Ocomplete__lattice_OINFI'(
% 0.86/1.21 Y, Z, T, U, W ) ), hAPP( T, V0 ) ) ), ~( hBOOL( 'c_in'( V0, Z, W ) ) ),
% 0.86/1.21 ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, V1, X, V2, V3, V4, V5, V6
% 0.86/1.21 , U ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.86/1.21 Z, Y, X ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.86/1.21 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.86/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( Y, Z ) ) ) ), ~(
% 0.86/1.21 'c_Record_Oiso__tuple__update__accessor__cong__assist'( U, Y, W, V0 ) ),
% 0.86/1.21 =( hAPP( hAPP( U, X ), Z ), hAPP( hAPP( U, T ), Z ) ) ],
% 0.86/1.21 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~(
% 0.86/1.21 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ),
% 0.86/1.21 =( hAPP( hAPP( T, X ), Z ), Z ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Otop__class_Otop'(
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.86/1.21 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.86/1.21 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.86/1.21 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.86/1.21 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.86/1.21 , 'v_x' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.86/1.21 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( X, T, Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.86/1.21 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OInf__class_OInf'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.86/1.21 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.21 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.86/1.21 Y, X ), Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.21 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 T, X ), Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.86/1.21 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.86/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.21 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.86/1.21 Y, X ), Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.21 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 T, X ), Z, X ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.21 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.21 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.21 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.21 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.21 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.21 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.86/1.21 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.86/1.21 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.86/1.21 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 0.86/1.21 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 0.86/1.21 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( hAPP( hAPP( T, X ), U ) ), ~(
% 0.86/1.21 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T
% 0.86/1.21 , Z, 'tc_fun'( W, 'tc_bool' ) ), U ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 0.86/1.21 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 0.86/1.21 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.86/1.21 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.86/1.21 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.86/1.21 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ) ), ~(
% 0.86/1.21 'c_Record_Oiso__tuple__update__accessor__cong__assist'( T, Y, U, W ) ),
% 0.86/1.21 =( hAPP( hAPP( T, 'c_Fun_Ocomp'( V0, X, U, U, U ) ), Z ), hAPP( hAPP( T,
% 0.86/1.21 V0 ), Z ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 'c_Inductive_Ocomplete__lattice__class_Olfp'( Y, X ), Z, X ), ~(
% 0.86/1.21 'c_lessequals'( hAPP( Y, Z ), Z, X ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.86/1.21 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.86/1.21 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.86/1.21 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.86/1.21 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.86/1.21 , V4 ), W ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.86/1.21 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.86/1.21 X, T, U ), Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.86/1.21 hAPP( X, U ) ) ) ) ],
% 0.86/1.21 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.86/1.21 'c_in'( X, T, Y ) ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.86/1.21 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.86/1.21 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.86/1.21 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.21 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.21 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.86/1.21 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.86/1.21 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.86/1.21 'tc_bool' ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.86/1.21 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.86/1.21 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.21 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.86/1.21 Y, Z, X ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.21 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.21 [ 'c_Lattices_Obounded__lattice'( 'c_COMBC'( X, Y, Y, 'tc_bool' ),
% 0.86/1.21 'c_COMBC'( Z, Y, Y, 'tc_bool' ), T, U, W, V0, Y ), ~(
% 0.86/1.21 'c_Lattices_Obounded__lattice'( X, Z, U, T, V0, W, Y ) ) ],
% 0.86/1.21 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.86/1.21 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'c_Orderings_Oorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z, Y
% 0.86/1.21 , Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Oorder'( X, Z, Y ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice_OSUPR'( X, Y, 'c_COMBK'( Z
% 0.86/1.21 , T, U ), T, U ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U
% 0.86/1.21 , 'tc_bool' ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0
% 0.86/1.21 , V1, V2, V3, V4, V5, T ) ) ],
% 0.86/1.21 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.86/1.21 'c_in'( X, T, Y ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice_OINFI'( X, Y, 'c_COMBK'( Z
% 0.86/1.21 , T, U ), T, U ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U
% 0.86/1.21 , 'tc_bool' ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0
% 0.86/1.21 , V1, V2, V3, V4, V5, T ) ) ],
% 0.86/1.21 [ =( 'c_Finite__Set_Ocard'( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X
% 0.86/1.21 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.86/1.21 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), Y ), Y, T ), 'tc_prod'( Y, T ) )
% 0.86/1.21 , 'c_Finite__Set_Ocard'( Z, T ) ) ],
% 0.86/1.21 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.86/1.21 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Inductive_Ocomplete__lattice__class_Olfp'( 'c_COMBK'( Y, X, X ), X ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, 'c_COMBK'( hAPP( Y, hAPP( Z, T ) ), U, U ) ), T ),
% 0.86/1.21 hAPP( hAPP( X, Y ), T ) ), ~(
% 0.86/1.21 'c_Record_Oiso__tuple__update__accessor__cong__assist'( X, Z, U, W ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.86/1.21 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.86/1.21 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.86/1.21 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.86/1.21 hAPP( X, Y ), Z ), T ) ) ],
% 0.86/1.21 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X,
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.86/1.21 hAPP( X, Y ), Z ), T ) ) ],
% 0.86/1.21 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.86/1.21 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.86/1.21 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.86/1.21 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.86/1.21 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.86/1.21 [ =( 'c_COMBS'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.86/1.21 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.86/1.21 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.86/1.21 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OWhile'( Z, T ),
% 0.86/1.21 'c_Hoare__Mirabelle_Opeek__and'( Y, 'c_Fun_Ocomp'( 'c_Not', Z, 'tc_bool'
% 0.86/1.21 , 'tc_bool', 'tc_Com_Ostate' ), U ), U ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ),
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~(
% 0.86/1.21 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.86/1.21 , Z, U ), T, Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ),
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.86/1.21 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 U ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ), ~(
% 0.86/1.21 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OBODY'( Z ), T, U )
% 0.86/1.21 , X, 'tc_Hoare__Mirabelle_Otriple'( U ) ), 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Option_Othe'( 'c_Com_Obody'(
% 0.86/1.21 Z ), 'tc_Com_Ocom' ), T, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( U ), 'tc_bool' ) ),
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( U ) ), U ) ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OCond'( Z, T, U ), W
% 0.86/1.21 , V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( V0 ), 'tc_bool' ) ),
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( V0 ) ), V0 ), ~(
% 0.86/1.21 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.86/1.21 , 'c_Fun_Ocomp'( 'c_Not', Z, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), V0
% 0.86/1.21 ), U, W, V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( V0 ), 'tc_bool' ) ),
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( V0 ) ), V0 ) ), ~(
% 0.86/1.21 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Y
% 0.86/1.21 , Z, V0 ), T, W, V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( V0 ), 'tc_bool' ) ),
% 0.86/1.21 'tc_Hoare__Mirabelle_Otriple'( V0 ) ), V0 ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.86/1.21 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.86/1.21 Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.86/1.21 ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.86/1.21 ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.86/1.21 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.86/1.21 ],
% 0.86/1.21 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.86/1.21 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.86/1.21 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.86/1.21 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.86/1.21 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.86/1.21 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.86/1.21 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.21 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.86/1.21 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.86/1.21 ],
% 0.86/1.21 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ),
% 0.86/1.21 ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.86/1.21 ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.86/1.21 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.86/1.21 Y, Z ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.86/1.21 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.86/1.21 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'( Z, X
% 0.86/1.21 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.21 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.86/1.21 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'(
% 0.86/1.21 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.86/1.21 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.86/1.21 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.86/1.21 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.86/1.21 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 , hBOOL( hAPP( hAPP( U, W ),
% 0.86/1.21 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.86/1.21 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.86/1.21 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.86/1.21 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y,
% 0.86/1.21 V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.86/1.21 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~(
% 0.86/1.21 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 , hBOOL( hAPP( hAPP( U, W ),
% 0.86/1.21 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.86/1.21 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.86/1.21 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.86/1.21 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 , hBOOL( hAPP( hAPP( Y,
% 0.86/1.21 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.86/1.21 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 , ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.21 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.86/1.21 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.86/1.21 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.21 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.21 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , hBOOL( hAPP( hAPP( Y,
% 0.86/1.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.86/1.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 0.86/1.22 , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 0.86/1.22 , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 0.86/1.22 , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.86/1.22 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.86/1.22 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.86/1.22 ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 0.86/1.22 , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ),
% 0.86/1.22 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.86/1.22 ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.86/1.22 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.86/1.22 , 'tc_bool' ) ), X ) ) ],
% 0.86/1.22 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.86/1.22 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.86/1.22 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.86/1.22 ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 0.86/1.22 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.22 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ),
% 0.86/1.22 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.86/1.22 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.86/1.22 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.86/1.22 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.22 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.86/1.22 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.86/1.22 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.86/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.86/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.86/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.86/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.22 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.86/1.22 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.22 ) ), Y ) ) ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.86/1.22 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.86/1.22 X, T ), Y ) ) ) ],
% 0.86/1.22 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.86/1.22 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.86/1.22 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.86/1.22 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.86/1.22 U ) ) ],
% 0.86/1.22 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.86/1.22 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.22 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.86/1.22 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.86/1.22 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.22 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.86/1.22 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.86/1.22 ) ) ],
% 0.86/1.22 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 'v_Q', 't_a' ),
% 0.86/1.22 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.22 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.86/1.22 ) ],
% 0.86/1.22 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'(
% 0.86/1.22 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 0.86/1.22 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 0.86/1.22 'tc_bool' ), X ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 'v_c'
% 0.86/1.22 , 'c_COMBK'( hAPP( 'v_Q', Y ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ),
% 0.86/1.22 't_a' ), 't_a' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.22 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.86/1.22 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.22 'v_P', Y ), X ) ) ) ],
% 0.86/1.22 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.86/1.22 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.22 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.86/1.22 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Orderings_Opreorder'( Y ) ) ],
% 0.86/1.22 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.22 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.22 'class_Orderings_Oorder'( Y ) ) ],
% 0.86/1.22 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.86/1.22 Y ) ) ],
% 0.86/1.22 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.86/1.22 Y ) ) ],
% 0.86/1.22 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.86/1.22 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.86/1.22 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.86/1.22 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.86/1.22 U ) ) ],
% 0.86/1.22 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.86/1.22 ,
% 0.86/1.22 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.86/1.22 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.86/1.22 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.86/1.22 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.86/1.22 ] .
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 percentage equality = 0.367320, percentage horn = 0.909320
% 0.86/1.22 This is a problem with some equality
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22
% 0.86/1.22 Options Used:
% 0.86/1.22
% 0.86/1.22 useres = 1
% 0.86/1.22 useparamod = 1
% 0.86/1.22 useeqrefl = 1
% 0.86/1.22 useeqfact = 1
% 0.86/1.22 usefactor = 1
% 0.86/1.22 usesimpsplitting = 0
% 0.86/1.22 usesimpdemod = 5
% 0.86/1.22 usesimpres = 3
% 0.86/1.22
% 0.86/1.22 resimpinuse = 1000
% 0.86/1.22 resimpclauses = 20000
% 0.86/1.22 substype = eqrewr
% 0.86/1.22 backwardsubs = 1
% 0.86/1.22 selectoldest = 5
% 0.86/1.22
% 0.86/1.22 litorderings [0] = split
% 0.86/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.22
% 0.86/1.22 termordering = kbo
% 0.86/1.22
% 0.86/1.22 litapriori = 0
% 0.86/1.22 termapriori = 1
% 0.86/1.22 litaposteriori = 0
% 0.86/1.22 termaposteriori = 0
% 0.86/1.22 demodaposteriori = 0
% 0.86/1.22 ordereqreflfact = 0
% 0.86/1.22
% 0.86/1.22 litselect = negord
% 0.86/1.22
% 0.86/1.22 maxweight = 15
% 0.86/1.22 maxdepth = 30000
% 0.86/1.22 maxlength = 115
% 0.86/1.22 maxnrvars = 195
% 0.86/1.22 excuselevel = 1
% 0.86/1.22 increasemaxweight = 1
% 0.86/1.22
% 0.86/1.22 maxselected = 10000000
% 0.86/1.22 maxnrclauses = 10000000
% 0.86/1.22
% 0.86/1.22 showgenerated = 0
% 0.86/1.22 showkept = 0
% 0.86/1.22 showselected = 0
% 0.86/1.22 showdeleted = 0
% 0.86/1.22 showresimp = 1
% 0.86/1.22 showstatus = 2000
% 0.86/1.22
% 0.86/1.22 prologoutput = 1
% 0.86/1.22 nrgoals = 5000000
% 0.86/1.22 totalproof = 1
% 0.86/1.22
% 0.86/1.22 Symbols occurring in the translation:
% 0.86/1.22
% 0.86/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.22 . [1, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.86/1.22 ! [4, 1] (w:0, o:102, a:1, s:1, b:0),
% 0.86/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.22 'tc_bool' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.86/1.22 'tc_fun' [43, 2] (w:1, o:153, a:1, s:1, b:0),
% 0.86/1.22 'c_lessequals' [44, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.86/1.22 'c_Set_Oinsert' [46, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.86/1.22 'c_in' [47, 3] (w:1, o:175, a:1, s:1, b:0),
% 0.86/1.22 hBOOL [48, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.86/1.22 'c_Set_Ovimage' [51, 4] (w:1, o:187, a:1, s:1, b:0),
% 0.86/1.22 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [53, 4] (w:1
% 0.86/1.22 , o:188, a:1, s:1, b:0),
% 0.86/1.22 hAPP [54, 2] (w:1, o:154, a:1, s:1, b:0),
% 0.86/1.22 'c_HOL_Ominus__class_Ominus' [56, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.86/1.22 'c_Lattices_Oupper__semilattice__class_Osup' [57, 3] (w:1, o:177, a:1
% 0.86/1.22 , s:1, b:0),
% 0.86/1.22 'class_HOL_Ominus' [58, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.86/1.22 't_a' [59, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.86/1.22 'v_x' [60, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.86/1.22 'c_Fun_Ocomp' [64, 5] (w:1, o:203, a:1, s:1, b:0),
% 0.86/1.22 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [65, 4] (w:1
% 0.86/1.22 , o:189, a:1, s:1, b:0),
% 0.86/1.22 'c_Orderings_Otop__class_Otop' [66, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.86/1.22 'c_Complete__Lattice_Ocomplete__lattice' [75, 9] (w:1, o:211, a:1, s:
% 0.86/1.22 1, b:0),
% 0.86/1.22 'c_Set_Oimage' [76, 4] (w:1, o:190, a:1, s:1, b:0),
% 0.86/1.22 'c_Collect' [79, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.86/1.22 'c_Com_Ocom_OSKIP' [80, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.86/1.22 'c_Com_Ocom_OCond' [84, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.86/1.22 'class_Lattices_Olattice' [85, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.86/1.22 'class_Lattices_Oupper__semilattice' [87, 1] (w:1, o:111, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'class_OrderedGroup_Oab__group__add' [89, 1] (w:1, o:112, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'c_Com_Ocom_OSemi' [95, 2] (w:1, o:156, a:1, s:1, b:0),
% 2.65/3.02 'c_Com_Ocom_OBODY' [97, 1] (w:1, o:114, a:1, s:1, b:0),
% 2.65/3.02 'c_COMBS' [100, 6] (w:1, o:207, a:1, s:1, b:0),
% 2.65/3.02 'c_COMBI' [101, 1] (w:1, o:115, a:1, s:1, b:0),
% 2.65/3.02 'c_COMBB' [102, 5] (w:1, o:204, a:1, s:1, b:0),
% 2.65/3.02 'c_Orderings_Obot__class_Obot' [104, 1] (w:1, o:116, a:1, s:1, b:0),
% 2.65/3.02
% 2.65/3.02 'c_Orderings_Oorder' [105, 3] (w:1, o:179, a:1, s:1, b:0),
% 2.65/3.02 'c_Finite__Set_Ofold1' [106, 3] (w:1, o:180, a:1, s:1, b:0),
% 2.65/3.02 'c_Finite__Set_Ofold1Set' [107, 3] (w:1, o:181, a:1, s:1, b:0),
% 2.65/3.02 'c_The' [108, 2] (w:1, o:158, a:1, s:1, b:0),
% 2.65/3.02 'class_Complete__Lattice_Ocomplete__lattice' [109, 1] (w:1, o:117, a:
% 2.65/3.02 1, s:1, b:0),
% 2.65/3.02 'c_COMBK' [113, 3] (w:1, o:182, a:1, s:1, b:0),
% 2.65/3.02 'c_Product__Type_OSigma' [114, 4] (w:1, o:191, a:1, s:1, b:0),
% 2.65/3.02 'c_Com_Ocom_OWhile' [116, 2] (w:1, o:159, a:1, s:1, b:0),
% 2.65/3.02 'c_Complete__Lattice_OSup__class_OSup' [119, 2] (w:1, o:160, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'class_Lattices_Obounded__lattice' [120, 1] (w:1, o:118, a:1, s:1, b:
% 2.65/3.02 0),
% 2.65/3.02 'class_Orderings_Oorder' [123, 1] (w:1, o:119, a:1, s:1, b:0),
% 2.65/3.02 'c_SetInterval_Oord__class_OatLeastAtMost' [124, 3] (w:1, o:183, a:1
% 2.65/3.02 , s:1, b:0),
% 2.65/3.02 'c_Complete__Lattice_Ocomplete__lattice_OSUPR' [128, 5] (w:1, o:205
% 2.65/3.02 , a:1, s:1, b:0),
% 2.65/3.02 'tc_prod' [129, 2] (w:1, o:161, a:1, s:1, b:0),
% 2.65/3.02 'c_Lattices_Obounded__lattice' [130, 7] (w:1, o:210, a:1, s:1, b:0),
% 2.65/3.02
% 2.65/3.02 'class_HOL_Oord' [132, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.65/3.02 'class_Orderings_Obot' [133, 1] (w:1, o:121, a:1, s:1, b:0),
% 2.65/3.02 'c_fequal' [135, 1] (w:1, o:122, a:1, s:1, b:0),
% 2.65/3.02 'c_COMBC' [136, 4] (w:1, o:192, a:1, s:1, b:0),
% 2.65/3.02 'c_Complete__Lattice_OInf__class_OInf' [137, 2] (w:1, o:162, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'class_Orderings_Otop' [138, 1] (w:1, o:123, a:1, s:1, b:0),
% 2.65/3.02 'c_Complete__Lattice_Ocomplete__lattice_OINFI' [139, 5] (w:1, o:206
% 2.65/3.02 , a:1, s:1, b:0),
% 2.65/3.02 'c_Record_Oiso__tuple__update__accessor__cong__assist' [143, 4] (w:1
% 2.65/3.02 , o:186, a:1, s:1, b:0),
% 2.65/3.02 'class_Orderings_Opreorder' [147, 1] (w:1, o:124, a:1, s:1, b:0),
% 2.65/3.02 'c_Inductive_Ocomplete__lattice__class_Olfp' [149, 2] (w:1, o:163, a:
% 2.65/3.02 1, s:1, b:0),
% 2.65/3.02 'class_OrderedGroup_Opordered__ab__group__add' [152, 1] (w:1, o:125
% 2.65/3.02 , a:1, s:1, b:0),
% 2.65/3.02 'class_Orderings_Olinorder' [153, 1] (w:1, o:126, a:1, s:1, b:0),
% 2.65/3.02 'c_Finite__Set_Ocard' [154, 2] (w:1, o:164, a:1, s:1, b:0),
% 2.65/3.02 't_b' [159, 0] (w:1, o:84, a:1, s:1, b:0),
% 2.65/3.02 'c_Hoare__Mirabelle_Otriple_Otriple' [160, 4] (w:1, o:193, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'c_Hoare__Mirabelle_Otriple_Otriple__case' [161, 4] (w:1, o:194, a:1
% 2.65/3.02 , s:1, b:0),
% 2.65/3.02 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [164, 4] (w:1, o:195, a:1
% 2.65/3.02 , s:1, b:0),
% 2.65/3.02 'v_P' [165, 0] (w:1, o:85, a:1, s:1, b:0),
% 2.65/3.02 'c_Hoare__Mirabelle_Ohoare__derivs' [168, 3] (w:1, o:184, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'tc_Hoare__Mirabelle_Otriple' [170, 1] (w:1, o:127, a:1, s:1, b:0),
% 2.65/3.02 'v_Q' [171, 0] (w:1, o:87, a:1, s:1, b:0),
% 2.65/3.02 't_c' [172, 0] (w:1, o:88, a:1, s:1, b:0),
% 2.65/3.02 'v_R' [173, 0] (w:1, o:89, a:1, s:1, b:0),
% 2.65/3.02 'c_Not' [174, 0] (w:1, o:90, a:1, s:1, b:0),
% 2.65/3.02 'tc_Com_Ostate' [175, 0] (w:1, o:91, a:1, s:1, b:0),
% 2.65/3.02 'c_Hoare__Mirabelle_Opeek__and' [176, 3] (w:1, o:185, a:1, s:1, b:0)
% 2.65/3.02 ,
% 2.65/3.02 'c_Com_Obody' [178, 1] (w:1, o:113, a:1, s:1, b:0),
% 2.65/3.02 'tc_Com_Ocom' [179, 0] (w:1, o:93, a:1, s:1, b:0),
% 2.65/3.02 'c_Option_Othe' [180, 2] (w:1, o:166, a:1, s:1, b:0),
% 2.65/3.02 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [181, 2] (w:1, o:165, a:1
% 2.65/3.02 , s:1, b:0),
% 2.65/3.02 'c_Finite__Set_Olinorder__class_OMin' [182, 2] (w:1, o:167, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'c_Set_Ocontents' [183, 2] (w:1, o:157, a:1, s:1, b:0),
% 2.65/3.02 'c_Finite__Set_Olinorder__class_OMax' [184, 2] (w:1, o:168, a:1, s:1
% 2.65/3.02 , b:0),
% 2.65/3.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [186, 6] (w:1
% 2.65/3.02 , o:208, a:1, s:1, b:0),
% 2.65/3.02 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [187, 4] (w:1
% 21.06/21.48 , o:197, a:1, s:1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xconseq12__3' [190, 4] (w:1, o:200, a:1, s:
% 21.06/21.48 1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xconseq12__2' [191, 4] (w:1, o:199, a:1, s:
% 21.06/21.48 1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [192, 6] (w:
% 21.06/21.48 1, o:209, a:1, s:1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [193, 4] (w:
% 21.06/21.48 1, o:202, a:1, s:1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [194, 4] (w:
% 21.06/21.48 1, o:201, a:1, s:1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [195, 4] (w:1
% 21.06/21.48 , o:196, a:1, s:1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xconseq2__1' [196, 2] (w:1, o:171, a:1, s:1
% 21.06/21.48 , b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xconseq2__2' [197, 2] (w:1, o:172, a:1, s:1
% 21.06/21.48 , b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xconseq12__1' [198, 4] (w:1, o:198, a:1, s:
% 21.06/21.48 1, b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xconseq1__1' [199, 2] (w:1, o:169, a:1, s:1
% 21.06/21.48 , b:0),
% 21.06/21.48 'v_sko__Hoare__Mirabelle__Xconseq1__2' [200, 2] (w:1, o:170, a:1, s:1
% 21.06/21.48 , b:0),
% 21.06/21.48 'v_G' [204, 0] (w:1, o:96, a:1, s:1, b:0),
% 21.06/21.48 'v_c' [205, 0] (w:1, o:97, a:1, s:1, b:0),
% 21.06/21.48 'tc_nat' [210, 0] (w:1, o:101, a:1, s:1, b:0).
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Starting Search:
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 5989
% 21.06/21.48 Kept: 2000
% 21.06/21.48 Inuse: 223
% 21.06/21.48 Deleted: 5
% 21.06/21.48 Deletedinuse: 0
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 15205
% 21.06/21.48 Kept: 4069
% 21.06/21.48 Inuse: 289
% 21.06/21.48 Deleted: 12
% 21.06/21.48 Deletedinuse: 5
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 26964
% 21.06/21.48 Kept: 6413
% 21.06/21.48 Inuse: 368
% 21.06/21.48 Deleted: 13
% 21.06/21.48 Deletedinuse: 5
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 37114
% 21.06/21.48 Kept: 8418
% 21.06/21.48 Inuse: 377
% 21.06/21.48 Deleted: 14
% 21.06/21.48 Deletedinuse: 5
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 47281
% 21.06/21.48 Kept: 10435
% 21.06/21.48 Inuse: 431
% 21.06/21.48 Deleted: 19
% 21.06/21.48 Deletedinuse: 9
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 58117
% 21.06/21.48 Kept: 12491
% 21.06/21.48 Inuse: 490
% 21.06/21.48 Deleted: 20
% 21.06/21.48 Deletedinuse: 9
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 74699
% 21.06/21.48 Kept: 16224
% 21.06/21.48 Inuse: 544
% 21.06/21.48 Deleted: 24
% 21.06/21.48 Deletedinuse: 13
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 82340
% 21.06/21.48 Kept: 18230
% 21.06/21.48 Inuse: 562
% 21.06/21.48 Deleted: 24
% 21.06/21.48 Deletedinuse: 13
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying clauses:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 91860
% 21.06/21.48 Kept: 20246
% 21.06/21.48 Inuse: 582
% 21.06/21.48 Deleted: 204
% 21.06/21.48 Deletedinuse: 13
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 104111
% 21.06/21.48 Kept: 22288
% 21.06/21.48 Inuse: 613
% 21.06/21.48 Deleted: 207
% 21.06/21.48 Deletedinuse: 14
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 120217
% 21.06/21.48 Kept: 24624
% 21.06/21.48 Inuse: 649
% 21.06/21.48 Deleted: 214
% 21.06/21.48 Deletedinuse: 17
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 130949
% 21.06/21.48 Kept: 26628
% 21.06/21.48 Inuse: 674
% 21.06/21.48 Deleted: 214
% 21.06/21.48 Deletedinuse: 17
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 148837
% 21.06/21.48 Kept: 28645
% 21.06/21.48 Inuse: 720
% 21.06/21.48 Deleted: 217
% 21.06/21.48 Deletedinuse: 18
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 168759
% 21.06/21.48 Kept: 31825
% 21.06/21.48 Inuse: 738
% 21.06/21.48 Deleted: 217
% 21.06/21.48 Deletedinuse: 18
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 181836
% 21.06/21.48 Kept: 33835
% 21.06/21.48 Inuse: 760
% 21.06/21.48 Deleted: 313
% 21.06/21.48 Deletedinuse: 114
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 190056
% 21.06/21.48 Kept: 35926
% 21.06/21.48 Inuse: 796
% 21.06/21.48 Deleted: 314
% 21.06/21.48 Deletedinuse: 114
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 199950
% 21.06/21.48 Kept: 37948
% 21.06/21.48 Inuse: 839
% 21.06/21.48 Deleted: 316
% 21.06/21.48 Deletedinuse: 116
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48 Resimplifying inuse:
% 21.06/21.48 Done
% 21.06/21.48
% 21.06/21.48
% 21.06/21.48 Intermediate Status:
% 21.06/21.48 Generated: 212299
% 104.95/105.35 Kept: 40008
% 104.95/105.35 Inuse: 886
% 104.95/105.35 Deleted: 319
% 104.95/105.35 Deletedinuse: 119
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying clauses:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 226906
% 104.95/105.35 Kept: 42040
% 104.95/105.35 Inuse: 916
% 104.95/105.35 Deleted: 3707
% 104.95/105.35 Deletedinuse: 119
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 244033
% 104.95/105.35 Kept: 45327
% 104.95/105.35 Inuse: 935
% 104.95/105.35 Deleted: 3707
% 104.95/105.35 Deletedinuse: 119
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 256886
% 104.95/105.35 Kept: 48193
% 104.95/105.35 Inuse: 959
% 104.95/105.35 Deleted: 3707
% 104.95/105.35 Deletedinuse: 119
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 272609
% 104.95/105.35 Kept: 50694
% 104.95/105.35 Inuse: 996
% 104.95/105.35 Deleted: 3708
% 104.95/105.35 Deletedinuse: 120
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 282993
% 104.95/105.35 Kept: 52722
% 104.95/105.35 Inuse: 1017
% 104.95/105.35 Deleted: 3712
% 104.95/105.35 Deletedinuse: 120
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 300142
% 104.95/105.35 Kept: 54745
% 104.95/105.35 Inuse: 1054
% 104.95/105.35 Deleted: 3732
% 104.95/105.35 Deletedinuse: 122
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 315783
% 104.95/105.35 Kept: 57236
% 104.95/105.35 Inuse: 1079
% 104.95/105.35 Deleted: 3738
% 104.95/105.35 Deletedinuse: 123
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 330340
% 104.95/105.35 Kept: 59626
% 104.95/105.35 Inuse: 1094
% 104.95/105.35 Deleted: 3739
% 104.95/105.35 Deletedinuse: 124
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying clauses:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 354246
% 104.95/105.35 Kept: 61921
% 104.95/105.35 Inuse: 1119
% 104.95/105.35 Deleted: 4257
% 104.95/105.35 Deletedinuse: 125
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 373553
% 104.95/105.35 Kept: 64647
% 104.95/105.35 Inuse: 1129
% 104.95/105.35 Deleted: 4257
% 104.95/105.35 Deletedinuse: 125
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 399506
% 104.95/105.35 Kept: 66657
% 104.95/105.35 Inuse: 1177
% 104.95/105.35 Deleted: 4257
% 104.95/105.35 Deletedinuse: 125
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 434569
% 104.95/105.35 Kept: 68663
% 104.95/105.35 Inuse: 1253
% 104.95/105.35 Deleted: 4257
% 104.95/105.35 Deletedinuse: 125
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 469150
% 104.95/105.35 Kept: 71522
% 104.95/105.35 Inuse: 1310
% 104.95/105.35 Deleted: 4257
% 104.95/105.35 Deletedinuse: 125
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 529674
% 104.95/105.35 Kept: 73729
% 104.95/105.35 Inuse: 1371
% 104.95/105.35 Deleted: 4331
% 104.95/105.35 Deletedinuse: 130
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 581928
% 104.95/105.35 Kept: 77248
% 104.95/105.35 Inuse: 1452
% 104.95/105.35 Deleted: 4345
% 104.95/105.35 Deletedinuse: 137
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 658613
% 104.95/105.35 Kept: 79249
% 104.95/105.35 Inuse: 1591
% 104.95/105.35 Deleted: 4345
% 104.95/105.35 Deletedinuse: 137
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying clauses:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 738386
% 104.95/105.35 Kept: 81259
% 104.95/105.35 Inuse: 1721
% 104.95/105.35 Deleted: 6341
% 104.95/105.35 Deletedinuse: 140
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 785563
% 104.95/105.35 Kept: 83263
% 104.95/105.35 Inuse: 1808
% 104.95/105.35 Deleted: 6341
% 104.95/105.35 Deletedinuse: 140
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 816471
% 104.95/105.35 Kept: 85273
% 104.95/105.35 Inuse: 1882
% 104.95/105.35 Deleted: 6341
% 104.95/105.35 Deletedinuse: 140
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 864733
% 104.95/105.35 Kept: 87286
% 104.95/105.35 Inuse: 1996
% 104.95/105.35 Deleted: 6342
% 104.95/105.35 Deletedinuse: 141
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 933468
% 104.95/105.35 Kept: 89294
% 104.95/105.35 Inuse: 2134
% 104.95/105.35 Deleted: 6381
% 104.95/105.35 Deletedinuse: 141
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 971216
% 104.95/105.35 Kept: 91309
% 104.95/105.35 Inuse: 2210
% 104.95/105.35 Deleted: 6390
% 104.95/105.35 Deletedinuse: 148
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35 Resimplifying inuse:
% 104.95/105.35 Done
% 104.95/105.35
% 104.95/105.35
% 104.95/105.35 Intermediate Status:
% 104.95/105.35 Generated: 1041499
% 104.95/105.35 Kept: 93420
% 104.95/105.35 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------