TSTP Solution File: SWV826-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV826-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 16:28:42 EDT 2022
% Result : Timeout 300.09s 300.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV826-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Thu Jun 16 05:03:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.86/1.24 *** allocated 10000 integers for termspace/termends
% 0.86/1.24 *** allocated 10000 integers for clauses
% 0.86/1.24 *** allocated 10000 integers for justifications
% 0.86/1.24 *** allocated 15000 integers for termspace/termends
% 0.86/1.24 Bliksem 1.12
% 0.86/1.24
% 0.86/1.24
% 0.86/1.24 Automatic Strategy Selection
% 0.86/1.24
% 0.86/1.24 Clauses:
% 0.86/1.24 [
% 0.86/1.24 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.86/1.24 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.86/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 0.86/1.24 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.24 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.86/1.24 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.86/1.24 ), hBOOL( 'c_in'( hAPP( X, Z ), 'c_Set_Oimage'( X,
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( T, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.86/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.86/1.24 , 'tc_bool' ) ), Y, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.86/1.24 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.86/1.24 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ =( 'c_COMBC'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), Y ) ) ],
% 0.86/1.24 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.86/1.24 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.86/1.24 [ =( 'c_COMBS'( X, Y, Z, T, U, W ), hAPP( hAPP( X, Z ), hAPP( Y, Z ) ) )
% 0.86/1.24 ],
% 0.86/1.24 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y,
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.86/1.24 , 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U,
% 0.86/1.24 'tc_bool' ) ), U, X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, T, U, X ) ), ~(
% 0.86/1.24 'c_Fun_Oinj__on'( Y, Z, U, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ), U, X ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.86/1.24 'tc_fun'( U, 'tc_bool' ) ), U, X ) ), 'c_Set_Oimage'( Y,
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( T, Z, 'tc_fun'( U, 'tc_bool' ) ), U, X ) )
% 0.86/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.86/1.24 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ), U, X ) ) ],
% 0.86/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.86/1.24 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.24 , T, X ) ) ), =( Y, Z ) ],
% 0.86/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.86/1.24 , T, X ) ) ), =( Z, T ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.86/1.24 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.86/1.24 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.86/1.24 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 0.86/1.24 X, T ) ) ],
% 0.86/1.24 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.86/1.24 , T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.86/1.24 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.86/1.24 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.24 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.86/1.24 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 ) ],
% 0.86/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.86/1.24 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.24 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), T ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.24 , T ), Y ), Z ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.24 , Y ), T ), Z ) ) ) ],
% 0.86/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.86/1.24 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.86/1.24 U, W ) ) ],
% 0.86/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.86/1.24 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.86/1.24 =( Y, Z ) ],
% 0.86/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.86/1.24 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.86/1.24 =( Y, Z ) ],
% 0.86/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.86/1.24 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.86/1.24 , U ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.86/1.24 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.86/1.24 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.86/1.24 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.24 [ 'c_lessequals'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.24 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.24 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.24 [ 'c_lessequals'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.86/1.24 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.24 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.86/1.24 X ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.24 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.86/1.24 X ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.86/1.24 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.86/1.24 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), Y ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.86/1.24 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.86/1.24 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.86/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.86/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.86/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.86/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.86/1.24 ) ],
% 0.86/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.86/1.24 ) ],
% 0.86/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 0.86/1.24 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.86/1.24 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.86/1.24 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.86/1.24 , U ) ) ],
% 0.86/1.24 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.86/1.24 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.86/1.24 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.86/1.24 , W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.24 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.86/1.24 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 0.86/1.24 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.86/1.24 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.86/1.24 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.24 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.86/1.24 ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.86/1.24 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.86/1.24 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.24 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.86/1.24 ) ) ],
% 0.86/1.24 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.86/1.24 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.86/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.24 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.86/1.24 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.86/1.24 [ 'c_lessequals'( hAPP( X, Y ),
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.86/1.24 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.86/1.24 ) ) ],
% 0.86/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.86/1.24 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.86/1.24 , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.86/1.24 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.24 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.86/1.24 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.86/1.24 , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.86/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.86/1.24 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.24 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.86/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.24 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.24 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.86/1.24 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.86/1.24 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.86/1.24 , T ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.86/1.24 , Z ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.24 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.24 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.86/1.24 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.86/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.86/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.86/1.24 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.86/1.24 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.86/1.24 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.86/1.24 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.86/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.24 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.24 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.86/1.24 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.24 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 0.86/1.24 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.86/1.24 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.86/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.86/1.24 ), X ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.24 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.86/1.24 , =( Z, W ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.86/1.24 , =( Y, U ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.86/1.24 , =( X, T ) ],
% 0.86/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.86/1.24 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ),
% 0.86/1.24 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.86/1.24 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.86/1.24 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.86/1.24 ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.24 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.24 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.86/1.24 ) ],
% 0.86/1.24 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.86/1.24 ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.24 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.24 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.86/1.24 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.86/1.24 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.86/1.24 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), T ) ) ) ],
% 0.86/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ),
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.86/1.24 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.86/1.24 ,
% 0.86/1.24 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.24 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.86/1.24 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.86/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.86/1.24 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.86/1.24 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.86/1.24 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.24 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.24 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.86/1.24 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.86/1.24 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.86/1.24 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.86/1.24 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.86/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.86/1.24 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.86/1.24 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.24 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.86/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.86/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.86/1.24 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.86/1.24 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.86/1.24 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.86/1.24 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.86/1.24 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.86/1.24 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.86/1.24 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.86/1.24 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.86/1.24 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.86/1.24 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.86/1.24 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.86/1.24 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.86/1.24 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 0.86/1.24 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.24 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.86/1.24 , T ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.86/1.24 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.86/1.24 , T ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.86/1.24 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.86/1.24 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.24 'tc_bool' ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y
% 0.86/1.24 , T, U, X ) ), 'c_Set_Oimage'( Y, T, U, X ) ), ~( hBOOL( 'c_in'( Z, T, U
% 0.86/1.24 ) ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.86/1.24 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.86/1.24 , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.86/1.24 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.86/1.24 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.86/1.24 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.86/1.24 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.24 ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X,
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.86/1.24 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.86/1.24 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.86/1.24 [ hBOOL( 'c_in'( X,
% 0.86/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.86/1.24 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.86/1.24 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.86/1.24 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.86/1.24 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.86/1.24 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.86/1.24 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.86/1.24 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.86/1.24 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.86/1.24 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.86/1.24 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.86/1.24 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.86/1.24 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.24 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.86/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.86/1.24 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.86/1.24 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.86/1.24 , V3, V4, U ) ) ],
% 0.86/1.24 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.86/1.24 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.86/1.24 , V3, V4, U ) ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Z ), Y ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.86/1.24 =( X, Z ) ],
% 0.86/1.24 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.86/1.24 =( Y, T ) ],
% 0.86/1.24 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.24 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.24 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.24 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.86/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.86/1.25 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.86/1.25 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.86/1.25 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.86/1.25 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.86/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.86/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.86/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.86/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.86/1.25 Y, X ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.25 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Z, hAPP( hAPP( 'c_Set_Oinsert'( T ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), 'tc_fun'( T
% 0.86/1.25 , 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( T ), Y ), Z ), T, U ) ) ],
% 0.86/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.25 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.86/1.25 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.86/1.25 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.86/1.25 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.86/1.25 ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.86/1.25 hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.25 , T ), X ), Y ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.25 , X ), T ), Y ) ) ) ],
% 0.86/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.86/1.25 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.86/1.25 , Z ) ) ],
% 0.86/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.25 , U ), Y ), Z, T ) ) ],
% 0.86/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.25 , Y ), U ), Z, T ) ) ],
% 0.86/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.86/1.25 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.86/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.86/1.25 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.86/1.25 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.86/1.25 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.86/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.86/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.86/1.25 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.86/1.25 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.25 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.86/1.25 , V2, Z, Y ) ) ],
% 0.86/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.86/1.25 , Z, V2, Y ) ) ],
% 0.86/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.25 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.25 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.86/1.25 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.86/1.25 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ), Y ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.25 ) ) ), Y ), Y ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ), X ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.25 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.25 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.25 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ), Y, Z ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.25 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.86/1.25 ) ), Z, X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.25 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL(
% 0.86/1.25 'c_in'( Y, Z, X ) ) ) ],
% 0.86/1.25 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.86/1.25 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.86/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.86/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.86/1.25 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.86/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.86/1.25 Z, Y, X ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.86/1.25 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.86/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.86/1.25 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.86/1.25 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.86/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.86/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.86/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.86/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.86/1.25 ],
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.86/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.86/1.25 ],
% 0.86/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.86/1.25 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.86/1.25 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.86/1.25 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.86/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ) ) ) ],
% 0.86/1.25 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.86/1.25 , 'v_x' ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.86/1.25 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.86/1.25 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.86/1.25 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.86/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 0.86/1.25 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~(
% 0.86/1.25 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 0.86/1.25 , 'tc_bool' ) ), Y ) ) ],
% 0.86/1.25 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.86/1.25 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.86/1.25 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.86/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.86/1.25 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.86/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.86/1.25 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.86/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.86/1.25 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.25 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.86/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.86/1.25 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.86/1.25 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.86/1.25 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.86/1.25 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.86/1.25 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.86/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.86/1.25 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.86/1.25 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.86/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.86/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.86/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.86/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.86/1.25 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.86/1.25 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.86/1.25 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.86/1.25 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.86/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.86/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.86/1.25 'c_in'( X, Z, Y ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.86/1.25 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.86/1.25 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.86/1.25 , V4 ), W ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.86/1.25 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.86/1.25 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.86/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.86/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.86/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.86/1.25 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.86/1.25 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.86/1.25 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.86/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.86/1.25 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.86/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.86/1.25 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.25 Z, Y ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.86/1.25 Z, Y ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.86/1.25 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.86/1.25 [ =( 'c_Fun_Ocomp'( hAPP( X, Y ), hAPP( X, Y ), Z, Z, Z ), hAPP( X, Y )
% 0.86/1.25 ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, Z ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.86/1.25 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.86/1.25 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.86/1.25 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.25 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.86/1.25 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.86/1.25 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.86/1.25 'tc_bool' ) ) ) ],
% 0.86/1.25 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.86/1.25 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.86/1.25 'tc_bool' ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.86/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.86/1.25 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.86/1.25 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.86/1.25 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.86/1.25 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.86/1.25 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 0.86/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.86/1.25 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.86/1.25 Y, Z, X ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.25 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.86/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), =( 'c_Finite__Set_Ofold1'( T
% 0.86/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( U ), W ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( U, 'tc_bool' ) ) ), U ), W ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.25 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 0.86/1.25 ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.86/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.86/1.25 ) ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.86/1.25 , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.86/1.25 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.86/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.25 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.86/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.86/1.25 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.86/1.25 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.86/1.25 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.86/1.25 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.86/1.25 ), hAPP( hAPP( 'c_Set_Oinsert'( U ), hAPP( X, Z ) ), 'c_Set_Oimage'( X,
% 0.86/1.25 T, Y, U ) ) ) ],
% 0.86/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.86/1.25 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.86/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.25 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.86/1.25 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.86/1.25 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.86/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 0.86/1.25 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Y ), T ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.86/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , Z ), T ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.86/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ) ) ],
% 0.86/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.86/1.25 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.25 ) ],
% 0.86/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X,
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 0.86/1.25 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 0.86/1.25 Y, Z, X ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.86/1.25 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 0.86/1.25 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 0.86/1.25 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.86/1.25 hAPP( X, Y ), Z ), T ) ) ],
% 0.86/1.25 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X,
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 0.86/1.25 hAPP( X, Y ), Z ), T ) ) ],
% 0.86/1.25 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.86/1.25 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.86/1.25 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( hAPP( 'c_COMBB'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.86/1.25 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.86/1.25 [ =( 'c_COMBS'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.86/1.25 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.86/1.25 [ =( 'c_COMBC'( 'v_P', 'v_Q', 'v_R', 't_a', 't_b', 't_c' ), hAPP( hAPP(
% 0.86/1.25 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 0.86/1.25 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.86/1.25 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.86/1.25 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.86/1.25 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 0.86/1.25 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.86/1.25 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 0.86/1.25 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 0.86/1.25 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 0.86/1.25 ],
% 0.86/1.25 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.86/1.25 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.86/1.25 , 'tc_bool' ) ) ) ],
% 0.86/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.86/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.86/1.25 ) ],
% 0.86/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.86/1.25 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.86/1.25 ) ],
% 0.86/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.86/1.25 , Y ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.86/1.25 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.86/1.25 ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.86/1.25 ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.86/1.25 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.86/1.25 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.86/1.25 ) ],
% 0.86/1.25 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.86/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.86/1.25 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.86/1.25 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.86/1.25 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.86/1.25 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.86/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.86/1.25 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.86/1.25 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.86/1.25 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.86/1.25 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.86/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.86/1.25 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.86/1.25 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.86/1.25 ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.86/1.25 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.86/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.86/1.25 'c_in'( Y, Z, X ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.86/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.86/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.86/1.25 , Y ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.86/1.25 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.86/1.25 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.86/1.25 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.86/1.25 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.86/1.25 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.86/1.25 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.86/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.86/1.25 ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.86/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.86/1.25 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.86/1.25 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.86/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.86/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.86/1.25 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.86/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.86/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.86/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.86/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.86/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.86/1.25 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.25 ) ), Y ) ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.86/1.25 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.86/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.86/1.25 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.86/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.86/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.25 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.86/1.25 hBOOL( hAPP( Z, T ) ) ) ],
% 0.86/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P_H', 'v_c', 'v_Q', 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ],
% 0.86/1.25 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.86/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.86/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'v_c', 'v_Q', 't_a' ) ),
% 0.86/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.86/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.86/1.25 [ hBOOL( hAPP( hAPP( 'v_P_H', X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'v_P', X
% 0.86/1.25 ), Y ) ) ) ],
% 0.86/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.86/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.25 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.86/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.86/1.25 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.86/1.25 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.86/1.25 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Orderings_Opreorder'( Y ) ) ],
% 0.86/1.25 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.25 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.25 'class_Orderings_Oorder'( Y ) ) ],
% 0.86/1.25 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.86/1.25 Y ) ) ],
% 0.86/1.25 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.86/1.25 ,
% 0.86/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.86/1.25 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.86/1.25 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.86/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.86/1.25 ] .
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 percentage equality = 0.307095, percentage horn = 0.910550
% 0.86/1.25 This is a problem with some equality
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25
% 0.86/1.25 Options Used:
% 0.86/1.25
% 0.86/1.25 useres = 1
% 0.86/1.25 useparamod = 1
% 0.86/1.25 useeqrefl = 1
% 0.86/1.25 useeqfact = 1
% 0.86/1.25 usefactor = 1
% 0.86/1.25 usesimpsplitting = 0
% 0.86/1.25 usesimpdemod = 5
% 0.86/1.25 usesimpres = 3
% 0.86/1.25
% 0.86/1.25 resimpinuse = 1000
% 0.86/1.25 resimpclauses = 20000
% 0.86/1.25 substype = eqrewr
% 0.86/1.25 backwardsubs = 1
% 0.86/1.25 selectoldest = 5
% 0.86/1.25
% 0.86/1.25 litorderings [0] = split
% 0.86/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.25
% 0.86/1.25 termordering = kbo
% 0.86/1.25
% 0.86/1.25 litapriori = 0
% 0.86/1.25 termapriori = 1
% 0.86/1.25 litaposteriori = 0
% 0.86/1.25 termaposteriori = 0
% 0.86/1.25 demodaposteriori = 0
% 0.86/1.25 ordereqreflfact = 0
% 0.86/1.25
% 0.86/1.25 litselect = negord
% 0.86/1.25
% 0.86/1.25 maxweight = 15
% 0.86/1.25 maxdepth = 30000
% 0.86/1.25 maxlength = 115
% 0.86/1.25 maxnrvars = 195
% 0.86/1.25 excuselevel = 1
% 0.86/1.25 increasemaxweight = 1
% 0.86/1.25
% 0.86/1.25 maxselected = 10000000
% 0.86/1.25 maxnrclauses = 10000000
% 0.86/1.25
% 0.86/1.25 showgenerated = 0
% 0.86/1.25 showkept = 0
% 0.86/1.25 showselected = 0
% 0.86/1.25 showdeleted = 0
% 0.86/1.25 showresimp = 1
% 0.86/1.25 showstatus = 2000
% 0.86/1.25
% 0.86/1.25 prologoutput = 1
% 0.86/1.25 nrgoals = 5000000
% 0.86/1.25 totalproof = 1
% 0.86/1.25
% 0.86/1.25 Symbols occurring in the translation:
% 0.86/1.25
% 0.86/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.11/2.55 . [1, 2] (w:1, o:126, a:1, s:1, b:0),
% 2.11/2.55 ! [4, 1] (w:0, o:99, a:1, s:1, b:0),
% 2.11/2.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.11/2.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.11/2.55 'tc_bool' [40, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.11/2.55 'tc_fun' [41, 2] (w:1, o:151, a:1, s:1, b:0),
% 2.11/2.55 'c_Lattices_Olower__semilattice__class_Oinf' [42, 1] (w:1, o:104, a:1
% 2.11/2.55 , s:1, b:0),
% 2.11/2.55 hAPP [44, 2] (w:1, o:152, a:1, s:1, b:0),
% 2.11/2.55 'c_Orderings_Obot__class_Obot' [46, 1] (w:1, o:105, a:1, s:1, b:0),
% 2.11/2.55 'c_HOL_Ominus__class_Ominus' [47, 3] (w:1, o:166, a:1, s:1, b:0),
% 2.11/2.55 'class_Lattices_Olattice' [49, 1] (w:1, o:106, a:1, s:1, b:0),
% 2.11/2.55 't_a' [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.11/2.55 'c_Lattices_Oupper__semilattice__class_Osup' [51, 1] (w:1, o:107, a:1
% 2.11/2.55 , s:1, b:0),
% 2.11/2.55 'v_x' [54, 0] (w:1, o:26, a:1, s:1, b:0),
% 2.11/2.55 'c_Set_Oimage' [56, 4] (w:1, o:178, a:1, s:1, b:0),
% 2.11/2.55 'c_Fun_Oinj__on' [57, 4] (w:1, o:179, a:1, s:1, b:0),
% 2.11/2.55 'c_Fun_Ocomp' [58, 5] (w:1, o:191, a:1, s:1, b:0),
% 2.11/2.55 'class_Lattices_Odistrib__lattice' [60, 1] (w:1, o:108, a:1, s:1, b:0
% 2.11/2.55 ),
% 2.11/2.55 hBOOL [65, 1] (w:1, o:109, a:1, s:1, b:0),
% 2.11/2.55 'c_Collect' [66, 2] (w:1, o:153, a:1, s:1, b:0),
% 2.11/2.55 'c_in' [67, 3] (w:1, o:167, a:1, s:1, b:0),
% 2.11/2.55 'class_Lattices_Oupper__semilattice' [68, 1] (w:1, o:110, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'c_Set_Oinsert' [69, 1] (w:1, o:111, a:1, s:1, b:0),
% 2.11/2.55 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [71, 4] (w:1
% 2.11/2.55 , o:180, a:1, s:1, b:0),
% 2.11/2.55 'c_COMBB' [74, 5] (w:1, o:192, a:1, s:1, b:0),
% 2.11/2.55 'c_COMBC' [76, 6] (w:1, o:193, a:1, s:1, b:0),
% 2.11/2.55 'c_COMBI' [77, 1] (w:1, o:112, a:1, s:1, b:0),
% 2.11/2.55 'c_COMBK' [78, 3] (w:1, o:168, a:1, s:1, b:0),
% 2.11/2.55 'c_COMBS' [79, 6] (w:1, o:194, a:1, s:1, b:0),
% 2.11/2.55 'class_OrderedGroup_Oab__group__add' [80, 1] (w:1, o:113, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'class_Orderings_Olinorder' [84, 1] (w:1, o:114, a:1, s:1, b:0),
% 2.11/2.55 'c_Finite__Set_Olinorder__class_OMax' [86, 2] (w:1, o:154, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'c_lessequals' [88, 3] (w:1, o:169, a:1, s:1, b:0),
% 2.11/2.55 'c_Finite__Set_Ofinite' [89, 2] (w:1, o:155, a:1, s:1, b:0),
% 2.11/2.55 'c_Orderings_Olinorder' [92, 3] (w:1, o:170, a:1, s:1, b:0),
% 2.11/2.55 'c_SetInterval_Oord__class_OlessThan' [93, 2] (w:1, o:156, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'class_Lattices_Olower__semilattice' [95, 1] (w:1, o:115, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'c_Com_Ocom_OSKIP' [97, 0] (w:1, o:52, a:1, s:1, b:0),
% 2.11/2.55 'c_Com_Ocom_OCond' [101, 3] (w:1, o:171, a:1, s:1, b:0),
% 2.11/2.55 'c_Finite__Set_Ofold1' [102, 3] (w:1, o:172, a:1, s:1, b:0),
% 2.11/2.55 'c_Finite__Set_Ofold1Set' [103, 3] (w:1, o:173, a:1, s:1, b:0),
% 2.11/2.55 'c_The' [104, 2] (w:1, o:158, a:1, s:1, b:0),
% 2.11/2.55 'class_Complete__Lattice_Ocomplete__lattice' [105, 1] (w:1, o:116, a:
% 2.11/2.55 1, s:1, b:0),
% 2.11/2.55 'c_Com_Ocom_OWhile' [109, 2] (w:1, o:159, a:1, s:1, b:0),
% 2.11/2.55 'c_Complete__Lattice_OInf__class_OInf' [110, 2] (w:1, o:160, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'c_Finite__Set_Ofun__left__comm__idem' [111, 3] (w:1, o:174, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'c_Com_Ocom_OSemi' [114, 2] (w:1, o:161, a:1, s:1, b:0),
% 2.11/2.55 'c_Complete__Lattice_OSup__class_OSup' [115, 2] (w:1, o:162, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'class_Orderings_Oorder' [121, 1] (w:1, o:117, a:1, s:1, b:0),
% 2.11/2.55 'c_SetInterval_Oord__class_OatLeastAtMost' [122, 3] (w:1, o:175, a:1
% 2.11/2.55 , s:1, b:0),
% 2.11/2.55 'c_Finite__Set_Olinorder__class_OMin' [127, 2] (w:1, o:163, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'class_HOL_Ominus' [128, 1] (w:1, o:118, a:1, s:1, b:0),
% 2.11/2.55 'c_Complete__Lattice_Ocomplete__lattice' [135, 9] (w:1, o:197, a:1
% 2.11/2.55 , s:1, b:0),
% 2.11/2.55 'class_Finite__Set_Ofinite_Ofinite' [137, 1] (w:1, o:119, a:1, s:1
% 2.11/2.55 , b:0),
% 2.11/2.55 'class_HOL_Oord' [139, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.11/2.55 'class_Lattices_Obounded__lattice' [140, 1] (w:1, o:121, a:1, s:1, b:
% 2.11/2.55 0),
% 2.11/2.55 'class_Orderings_Obot' [141, 1] (w:1, o:122, a:1, s:1, b:0),
% 2.11/2.55 'class_Orderings_Opreorder' [144, 1] (w:1, o:123, a:1, s:1, b:0),
% 2.11/2.55 'c_fequal' [149, 2] (w:1, o:164, a:1, s:1, b:0),
% 2.11/2.55 'class_OrderedGroup_Opordered__ab__group__add' [150, 1] (w:1, o:124
% 12.67/13.13 , a:1, s:1, b:0),
% 12.67/13.13 't_b' [156, 0] (w:1, o:84, a:1, s:1, b:0),
% 12.67/13.13 'c_Hoare__Mirabelle_Otriple_Otriple' [157, 4] (w:1, o:181, a:1, s:1
% 12.67/13.13 , b:0),
% 12.67/13.13 'c_Hoare__Mirabelle_Otriple_Otriple__case' [158, 4] (w:1, o:182, a:1
% 12.67/13.13 , s:1, b:0),
% 12.67/13.13 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [161, 4] (w:1, o:183, a:1
% 12.67/13.13 , s:1, b:0),
% 12.67/13.13 'v_P' [162, 0] (w:1, o:85, a:1, s:1, b:0),
% 12.67/13.13 'c_Hoare__Mirabelle_Ohoare__derivs' [164, 3] (w:1, o:176, a:1, s:1
% 12.67/13.13 , b:0),
% 12.67/13.13 'tc_Hoare__Mirabelle_Otriple' [166, 1] (w:1, o:125, a:1, s:1, b:0),
% 12.67/13.13 'v_Q' [167, 0] (w:1, o:87, a:1, s:1, b:0),
% 12.67/13.13 't_c' [168, 0] (w:1, o:88, a:1, s:1, b:0),
% 12.67/13.13 'v_R' [169, 0] (w:1, o:89, a:1, s:1, b:0),
% 12.67/13.13 'c_Not' [170, 0] (w:1, o:90, a:1, s:1, b:0),
% 12.67/13.13 'tc_Com_Ostate' [171, 0] (w:1, o:91, a:1, s:1, b:0),
% 12.67/13.13 'c_Hoare__Mirabelle_Opeek__and' [172, 3] (w:1, o:177, a:1, s:1, b:0)
% 12.67/13.13 ,
% 12.67/13.13 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [173, 2] (w:1, o:165, a:1
% 12.67/13.13 , s:1, b:0),
% 12.67/13.13 'c_Set_Ocontents' [174, 2] (w:1, o:157, a:1, s:1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [176, 6] (w:1
% 12.67/13.13 , o:195, a:1, s:1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [177, 4] (w:1
% 12.67/13.13 , o:185, a:1, s:1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xconseq12__3' [180, 4] (w:1, o:188, a:1, s:
% 12.67/13.13 1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xconseq12__2' [181, 4] (w:1, o:187, a:1, s:
% 12.67/13.13 1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [182, 6] (w:
% 12.67/13.13 1, o:196, a:1, s:1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [183, 4] (w:
% 12.67/13.13 1, o:190, a:1, s:1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [184, 4] (w:
% 12.67/13.13 1, o:189, a:1, s:1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [185, 4] (w:1
% 12.67/13.13 , o:184, a:1, s:1, b:0),
% 12.67/13.13 'v_sko__Hoare__Mirabelle__Xconseq12__1' [186, 4] (w:1, o:186, a:1, s:
% 12.67/13.13 1, b:0),
% 12.67/13.13 'v_G' [190, 0] (w:1, o:94, a:1, s:1, b:0),
% 12.67/13.13 'v_P_H' [191, 0] (w:1, o:86, a:1, s:1, b:0),
% 12.67/13.13 'v_c' [192, 0] (w:1, o:95, a:1, s:1, b:0).
% 12.67/13.13
% 12.67/13.13
% 12.67/13.13 Starting Search:
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13
% 12.67/13.13 Intermediate Status:
% 12.67/13.13 Generated: 6169
% 12.67/13.13 Kept: 2079
% 12.67/13.13 Inuse: 175
% 12.67/13.13 Deleted: 6
% 12.67/13.13 Deletedinuse: 0
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13
% 12.67/13.13 Intermediate Status:
% 12.67/13.13 Generated: 10585
% 12.67/13.13 Kept: 4085
% 12.67/13.13 Inuse: 246
% 12.67/13.13 Deleted: 12
% 12.67/13.13 Deletedinuse: 5
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13
% 12.67/13.13 Intermediate Status:
% 12.67/13.13 Generated: 19088
% 12.67/13.13 Kept: 6155
% 12.67/13.13 Inuse: 306
% 12.67/13.13 Deleted: 21
% 12.67/13.13 Deletedinuse: 6
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13
% 12.67/13.13 Intermediate Status:
% 12.67/13.13 Generated: 29280
% 12.67/13.13 Kept: 8612
% 12.67/13.13 Inuse: 346
% 12.67/13.13 Deleted: 23
% 12.67/13.13 Deletedinuse: 6
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13
% 12.67/13.13 Intermediate Status:
% 12.67/13.13 Generated: 39631
% 12.67/13.13 Kept: 10831
% 12.67/13.13 Inuse: 385
% 12.67/13.13 Deleted: 23
% 12.67/13.13 Deletedinuse: 6
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13 Resimplifying inuse:
% 12.67/13.13 Done
% 12.67/13.13
% 12.67/13.13
% 12.67/13.13 Intermediate Status:
% 12.67/13.13 Generated: 50194
% 12.67/13.13 Kept: 12881
% 12.67/13.13 Inuse: 414
% 12.67/13.13 Deleted: 26
% 12.67/13.13 Deletedinuse: 8
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14
% 12.67/13.14 Intermediate Status:
% 12.67/13.14 Generated: 61822
% 12.67/13.14 Kept: 15095
% 12.67/13.14 Inuse: 428
% 12.67/13.14 Deleted: 26
% 12.67/13.14 Deletedinuse: 8
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14
% 12.67/13.14 Intermediate Status:
% 12.67/13.14 Generated: 73725
% 12.67/13.14 Kept: 17187
% 12.67/13.14 Inuse: 489
% 12.67/13.14 Deleted: 54
% 12.67/13.14 Deletedinuse: 12
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14
% 12.67/13.14 Intermediate Status:
% 12.67/13.14 Generated: 87026
% 12.67/13.14 Kept: 19250
% 12.67/13.14 Inuse: 533
% 12.67/13.14 Deleted: 61
% 12.67/13.14 Deletedinuse: 15
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14 Resimplifying clauses:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14
% 12.67/13.14 Intermediate Status:
% 12.67/13.14 Generated: 103891
% 12.67/13.14 Kept: 21659
% 12.67/13.14 Inuse: 560
% 12.67/13.14 Deleted: 222
% 12.67/13.14 Deletedinuse: 15
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14
% 12.67/13.14 Intermediate Status:
% 12.67/13.14 Generated: 111603
% 12.67/13.14 Kept: 24442
% 12.67/13.14 Inuse: 570
% 12.67/13.14 Deleted: 251
% 12.67/13.14 Deletedinuse: 16
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14 Resimplifying inuse:
% 12.67/13.14 Done
% 12.67/13.14
% 12.67/13.14
% 12.67/13.14 Intermediate Status:
% 12.67/13.14 Generated: 122047
% 12.67/13.14 Kept: 26461
% 12.67/13.14 Inuse: 600
% 12.67/13.14 Deleted: 251
% 57.39/57.85 Deletedinuse: 16
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 132291
% 57.39/57.85 Kept: 28480
% 57.39/57.85 Inuse: 632
% 57.39/57.85 Deleted: 251
% 57.39/57.85 Deletedinuse: 16
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 144612
% 57.39/57.85 Kept: 30498
% 57.39/57.85 Inuse: 680
% 57.39/57.85 Deleted: 255
% 57.39/57.85 Deletedinuse: 20
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 168430
% 57.39/57.85 Kept: 34078
% 57.39/57.85 Inuse: 741
% 57.39/57.85 Deleted: 256
% 57.39/57.85 Deletedinuse: 20
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 182870
% 57.39/57.85 Kept: 36156
% 57.39/57.85 Inuse: 791
% 57.39/57.85 Deleted: 256
% 57.39/57.85 Deletedinuse: 20
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 197056
% 57.39/57.85 Kept: 38243
% 57.39/57.85 Inuse: 826
% 57.39/57.85 Deleted: 261
% 57.39/57.85 Deletedinuse: 25
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 209881
% 57.39/57.85 Kept: 40689
% 57.39/57.85 Inuse: 836
% 57.39/57.85 Deleted: 261
% 57.39/57.85 Deletedinuse: 25
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying clauses:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 220052
% 57.39/57.85 Kept: 43131
% 57.39/57.85 Inuse: 846
% 57.39/57.85 Deleted: 772
% 57.39/57.85 Deletedinuse: 25
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 235017
% 57.39/57.85 Kept: 45285
% 57.39/57.85 Inuse: 886
% 57.39/57.85 Deleted: 772
% 57.39/57.85 Deletedinuse: 25
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 250524
% 57.39/57.85 Kept: 48213
% 57.39/57.85 Inuse: 906
% 57.39/57.85 Deleted: 772
% 57.39/57.85 Deletedinuse: 25
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 263761
% 57.39/57.85 Kept: 50504
% 57.39/57.85 Inuse: 935
% 57.39/57.85 Deleted: 773
% 57.39/57.85 Deletedinuse: 25
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 282194
% 57.39/57.85 Kept: 52523
% 57.39/57.85 Inuse: 969
% 57.39/57.85 Deleted: 776
% 57.39/57.85 Deletedinuse: 27
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 311543
% 57.39/57.85 Kept: 54540
% 57.39/57.85 Inuse: 998
% 57.39/57.85 Deleted: 776
% 57.39/57.85 Deletedinuse: 27
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 323112
% 57.39/57.85 Kept: 56703
% 57.39/57.85 Inuse: 1000
% 57.39/57.85 Deleted: 776
% 57.39/57.85 Deletedinuse: 27
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 333108
% 57.39/57.85 Kept: 58709
% 57.39/57.85 Inuse: 1029
% 57.39/57.85 Deleted: 776
% 57.39/57.85 Deletedinuse: 27
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 344154
% 57.39/57.85 Kept: 60757
% 57.39/57.85 Inuse: 1064
% 57.39/57.85 Deleted: 777
% 57.39/57.85 Deletedinuse: 28
% 57.39/57.85
% 57.39/57.85 Resimplifying clauses:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 355880
% 57.39/57.85 Kept: 62861
% 57.39/57.85 Inuse: 1084
% 57.39/57.85 Deleted: 1097
% 57.39/57.85 Deletedinuse: 28
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 378345
% 57.39/57.85 Kept: 64911
% 57.39/57.85 Inuse: 1122
% 57.39/57.85 Deleted: 1097
% 57.39/57.85 Deletedinuse: 28
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 393269
% 57.39/57.85 Kept: 67337
% 57.39/57.85 Inuse: 1144
% 57.39/57.85 Deleted: 1097
% 57.39/57.85 Deletedinuse: 28
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 414590
% 57.39/57.85 Kept: 70026
% 57.39/57.85 Inuse: 1169
% 57.39/57.85 Deleted: 1098
% 57.39/57.85 Deletedinuse: 29
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 426797
% 57.39/57.85 Kept: 72101
% 57.39/57.85 Inuse: 1203
% 57.39/57.85 Deleted: 1100
% 57.39/57.85 Deletedinuse: 30
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 439462
% 57.39/57.85 Kept: 74385
% 57.39/57.85 Inuse: 1241
% 57.39/57.85 Deleted: 1104
% 57.39/57.85 Deletedinuse: 32
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 445426
% 57.39/57.85 Kept: 76463
% 57.39/57.85 Inuse: 1251
% 57.39/57.85 Deleted: 1105
% 57.39/57.85 Deletedinuse: 33
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 458392
% 57.39/57.85 Kept: 79007
% 57.39/57.85 Inuse: 1256
% 57.39/57.85 Deleted: 1105
% 57.39/57.85 Deletedinuse: 33
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying inuse:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85 Resimplifying clauses:
% 57.39/57.85 Done
% 57.39/57.85
% 57.39/57.85
% 57.39/57.85 Intermediate Status:
% 57.39/57.85 Generated: 472628
% 57.39/57.85 Kept: 81138
% 228.40/228.86 Inuse: 1296
% 228.40/228.86 Deleted: 1407
% 228.40/228.86 Deletedinuse: 33
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 496482
% 228.40/228.86 Kept: 83261
% 228.40/228.86 Inuse: 1326
% 228.40/228.86 Deleted: 1407
% 228.40/228.86 Deletedinuse: 33
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 534957
% 228.40/228.86 Kept: 86307
% 228.40/228.86 Inuse: 1371
% 228.40/228.86 Deleted: 1409
% 228.40/228.86 Deletedinuse: 35
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 563918
% 228.40/228.86 Kept: 89029
% 228.40/228.86 Inuse: 1381
% 228.40/228.86 Deleted: 1409
% 228.40/228.86 Deletedinuse: 35
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 578072
% 228.40/228.86 Kept: 91808
% 228.40/228.86 Inuse: 1386
% 228.40/228.86 Deleted: 1409
% 228.40/228.86 Deletedinuse: 35
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 593024
% 228.40/228.86 Kept: 94309
% 228.40/228.86 Inuse: 1387
% 228.40/228.86 Deleted: 1414
% 228.40/228.86 Deletedinuse: 40
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 608212
% 228.40/228.86 Kept: 96316
% 228.40/228.86 Inuse: 1438
% 228.40/228.86 Deleted: 1653
% 228.40/228.86 Deletedinuse: 279
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 634702
% 228.40/228.86 Kept: 98321
% 228.40/228.86 Inuse: 1498
% 228.40/228.86 Deleted: 1654
% 228.40/228.86 Deletedinuse: 280
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 660710
% 228.40/228.86 Kept: 100456
% 228.40/228.86 Inuse: 1553
% 228.40/228.86 Deleted: 1681
% 228.40/228.86 Deletedinuse: 307
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying clauses:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 693105
% 228.40/228.86 Kept: 102458
% 228.40/228.86 Inuse: 1626
% 228.40/228.86 Deleted: 11600
% 228.40/228.86 Deletedinuse: 308
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 715527
% 228.40/228.86 Kept: 104800
% 228.40/228.86 Inuse: 1648
% 228.40/228.86 Deleted: 11600
% 228.40/228.86 Deletedinuse: 308
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 757012
% 228.40/228.86 Kept: 106813
% 228.40/228.86 Inuse: 1692
% 228.40/228.86 Deleted: 11648
% 228.40/228.86 Deletedinuse: 310
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 790997
% 228.40/228.86 Kept: 108854
% 228.40/228.86 Inuse: 1727
% 228.40/228.86 Deleted: 11648
% 228.40/228.86 Deletedinuse: 310
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 837700
% 228.40/228.86 Kept: 111161
% 228.40/228.86 Inuse: 1768
% 228.40/228.86 Deleted: 11648
% 228.40/228.86 Deletedinuse: 310
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 928137
% 228.40/228.86 Kept: 113163
% 228.40/228.86 Inuse: 1901
% 228.40/228.86 Deleted: 11648
% 228.40/228.86 Deletedinuse: 310
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 1106364
% 228.40/228.86 Kept: 115163
% 228.40/228.86 Inuse: 2072
% 228.40/228.86 Deleted: 11661
% 228.40/228.86 Deletedinuse: 310
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 1184868
% 228.40/228.86 Kept: 117165
% 228.40/228.86 Inuse: 2159
% 228.40/228.86 Deleted: 11701
% 228.40/228.86 Deletedinuse: 310
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 1294653
% 228.40/228.86 Kept: 119167
% 228.40/228.86 Inuse: 2289
% 228.40/228.86 Deleted: 11740
% 228.40/228.86 Deletedinuse: 333
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 1454474
% 228.40/228.86 Kept: 121250
% 228.40/228.86 Inuse: 2387
% 228.40/228.86 Deleted: 11747
% 228.40/228.86 Deletedinuse: 336
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying clauses:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 1544625
% 228.40/228.86 Kept: 123282
% 228.40/228.86 Inuse: 2517
% 228.40/228.86 Deleted: 14593
% 228.40/228.86 Deletedinuse: 338
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 1713903
% 228.40/228.86 Kept: 125287
% 228.40/228.86 Inuse: 2707
% 228.40/228.86 Deleted: 14594
% 228.40/228.86 Deletedinuse: 338
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 1930003
% 228.40/228.86 Kept: 127291
% 228.40/228.86 Inuse: 3039
% 228.40/228.86 Deleted: 14598
% 228.40/228.86 Deletedinuse: 341
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 2088521
% 228.40/228.86 Kept: 129494
% 228.40/228.86 Inuse: 3205
% 228.40/228.86 Deleted: 14598
% 228.40/228.86 Deletedinuse: 341
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86
% 228.40/228.86 Intermediate Status:
% 228.40/228.86 Generated: 2186090
% 228.40/228.86 Kept: 131516
% 228.40/228.86 Inuse: 3244
% 228.40/228.86 Deleted: 14606
% 228.40/228.86 Deletedinuse: 346
% 228.40/228.86
% 228.40/228.86 Resimplifying inuse:
% 228.40/228.86 Done
% 228.40/228.86
% 228.40/228.86 Resimplifying iCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------