TSTP Solution File: SWV841-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV841-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 16:28:47 EDT 2022
% Result : Timeout 300.02s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV841-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Wed Jun 15 11:17:54 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.87/1.25 *** allocated 10000 integers for termspace/termends
% 0.87/1.25 *** allocated 10000 integers for clauses
% 0.87/1.25 *** allocated 10000 integers for justifications
% 0.87/1.25 *** allocated 15000 integers for termspace/termends
% 0.87/1.25 Bliksem 1.12
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Automatic Strategy Selection
% 0.87/1.25
% 0.87/1.25 Clauses:
% 0.87/1.25 [
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~( 'c_lessequals'( Y,
% 0.87/1.25 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.87/1.25 , T, X ), X ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.87/1.25 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 0.87/1.25 , 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( X, Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.87/1.25 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.87/1.25 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.87/1.25 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.87/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.87/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Y, Z ), U ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.25 , ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, hAPP(
% 0.87/1.25 'c_Set_Oimage'( Z, T, Y ), U ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( U, T ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.87/1.25 , ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, W, T ), U ), Z, 'tc_fun'( T
% 0.87/1.25 , 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.87/1.25 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 0.87/1.25 T ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.87/1.25 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 0.87/1.25 ), hBOOL( 'c_in'( hAPP( X, Z ), hAPP( 'c_Set_Oimage'( X, Y, U ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 , X ), X, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'(
% 0.87/1.25 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'(
% 0.87/1.25 X, Y ),
% 0.87/1.25 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'(
% 0.87/1.25 X, Y ), Y ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), ~( 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~(
% 0.87/1.25 'c_Fun_Oinj__on'( Y, T, Z, X ) ), 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), U ), Z, X ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( Y, Z, X ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( U, T, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), U ), Z, X ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.25 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 0.87/1.25 X, T ) ) ],
% 0.87/1.25 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.87/1.25 , T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Z, X ), 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oimage'( X
% 0.87/1.25 , Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), Y ), Z ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ), Z ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.25 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.87/1.25 U, W ) ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.25 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.87/1.25 =( Y, Z ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.87/1.25 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.87/1.25 =( Y, Z ) ],
% 0.87/1.25 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.87/1.25 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.87/1.25 , U ) ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ),
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.87/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), X ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , X ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.87/1.25 X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ),
% 0.87/1.25 X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ), X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), X ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), X ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.25 hAPP( hAPP( U, Z ), Y ) ) ), ~( 'c_Orderings_Oorder'( X, U, T ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.25 , T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.25 , T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.87/1.25 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( Y, T, X ), U ) ), hAPP( 'c_Set_Oimage'( Y, T, X ), U ) )
% 0.87/1.25 , ~( hBOOL( 'c_in'( Z, U, T ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.87/1.25 , Z ) ), ~( 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y )
% 0.87/1.25 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 ), hBOOL( 'c_in'( T, X, Z ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP(
% 0.87/1.25 'c_Set_Ovimage'( X, Y, Z ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( T, U, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X,
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X,
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( W, X, U ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 X ), Y ), 'c_Complete__Lattice_OInf__class_OInf'( Z, X ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T,
% 0.87/1.25 U, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.25 'c_Set_Ovimage'( X, Y, Z ), T ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T
% 0.87/1.25 ), Y ), hAPP( hAPP( X, Z ), 'c_Finite__Set_Ofold1'( X, T, Y ) ) ), hBOOL(
% 0.87/1.25 'c_in'( Z, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), =( T,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_OrderedGroup_Oab__semigroup__mult'( X, Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Ovimage'(
% 0.87/1.25 X, Y, Z ), T ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.25 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, X ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.87/1.25 , T ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.87/1.25 , Z ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), Z ), X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 X ), Y ), 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.87/1.25 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.25 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, X ) ), hBOOL( hAPP( hAPP( Y
% 0.87/1.25 , Z ), T ) ), ~( 'c_Orderings_Oorder'( Y, U, X ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, X ) ) ), ~(
% 0.87/1.25 'c_Orderings_Oorder'( Y, U, X ) ), ~( hBOOL( hAPP( hAPP( Y, Z ), T ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.25 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.87/1.25 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y
% 0.87/1.25 , Z ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , T ), U ), Y, Z ) ), =( T, U ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.87/1.25 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ), 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.87/1.25 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.87/1.25 , U ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.87/1.25 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.87/1.25 , U ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.87/1.25 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z ), ~( 'c_Fun_Oinj__on'( X,
% 0.87/1.25 Z, Y, Y ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Y ), Z ), Z,
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.87/1.25 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.87/1.25 'c_Set_Oimage'( Z, W, T ), X ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.25 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 0.87/1.25 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), X ) ],
% 0.87/1.25 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), Z ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.87/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.87/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ),
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), Z ),
% 0.87/1.25 ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' )
% 0.87/1.25 , U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U,
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.87/1.25 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.87/1.25 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.87/1.25 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.87/1.25 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.87/1.25 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.87/1.25 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.87/1.25 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.87/1.25 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.87/1.25 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 0.87/1.25 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ), hAPP( T, Y ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.25 'c_in'( X, T, Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.87/1.25 'c_SetInterval_Oord_OatLeastAtMost'( X, U, W, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.25 ) ), ~( hBOOL( hAPP( hAPP( X, Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U )
% 0.87/1.25 , Y ) ) ), ~( 'c_Orderings_Oorder'( X, V0, T ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.87/1.25 'c_SetInterval_Oord_OatLeastAtMost'( X, U, W, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.25 ) ), hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( 'c_Orderings_Oorder'( X, V0, T
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Y ) )
% 0.87/1.25 ), ~( 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, T, Y, U )
% 0.87/1.25 , 'c_SetInterval_Oord_OatLeastAtMost'( X, W, Z, U ), 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Orderings_Oorder'( X, V0, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) )
% 0.87/1.25 ), ~( 'c_lessequals'( 'c_SetInterval_Oord_OatLeastAtMost'( X, Z, T, U )
% 0.87/1.25 , 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, W, U ), 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Orderings_Oorder'( X, V0, U ) ) ],
% 0.87/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.87/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.87/1.25 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.87/1.25 , Y, X ), Z, X ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Z, Y, X ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.25 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.87/1.25 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.87/1.25 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.25 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), T ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X )
% 0.87/1.25 , ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ), X ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), U ), Z ) ), ~(
% 0.87/1.25 hBOOL( 'c_in'( hAPP( Y, X ), U, T ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.87/1.25 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.87/1.25 'c_Set_Ovimage'( X, U, T ), Z ), U ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.87/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.87/1.25 , V3, V4, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.87/1.25 , V3, V4, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.25 'c_SetInterval_Oord_OatLeastAtMost'( X, T, Z, U ), U ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Z,
% 0.87/1.25 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, T, U ), U ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.87/1.25 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 Z, 'c_COMBB'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.87/1.25 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.87/1.25 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.87/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y
% 0.87/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ), ~(
% 0.87/1.25 'c_OrderedGroup_Oab__semigroup__mult'( T, X ) ), =(
% 0.87/1.25 'c_Finite__Set_Ofold1'( T, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), hAPP( hAPP( T, 'c_Finite__Set_Ofold1'( T, Y, X ) ),
% 0.87/1.25 'c_Finite__Set_Ofold1'( T, Z, X ) ) ) ],
% 0.87/1.25 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.87/1.25 Y, X ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.87/1.25 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( U, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), 'tc_fun'( Z
% 0.87/1.25 , 'tc_bool' ) ) ), T ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), Y ), U ), Z, T ) ) ],
% 0.87/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.87/1.25 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.87/1.25 , Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y
% 0.87/1.25 ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ),
% 0.87/1.25 hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), X ), Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , X ), T ), Y ) ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Z, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , U ), Y ), Z, T ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , Y ), U ), Z, T ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( T, Z, U ), Y ), U ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ), U ), T )
% 0.87/1.25 ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( 'c_Set_Oimage'( X, Z, T ), U ), T )
% 0.87/1.25 ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), Y ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), T,
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ) ), hAPP(
% 0.87/1.25 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.87/1.25 'c_Finite__Set_Ofun__left__comm__idem'(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), X, X ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.87/1.25 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( T,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.87/1.25 , V2, Z, Y ) ) ],
% 0.87/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.87/1.25 , Z, V2, Y ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ) ), Y ), Y ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), X ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( Y, Z, X ), T ) ) ), =( T, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.25 , 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y, Z ) ],
% 0.87/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.87/1.25 'c_Nitpick_Osko__Nitpick__XEx1__def__1__2'( X, Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.87/1.25 hAPP( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__1'( X, Z, Y ) ) ), ~(
% 0.87/1.25 hBOOL( hAPP( X, Z ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Z )
% 0.87/1.25 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ) ), hAPP( 'c_Set_Ovimage'( X, Y, Z ), U ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), Z ), ~( hBOOL(
% 0.87/1.25 'c_in'( Y, Z, X ) ) ) ],
% 0.87/1.25 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, hAPP( 'c_Set_Ovimage'( X, T
% 0.87/1.25 , U ), hAPP( hAPP( 'c_Set_Oinsert'( U ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ), T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ), X ), X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.25 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z, X )
% 0.87/1.25 ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y, X )
% 0.87/1.25 ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), Z, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.87/1.25 hAPP( X, Y ), Z ) ), ~( 'c_Orderings_Oorder'( X, U, T ) ) ],
% 0.87/1.25 [ ~( =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Z, T ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), ~(
% 0.87/1.25 'c_Orderings_Oorder'( X, U, T ) ), ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( 'c_Set_Oimage'( T, U, Y ), W
% 0.87/1.25 ) ), hAPP( 'c_Set_Oimage'( 'c_COMBB'( X, T, Y, Z, U ), U, Z ), W ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 T, 'c_COMBB'( 'c_Set_Oimage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' ),
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ),
% 0.87/1.25 Z ) ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, T, U ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), Y
% 0.87/1.25 ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), Y ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ), Y ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Ovimage'( X, Y, Z ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, U, W, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 T, 'c_COMBB'( 'c_Set_Ovimage'( X, Y, Z ), U, 'tc_fun'( Z, 'tc_bool' ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ), W ), W, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_COMBB'( X, Y, Z, 'tc_fun'(
% 0.87/1.25 T, T ), U ), U, T ), ~( 'c_Finite__Set_Ofun__left__comm__idem'( X, Z, T )
% 0.87/1.25 ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, 'c_SetInterval_Oord_OatLeastAtMost'( Y, Z, T, U ), U
% 0.87/1.25 ) ), ~( hBOOL( hAPP( hAPP( Y, X ), T ) ) ), ~( hBOOL( hAPP( hAPP( Y, Z )
% 0.87/1.25 , X ) ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ),
% 0.87/1.25 X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.25 X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ), Z, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), X ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.87/1.25 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.87/1.25 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.87/1.25 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.25 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.87/1.25 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Y, Z ), T ), U, Z, 'tc_fun'( W, 'tc_bool' ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, 'c_COMBB'( U, X
% 0.87/1.25 , Z, 'tc_fun'( W, 'tc_bool' ), Y ), Y, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), T ), U ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( Z, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.25 , T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), 'c_HOL_Ominus__class_Ominus'( T, U
% 0.87/1.25 , 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Y, Z ), T ), hAPP( 'c_Set_Oimage'( X, Y, Z ), U ),
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( U, W, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 ~( 'c_Fun_Oinj__on'( X, W, Y, Z ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( X, Z, Y ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.87/1.25 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.87/1.25 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_Set_Ovimage'( Y, T, U ), X ), Z ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( 'c_Set_Ovimage'( X, Y, Z ), T ), U ) ), ~( hBOOL(
% 0.87/1.25 hAPP( T, hAPP( X, U ) ) ) ) ],
% 0.87/1.25 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.87/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.87/1.25 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.87/1.25 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.87/1.25 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.87/1.25 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.87/1.25 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 Z, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.25 Z, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.87/1.25 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.25 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.87/1.25 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.25 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( hAPP( 'c_Set_Oimage'( X, Y, Z ), T ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( T, U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.87/1.25 hAPP( 'c_Set_Oimage'( T, Z, U ), X ), hAPP( 'c_Set_Oimage'( T, Z, U ), Y
% 0.87/1.25 ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , 'c_SetInterval_Oord__class_OlessThan'( Y, X ) ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.87/1.25 ~( 'c_Finite__Set_Ofinite'( hAPP( 'c_Set_Oimage'( Z, Y, T ), X ), T ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 Z, 'c_COMBB'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), Y ), T, 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X
% 0.87/1.25 , 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.25 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.25 , T ), U ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oimage'( X, Y, Z ), T ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.87/1.25 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Y, Z, X ) ) ) ],
% 0.87/1.25 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.25 [ ~( =( 'c_Nitpick_Osko__Nitpick__XEx1__def__1__1'( X, Y, Z ), Y ) ),
% 0.87/1.25 ~( hBOOL( hAPP( X, Y ) ) ), =( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ),
% 0.87/1.25 'c_Nitpick_Osko__Nitpick__XEx1__def__1__2'( X, Z ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), Z, Y ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBB'(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, U, 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_SetInterval_Oord_OatLeastAtMost'( X, Y, Y, Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ), ~( 'c_Orderings_Oorder'( X, T, Z ) ) ],
% 0.87/1.25 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.87/1.25 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'(
% 0.87/1.25 X, Y ) ),
% 0.87/1.25 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'(
% 0.87/1.25 X, Y ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.87/1.25 ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Ovimage'( Y, Z, T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( T ), hAPP( Y, X ) ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( T, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, U, 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 Z, 'c_COMBB'( hAPP( 'c_Set_Oinsert'( X ), Y ), T, 'tc_fun'( X, 'tc_bool'
% 0.87/1.25 ), 'tc_fun'( X, 'tc_bool' ), U ), U, 'tc_fun'( X, 'tc_bool' ) ) ), =( Z
% 0.87/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.87/1.25 'c_in'( Y, Z, X ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), =( 'c_Finite__Set_Ofold1'( T
% 0.87/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( U ), W ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( U, 'tc_bool' ) ) ), U ), W ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'c_SetInterval_Oord__class_OlessThan'( Y, X
% 0.87/1.25 ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool'
% 0.87/1.25 ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y )
% 0.87/1.25 , Z ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X
% 0.87/1.25 , 'tc_bool' ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.87/1.25 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_lessequals'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_lessequals'( Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.87/1.25 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 0.87/1.25 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.87/1.25 [ =( hAPP( 'c_Set_Oimage'( X, Y, Z ), hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.87/1.25 T ), U ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), hAPP( X, T ) ), hAPP(
% 0.87/1.25 'c_Set_Oimage'( X, Y, Z ), U ) ) ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.87/1.25 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.25 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.87/1.25 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 0.87/1.25 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), X ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Y ), T ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.87/1.25 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , Z ), T ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ),
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.25 hAPP( hAPP( 'c_Set_Oinsert'( Z ), T ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Finite__Set_Ofun__left__comm__idem'( 'c_Set_Oinsert'( X ), X,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 0.87/1.25 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 0.87/1.25 Y, Z, X ) ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.87/1.25 T, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( T,
% 0.87/1.25 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( 'c_lessequals'( Y,
% 0.87/1.25 X, 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.87/1.25 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.87/1.25 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.87/1.25 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.87/1.25 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.87/1.25 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.87/1.25 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.25 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.87/1.25 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.87/1.25 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 0.87/1.25 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 Y ), 'tc_bool' ) ) ), Y ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 0.87/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.25 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 0.87/1.25 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.25 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( 'c_Collect'( 'c_fequal'( X, Y ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) )
% 0.87/1.25 ],
% 0.87/1.25 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_lessequals'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OSup__class_OSup'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.87/1.25 , Y ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 0.87/1.25 ) ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 0.87/1.25 ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.87/1.25 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.87/1.25 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), 'tc_fun'( Y
% 0.87/1.25 , 'tc_bool' ) ), T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ),
% 0.87/1.25 Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.25 Y, 'tc_bool' ) ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 0.87/1.25 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 0.87/1.25 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 0.87/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.25 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 0.87/1.25 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 Z, hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ), 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 0.87/1.25 'c_in'( Y, Z, X ) ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.25 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 0.87/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.25 'c_Complete__Lattice_OInf__class_OInf'( hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.25 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X )
% 0.87/1.25 , Y ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.25 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 0.87/1.25 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.87/1.25 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.87/1.25 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 0.87/1.25 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.25 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 0.87/1.26 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 0.87/1.26 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 0.87/1.26 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 0.87/1.26 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.26 ) ), Y ) ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.87/1.26 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 0.87/1.26 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.26 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 0.87/1.26 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.26 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.26 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 0.87/1.26 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 0.87/1.26 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.26 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.26 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 0.87/1.26 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 0.87/1.26 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 0.87/1.26 hBOOL( hAPP( Z, T ) ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 0.87/1.26 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 0.87/1.26 'v_ts' ), 't_a' ) ],
% 0.87/1.26 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'v_ts', 't_a' ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP( 'c_Set_Oinsert'(
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 'v_t' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 0.87/1.26 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.87/1.26 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.26 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.26 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.26 Y ) ) ],
% 0.87/1.26 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.46 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.46 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.89/1.46 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.89/1.46 ] .
% 0.89/1.46
% 0.89/1.46
% 0.89/1.46 percentage equality = 0.290744, percentage horn = 0.880952
% 0.89/1.46 This is a problem with some equality
% 0.89/1.46
% 0.89/1.46
% 0.89/1.46
% 0.89/1.46 Options Used:
% 0.89/1.46
% 0.89/1.46 useres = 1
% 0.89/1.46 useparamod = 1
% 0.89/1.46 useeqrefl = 1
% 0.89/1.46 useeqfact = 1
% 0.89/1.46 usefactor = 1
% 0.89/1.46 usesimpsplitting = 0
% 0.89/1.46 usesimpdemod = 5
% 0.89/1.46 usesimpres = 3
% 0.89/1.46
% 0.89/1.46 resimpinuse = 1000
% 0.89/1.46 resimpclauses = 20000
% 0.89/1.46 substype = eqrewr
% 0.89/1.46 backwardsubs = 1
% 0.89/1.46 selectoldest = 5
% 0.89/1.46
% 0.89/1.46 litorderings [0] = split
% 0.89/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.46
% 0.89/1.46 termordering = kbo
% 0.89/1.46
% 0.89/1.46 litapriori = 0
% 0.89/1.46 termapriori = 1
% 0.89/1.46 litaposteriori = 0
% 0.89/1.46 termaposteriori = 0
% 0.89/1.46 demodaposteriori = 0
% 0.89/1.46 ordereqreflfact = 0
% 0.89/1.46
% 0.89/1.46 litselect = negord
% 0.89/1.46
% 0.89/1.46 maxweight = 15
% 0.89/1.46 maxdepth = 30000
% 0.89/1.46 maxlength = 115
% 0.89/1.46 maxnrvars = 195
% 0.89/1.46 excuselevel = 1
% 0.89/1.46 increasemaxweight = 1
% 0.89/1.46
% 0.89/1.46 maxselected = 10000000
% 0.89/1.46 maxnrclauses = 10000000
% 0.89/1.46
% 0.89/1.46 showgenerated = 0
% 0.89/1.46 showkept = 0
% 0.89/1.46 showselected = 0
% 0.89/1.46 showdeleted = 0
% 0.89/1.46 showresimp = 1
% 0.89/1.46 showstatus = 2000
% 0.89/1.46
% 0.89/1.46 prologoutput = 1
% 0.89/1.46 nrgoals = 5000000
% 0.89/1.46 totalproof = 1
% 0.89/1.46
% 0.89/1.46 Symbols occurring in the translation:
% 0.89/1.46
% 0.89/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.46 . [1, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.89/1.46 ! [4, 1] (w:0, o:80, a:1, s:1, b:0),
% 0.89/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.46 'class_Lattices_Olower__semilattice' [40, 1] (w:1, o:85, a:1, s:1, b:
% 0.89/1.46 0),
% 0.89/1.46 'c_lessequals' [43, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.89/1.46 'c_in' [45, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.89/1.46 hBOOL [46, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.89/1.46 'c_Lattices_Olower__semilattice__class_Oinf' [47, 1] (w:1, o:87, a:1
% 0.89/1.46 , s:1, b:0),
% 0.89/1.46 'c_Finite__Set_Ofold1' [48, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.89/1.46 'tc_bool' [49, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.89/1.46 'tc_fun' [50, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.89/1.46 'c_Orderings_Obot__class_Obot' [51, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.89/1.46 'c_Finite__Set_Ofinite' [52, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.89/1.46 'c_Set_Oinsert' [53, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.89/1.46 hAPP [54, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.89/1.46 'c_HOL_Ominus__class_Ominus' [56, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.89/1.46 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [59, 4] (w:1
% 0.89/1.46 , o:167, a:1, s:1, b:0),
% 0.89/1.46 'class_Complete__Lattice_Ocomplete__lattice' [60, 1] (w:1, o:90, a:1
% 0.89/1.46 , s:1, b:0),
% 0.89/1.46 'c_Finite__Set_Ofold1Set' [64, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.89/1.46 'c_The' [65, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.89/1.46 'c_Set_Oimage' [66, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.89/1.46 'c_Fun_Oinj__on' [68, 4] (w:1, o:168, a:1, s:1, b:0),
% 0.89/1.46 'c_COMBK' [70, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.89/1.46 'class_Lattices_Olattice' [71, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.89/1.46 't_a' [72, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.89/1.46 'c_Lattices_Oupper__semilattice__class_Osup' [73, 1] (w:1, o:92, a:1
% 0.89/1.46 , s:1, b:0),
% 0.89/1.46 'v_x' [75, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.89/1.46 'class_Lattices_Odistrib__lattice' [76, 1] (w:1, o:93, a:1, s:1, b:0)
% 0.89/1.46 ,
% 0.89/1.46 'c_Collect' [80, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.89/1.46 'c_Orderings_Oorder' [83, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.89/1.46 'class_Lattices_Oupper__semilattice' [84, 1] (w:1, o:94, a:1, s:1, b:
% 0.89/1.46 0),
% 0.89/1.46 'c_COMBB' [85, 5] (w:1, o:180, a:1, s:1, b:0),
% 0.89/1.46
% 0.89/1.46 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1'
% 0.89/1.46 [87, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.89/1.46
% 0.89/1.46 'c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2'
% 0.89/1.46 [88, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.89/1.46 'class_OrderedGroup_Oab__group__add' [92, 1] (w:1, o:95, a:1, s:1, b:
% 0.89/1.46 0),
% 0.89/1.46 'class_Orderings_Olinorder' [95, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.89/1.46 'c_Finite__Set_Olinorder__class_OMax' [96, 2] (w:1, o:140, a:1, s:1
% 0.89/1.46 , b:0),
% 0.89/1.46 'c_Orderings_Olinorder' [98, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.89/1.46 'c_SetInterval_Oord__class_OlessThan' [99, 2] (w:1, o:134, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'c_SetInterval_Oord_OatLeastAtMost' [101, 4] (w:1, o:169, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'c_Set_Ovimage' [102, 3] (w:1, o:163, a:1, s:1, b:0),
% 6.99/7.43 'c_Complete__Lattice_OInf__class_OInf' [104, 2] (w:1, o:141, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'c_OrderedGroup_Oab__semigroup__mult' [106, 2] (w:1, o:144, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'c_Finite__Set_Ofun__left__comm__idem' [107, 3] (w:1, o:164, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'c_Com_Ocom_OSemi' [110, 2] (w:1, o:145, a:1, s:1, b:0),
% 6.99/7.43 'c_Complete__Lattice_OSup__class_OSup' [113, 2] (w:1, o:146, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'class_Orderings_Oorder' [118, 1] (w:1, o:97, a:1, s:1, b:0),
% 6.99/7.43 'c_SetInterval_Oord__class_OatLeastAtMost' [119, 3] (w:1, o:165, a:1
% 6.99/7.43 , s:1, b:0),
% 6.99/7.43 'c_Finite__Set_Olinorder__class_OMin' [123, 2] (w:1, o:147, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'c_Hoare__Mirabelle_Otriple_Otriple' [127, 4] (w:1, o:170, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'class_HOL_Ominus' [131, 1] (w:1, o:98, a:1, s:1, b:0),
% 6.99/7.43 'c_Complete__Lattice_Ocomplete__lattice' [138, 9] (w:1, o:183, a:1
% 6.99/7.43 , s:1, b:0),
% 6.99/7.43 'class_Finite__Set_Ofinite_Ofinite' [140, 1] (w:1, o:99, a:1, s:1, b:
% 6.99/7.43 0),
% 6.99/7.43 'class_HOL_Oord' [142, 1] (w:1, o:100, a:1, s:1, b:0),
% 6.99/7.43 'class_Lattices_Obounded__lattice' [143, 1] (w:1, o:101, a:1, s:1, b:
% 6.99/7.43 0),
% 6.99/7.43 'class_Orderings_Obot' [144, 1] (w:1, o:102, a:1, s:1, b:0),
% 6.99/7.43 'c_Nitpick_Osko__Nitpick__XEx1__def__1__2' [145, 2] (w:1, o:142, a:1
% 6.99/7.43 , s:1, b:0),
% 6.99/7.43 'c_Nitpick_Osko__Nitpick__XEx1__def__1__1' [146, 3] (w:1, o:160, a:1
% 6.99/7.43 , s:1, b:0),
% 6.99/7.43 'c_Com_Ocom_OSKIP' [147, 0] (w:1, o:70, a:1, s:1, b:0),
% 6.99/7.43 'class_Orderings_Opreorder' [148, 1] (w:1, o:103, a:1, s:1, b:0),
% 6.99/7.43 'c_fequal' [150, 2] (w:1, o:148, a:1, s:1, b:0),
% 6.99/7.43 'class_OrderedGroup_Opordered__ab__group__add' [151, 1] (w:1, o:104
% 6.99/7.43 , a:1, s:1, b:0),
% 6.99/7.43 'c_Hoare__Mirabelle_Ohoare__derivs' [153, 3] (w:1, o:166, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'tc_Hoare__Mirabelle_Otriple' [155, 1] (w:1, o:105, a:1, s:1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [158, 6] (w:1
% 6.99/7.43 , o:181, a:1, s:1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [159, 4] (w:1
% 6.99/7.43 , o:172, a:1, s:1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xconseq12__3' [162, 4] (w:1, o:175, a:1, s:
% 6.99/7.43 1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xconseq12__2' [163, 4] (w:1, o:174, a:1, s:
% 6.99/7.43 1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [164, 6] (w:
% 6.99/7.43 1, o:182, a:1, s:1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [165, 4] (w:
% 6.99/7.43 1, o:177, a:1, s:1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [166, 4] (w:
% 6.99/7.43 1, o:176, a:1, s:1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [167, 4] (w:1
% 6.99/7.43 , o:171, a:1, s:1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xconseq2__1' [168, 2] (w:1, o:151, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xconseq2__2' [169, 2] (w:1, o:152, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xconseq12__1' [170, 4] (w:1, o:173, a:1, s:
% 6.99/7.43 1, b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xconseq1__1' [171, 2] (w:1, o:149, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xconseq1__2' [172, 2] (w:1, o:150, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xescape__1' [173, 4] (w:1, o:178, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'v_sko__Hoare__Mirabelle__Xescape__2' [174, 4] (w:1, o:179, a:1, s:1
% 6.99/7.43 , b:0),
% 6.99/7.43 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [175, 2] (w:1, o:143, a:1
% 6.99/7.43 , s:1, b:0),
% 6.99/7.43 'c_Set_Ocontents' [176, 2] (w:1, o:135, a:1, s:1, b:0),
% 6.99/7.43 'v_G' [177, 0] (w:1, o:74, a:1, s:1, b:0),
% 6.99/7.43 'v_t' [178, 0] (w:1, o:75, a:1, s:1, b:0),
% 6.99/7.43 'v_ts' [179, 0] (w:1, o:76, a:1, s:1, b:0).
% 6.99/7.43
% 6.99/7.43
% 6.99/7.43 Starting Search:
% 6.99/7.43
% 6.99/7.43 Resimplifying inuse:
% 6.99/7.43 Done
% 6.99/7.43
% 6.99/7.43
% 6.99/7.43 Intermediate Status:
% 6.99/7.43 Generated: 4836
% 6.99/7.43 Kept: 2044
% 6.99/7.43 Inuse: 160
% 6.99/7.43 Deleted: 6
% 6.99/7.43 Deletedinuse: 0
% 6.99/7.43
% 6.99/7.43 Resimplifying inuse:
% 6.99/7.43 Done
% 6.99/7.43
% 6.99/7.43 Resimplifying inuse:
% 6.99/7.43 Done
% 6.99/7.43
% 6.99/7.43
% 6.99/7.43 Intermediate Status:
% 6.99/7.43 Generated: 9199
% 6.99/7.43 Kept: 4073
% 6.99/7.43 Inuse: 221
% 6.99/7.43 Deleted: 15
% 6.99/7.43 Deletedinuse: 5
% 6.99/7.43
% 6.99/7.43 Resimplifying inuse:
% 6.99/7.43 Done
% 6.99/7.43
% 6.99/7.43 Resimplifying inuse:
% 6.99/7.43 Done
% 6.99/7.43
% 6.99/7.43
% 6.99/7.43 Intermediate Status:
% 31.11/31.48 Generated: 18356
% 31.11/31.48 Kept: 6275
% 31.11/31.48 Inuse: 290
% 31.11/31.48 Deleted: 17
% 31.11/31.48 Deletedinuse: 7
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 30097
% 31.11/31.48 Kept: 8615
% 31.11/31.48 Inuse: 338
% 31.11/31.48 Deleted: 25
% 31.11/31.48 Deletedinuse: 10
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 37777
% 31.11/31.48 Kept: 10620
% 31.11/31.48 Inuse: 381
% 31.11/31.48 Deleted: 31
% 31.11/31.48 Deletedinuse: 10
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 47217
% 31.11/31.48 Kept: 12629
% 31.11/31.48 Inuse: 445
% 31.11/31.48 Deleted: 52
% 31.11/31.48 Deletedinuse: 16
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 58347
% 31.11/31.48 Kept: 14672
% 31.11/31.48 Inuse: 475
% 31.11/31.48 Deleted: 55
% 31.11/31.48 Deletedinuse: 17
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 66123
% 31.11/31.48 Kept: 16723
% 31.11/31.48 Inuse: 503
% 31.11/31.48 Deleted: 57
% 31.11/31.48 Deletedinuse: 19
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 74279
% 31.11/31.48 Kept: 19458
% 31.11/31.48 Inuse: 523
% 31.11/31.48 Deleted: 86
% 31.11/31.48 Deletedinuse: 20
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying clauses:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 83728
% 31.11/31.48 Kept: 21469
% 31.11/31.48 Inuse: 560
% 31.11/31.48 Deleted: 390
% 31.11/31.48 Deletedinuse: 21
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 99651
% 31.11/31.48 Kept: 23862
% 31.11/31.48 Inuse: 610
% 31.11/31.48 Deleted: 391
% 31.11/31.48 Deletedinuse: 22
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 116150
% 31.11/31.48 Kept: 25924
% 31.11/31.48 Inuse: 660
% 31.11/31.48 Deleted: 391
% 31.11/31.48 Deletedinuse: 22
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 126636
% 31.11/31.48 Kept: 27927
% 31.11/31.48 Inuse: 680
% 31.11/31.48 Deleted: 391
% 31.11/31.48 Deletedinuse: 22
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 134448
% 31.11/31.48 Kept: 30185
% 31.11/31.48 Inuse: 705
% 31.11/31.48 Deleted: 414
% 31.11/31.48 Deletedinuse: 25
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 155057
% 31.11/31.48 Kept: 32670
% 31.11/31.48 Inuse: 710
% 31.11/31.48 Deleted: 425
% 31.11/31.48 Deletedinuse: 26
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 171365
% 31.11/31.48 Kept: 34800
% 31.11/31.48 Inuse: 774
% 31.11/31.48 Deleted: 428
% 31.11/31.48 Deletedinuse: 28
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 184567
% 31.11/31.48 Kept: 36924
% 31.11/31.48 Inuse: 819
% 31.11/31.48 Deleted: 429
% 31.11/31.48 Deletedinuse: 29
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 193485
% 31.11/31.48 Kept: 39162
% 31.11/31.48 Inuse: 823
% 31.11/31.48 Deleted: 442
% 31.11/31.48 Deletedinuse: 31
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 217408
% 31.11/31.48 Kept: 41635
% 31.11/31.48 Inuse: 829
% 31.11/31.48 Deleted: 446
% 31.11/31.48 Deletedinuse: 31
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying clauses:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 228828
% 31.11/31.48 Kept: 43932
% 31.11/31.48 Inuse: 839
% 31.11/31.48 Deleted: 1036
% 31.11/31.48 Deletedinuse: 32
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 237982
% 31.11/31.48 Kept: 46071
% 31.11/31.48 Inuse: 864
% 31.11/31.48 Deleted: 1053
% 31.11/31.48 Deletedinuse: 34
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 251558
% 31.11/31.48 Kept: 48176
% 31.11/31.48 Inuse: 894
% 31.11/31.48 Deleted: 1053
% 31.11/31.48 Deletedinuse: 34
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 263798
% 31.11/31.48 Kept: 50924
% 31.11/31.48 Inuse: 906
% 31.11/31.48 Deleted: 1072
% 31.11/31.48 Deletedinuse: 40
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 274990
% 31.11/31.48 Kept: 53655
% 31.11/31.48 Inuse: 919
% 31.11/31.48 Deleted: 1074
% 31.11/31.48 Deletedinuse: 40
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 285587
% 31.11/31.48 Kept: 55669
% 31.11/31.48 Inuse: 928
% 31.11/31.48 Deleted: 1074
% 31.11/31.48 Deletedinuse: 40
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 296631
% 31.11/31.48 Kept: 57681
% 31.11/31.48 Inuse: 947
% 31.11/31.48 Deleted: 1074
% 31.11/31.48 Deletedinuse: 40
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48
% 31.11/31.48 Intermediate Status:
% 31.11/31.48 Generated: 317301
% 31.11/31.48 Kept: 60728
% 31.11/31.48 Inuse: 979
% 31.11/31.48 Deleted: 1074
% 31.11/31.48 Deletedinuse: 40
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 31.11/31.48 Done
% 31.11/31.48
% 31.11/31.48 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying clauses:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 330581
% 204.69/205.10 Kept: 62734
% 204.69/205.10 Inuse: 997
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 363070
% 204.69/205.10 Kept: 65876
% 204.69/205.10 Inuse: 1007
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 374160
% 204.69/205.10 Kept: 68081
% 204.69/205.10 Inuse: 1039
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 386047
% 204.69/205.10 Kept: 70354
% 204.69/205.10 Inuse: 1069
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 399130
% 204.69/205.10 Kept: 72716
% 204.69/205.10 Inuse: 1104
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 425935
% 204.69/205.10 Kept: 76024
% 204.69/205.10 Inuse: 1139
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 438577
% 204.69/205.10 Kept: 78035
% 204.69/205.10 Inuse: 1174
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 458179
% 204.69/205.10 Kept: 80400
% 204.69/205.10 Inuse: 1194
% 204.69/205.10 Deleted: 1740
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying clauses:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 472633
% 204.69/205.10 Kept: 82606
% 204.69/205.10 Inuse: 1214
% 204.69/205.10 Deleted: 2031
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 492971
% 204.69/205.10 Kept: 85223
% 204.69/205.10 Inuse: 1234
% 204.69/205.10 Deleted: 2031
% 204.69/205.10 Deletedinuse: 40
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 508290
% 204.69/205.10 Kept: 87482
% 204.69/205.10 Inuse: 1262
% 204.69/205.10 Deleted: 2034
% 204.69/205.10 Deletedinuse: 41
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 524327
% 204.69/205.10 Kept: 90524
% 204.69/205.10 Inuse: 1287
% 204.69/205.10 Deleted: 2041
% 204.69/205.10 Deletedinuse: 43
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 535953
% 204.69/205.10 Kept: 92665
% 204.69/205.10 Inuse: 1297
% 204.69/205.10 Deleted: 2042
% 204.69/205.10 Deletedinuse: 44
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 545583
% 204.69/205.10 Kept: 94961
% 204.69/205.10 Inuse: 1312
% 204.69/205.10 Deleted: 2043
% 204.69/205.10 Deletedinuse: 45
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 563891
% 204.69/205.10 Kept: 99236
% 204.69/205.10 Inuse: 1322
% 204.69/205.10 Deleted: 2043
% 204.69/205.10 Deletedinuse: 45
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 576019
% 204.69/205.10 Kept: 101242
% 204.69/205.10 Inuse: 1352
% 204.69/205.10 Deleted: 2043
% 204.69/205.10 Deletedinuse: 45
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 599692
% 204.69/205.10 Kept: 103510
% 204.69/205.10 Inuse: 1367
% 204.69/205.10 Deleted: 2043
% 204.69/205.10 Deletedinuse: 45
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying clauses:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 641823
% 204.69/205.10 Kept: 105565
% 204.69/205.10 Inuse: 1394
% 204.69/205.10 Deleted: 2382
% 204.69/205.10 Deletedinuse: 47
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 680362
% 204.69/205.10 Kept: 109963
% 204.69/205.10 Inuse: 1426
% 204.69/205.10 Deleted: 2383
% 204.69/205.10 Deletedinuse: 48
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 695730
% 204.69/205.10 Kept: 112415
% 204.69/205.10 Inuse: 1427
% 204.69/205.10 Deleted: 2389
% 204.69/205.10 Deletedinuse: 54
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 725969
% 204.69/205.10 Kept: 114473
% 204.69/205.10 Inuse: 1480
% 204.69/205.10 Deleted: 2667
% 204.69/205.10 Deletedinuse: 332
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 825734
% 204.69/205.10 Kept: 116482
% 204.69/205.10 Inuse: 1574
% 204.69/205.10 Deleted: 2715
% 204.69/205.10 Deletedinuse: 380
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 869021
% 204.69/205.10 Kept: 118540
% 204.69/205.10 Inuse: 1632
% 204.69/205.10 Deleted: 2715
% 204.69/205.10 Deletedinuse: 380
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10 Resimplifying inuse:
% 204.69/205.10 Done
% 204.69/205.10
% 204.69/205.10
% 204.69/205.10 Intermediate Status:
% 204.69/205.10 Generated: 920475
% 204.69/205.10 Kept: 121137
% 204.69/205.10 Inuse: 1681
% 204.69/205.10 Deleted: 2728
% 204.69/205.10 Deletedinuse: 381
% 204.69/205.10
% 204.69/205.10 Resimplifying Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------