TSTP Solution File: SWV833-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV833-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:28:44 EDT 2022
% Result : Timeout 300.01s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV833-1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Wed Jun 15 09:28:24 EDT 2022
% 0.14/0.37 % CPUTime :
% 1.00/1.42 *** allocated 10000 integers for termspace/termends
% 1.00/1.42 *** allocated 10000 integers for clauses
% 1.00/1.42 *** allocated 10000 integers for justifications
% 1.00/1.42 *** allocated 15000 integers for termspace/termends
% 1.00/1.42 *** allocated 22500 integers for termspace/termends
% 1.00/1.42 Bliksem 1.12
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 Automatic Strategy Selection
% 1.00/1.42
% 1.00/1.42 Clauses:
% 1.00/1.42 [
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 1.00/1.42 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 1.00/1.42 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.00/1.42 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 1.00/1.42 ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ),
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.00/1.42 'c_Fun_Oinj__on'( Y, U, Z, X ) ), ~( 'c_Fun_Oinj__on'( Y, T, Z, X ) ),
% 1.00/1.42 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , T ), U ), Z, X ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), 'c_Set_Oimage'( Y, hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X
% 1.00/1.42 ) ), 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), U ), T ), Z, X ) ),
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.42 'c_Fun_Oinj__on'( Y, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , T ), U ), Z, X ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.42 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 1.00/1.42 , 'tc_bool' ) ), Y ), Z ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.42 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.00/1.42 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.00/1.42 ), hBOOL( 'c_in'( hAPP( X, Z ), 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ) ) ), Y, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, T, Y, U ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~(
% 1.00/1.42 'c_Lattices_Oboolean__algebra'( T, X, U, W, V0, V1, V2, V3, V4 ) ), =( Y
% 1.00/1.42 , Z ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , T ), 'c_Collect'( X, Z ) ), Z ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ) ) ) ],
% 1.00/1.42 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 1.00/1.42 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 1.00/1.42 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.00/1.42 [ ~( =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Y ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), X ), ~( 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP(
% 1.00/1.42 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), Y ), X ), X ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 1.00/1.42 , 'tc_bool', X ), 'c_Not' ), Y ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.00/1.42 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 1.00/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.42 'c_Set_Oimage'( X, U, W, T ) ), Z ) ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Set_Oimage'( Z, T, U, Y ) ) ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.00/1.42 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.42 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) )
% 1.00/1.42 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z )
% 1.00/1.42 , W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP(
% 1.00/1.42 hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ) ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 1.00/1.42 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( X ), Z ), T ) ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X
% 1.00/1.42 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.42 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X
% 1.00/1.42 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.42 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.42 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ), ~(
% 1.00/1.42 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), X, T ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.42 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.00/1.42 ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 1.00/1.42 'tc_bool' ) ), T, X ) ) ],
% 1.00/1.42 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 1.00/1.42 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 1.00/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.00/1.42 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 1.00/1.42 ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.00/1.42 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y,
% 1.00/1.42 Z ), T ), U ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , Z, Y ), Y ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( U,
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, X ), X ) )
% 1.00/1.42 ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.42 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 1.00/1.42 hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.00/1.42 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 1.00/1.42 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.42 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.00/1.42 , V2, Z, Y ) ) ],
% 1.00/1.42 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.42 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.00/1.42 , Z, V2, Y ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_Finite__Set_Ofold1'(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T, X ) ) ) ), =( T,
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.00/1.42 , X ) ) ],
% 1.00/1.42 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 1.00/1.42 Y, U ) ) ],
% 1.00/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.42 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 X ), Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ =( 'c_Collect'( X, Y ), X ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 1.00/1.42 , T ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 1.00/1.42 , Z ) ],
% 1.00/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.42 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.42 X ), Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 X ), Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 1.00/1.42 ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.42 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.42 ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.42 ) ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.00/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 1.00/1.42 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 1.00/1.42 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.42 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 1.00/1.42 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 1.00/1.42 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.00/1.42 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 1.00/1.42 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.42 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.42 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), T ), Z ) )
% 1.00/1.42 ) ],
% 1.00/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.00/1.42 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.00/1.42 hBOOL( 'c_in'( U, T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.00/1.42 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( Z, U ) ) ), ~(
% 1.00/1.42 hBOOL( 'c_in'( U, T, Y ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.00/1.42 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.00/1.42 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 1.00/1.42 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) )
% 1.00/1.42 ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 1.00/1.42 , Z ) ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, Y, W, 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ) ), T ) ) ) ],
% 1.00/1.42 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 1.00/1.42 ), X ) ],
% 1.00/1.42 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.00/1.42 X ), Y ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.42 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.42 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 1.00/1.42 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ), Y, U ) ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.00/1.42 , =( Z, W ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.00/1.42 , =( Y, U ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 1.00/1.42 , =( X, T ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.42 'c_Set_Oimage'( Y, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , T ), U ), Z, X ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , 'c_Set_Oimage'( Y, T, Z, X ) ), 'c_Set_Oimage'( Y, U, Z, X ) ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.00/1.42 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.00/1.42 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 1.00/1.42 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 1.00/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 1.00/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 1.00/1.42 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 1.00/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 1.00/1.42 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), T ) ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ), Y ) ) ],
% 1.00/1.42 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.00/1.42 ) ],
% 1.00/1.42 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.00/1.42 ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.42 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.42 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.00/1.42 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.00/1.42 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.00/1.42 =( Y, U ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ) ],
% 1.00/1.42 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 1.00/1.42 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.42 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.00/1.42 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 1.00/1.42 Y, Z ) ],
% 1.00/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( Y ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T
% 1.00/1.42 ) ), hBOOL( 'c_in'( U, T, Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 1.00/1.42 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ =( 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.00/1.42 'c_Set_Oimage'( T, 'c_Set_Oimage'( U, 'c_Orderings_Otop__class_Otop'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), Z, X ), X, Y ) ) ],
% 1.00/1.42 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 1.00/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.42 'c_Set_Oimage'( X, Y, Z, Z ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z
% 1.00/1.42 ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 1.00/1.42 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 1.00/1.42 ],
% 1.00/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.00/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 1.00/1.42 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.42 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ),
% 1.00/1.42 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T
% 1.00/1.42 , 'tc_bool' ) ), Z ), U ), T, X ) ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.00/1.42 [ =( 'c_List_Omap'( X, 'c_List_Omap'( Y, Z, T, U ), U, W ),
% 1.00/1.42 'c_List_Omap'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), T ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , T ), Y ), Z ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , Y ), T ), Z ) ) ) ],
% 1.00/1.42 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.00/1.42 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 1.00/1.42 U, W ) ) ],
% 1.00/1.42 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.00/1.42 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.00/1.42 =( Y, Z ) ],
% 1.00/1.42 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 1.00/1.42 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 1.00/1.42 =( Y, Z ) ],
% 1.00/1.42 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 1.00/1.42 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 1.00/1.42 , U ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 1.00/1.42 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.42 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.42 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.00/1.42 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.00/1.42 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.00/1.42 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.42 Z ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.42 Y ), Z ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 1.00/1.42 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 1.00/1.42 ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 1.00/1.42 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.00/1.42 ), Y ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ) ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.00/1.42 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 1.00/1.42 ) ],
% 1.00/1.42 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 1.00/1.42 ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.00/1.42 Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL(
% 1.00/1.42 'c_in'( X, Z, Y ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.00/1.42 Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL(
% 1.00/1.42 'c_in'( X, Z, Y ) ) ) ],
% 1.00/1.42 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 1.00/1.42 X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_Fun_Oinj__on'( X
% 1.00/1.42 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, U ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( Z ), X ), T ) )
% 1.00/1.42 , Y ) ) ) ],
% 1.00/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.00/1.42 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 1.00/1.42 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 1.00/1.42 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.42 'tc_bool' ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y
% 1.00/1.42 , T, U, X ) ), 'c_Set_Oimage'( Y, T, U, X ) ), ~( hBOOL( 'c_in'( Z, T, U
% 1.00/1.42 ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 1.00/1.42 Z, Y, X ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.42 ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z
% 1.00/1.42 ) ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.42 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 1.00/1.42 Z, Y, X ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.42 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ) ) ), hBOOL( 'c_in'( T, Y
% 1.00/1.42 , X ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), T ) ), hBOOL( 'c_in'( Z, Y, X ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Z ), T ) ), hBOOL( 'c_in'( Y, T, X ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X,
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.00/1.42 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 1.00/1.42 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X,
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.00/1.42 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 1.00/1.42 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ) ],
% 1.00/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 1.00/1.42 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.42 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 1.00/1.42 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 1.00/1.42 Z, 'v_x' ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.42 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.00/1.42 , 'tc_bool' ) ), T ), Z ) ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.42 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.42 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.00/1.42 , 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.42 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.00/1.42 ), T ) ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.42 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.00/1.42 ), Z ) ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.00/1.42 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.42 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 1.00/1.42 ), T ) ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.42 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 1.00/1.42 ), Z ) ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.42 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 1.00/1.42 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.42 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 1.00/1.42 X ) ), Z ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 1.00/1.42 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 1.00/1.42 , V3, V4, U ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 1.00/1.42 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 1.00/1.42 , V3, V4, U ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 1.00/1.42 ],
% 1.00/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Y, X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), T ), U ) ),
% 1.00/1.42 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), U ), T ) ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 1.00/1.42 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 1.00/1.42 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 1.00/1.42 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.00/1.42 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.00/1.42 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 1.00/1.42 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 1.00/1.42 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 1.00/1.42 , 'tc_bool' ) ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.00/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.42 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.00/1.42 ) ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.00/1.42 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.42 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.00/1.42 ) ) ) ],
% 1.00/1.42 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.00/1.42 Y, X ) ],
% 1.00/1.42 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.42 , Y ), 'c_Collect'( T, Z ) ), Z ) ) ) ],
% 1.00/1.42 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.42 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( Z ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.42 'tc_bool' ) ) ) ), Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( Z ), Y ), T ), Z, U ) ) ],
% 1.00/1.42 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), T ) ) ) ],
% 1.00/1.42 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.00/1.42 hAPP( 'c_COMBB'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), U ), W ), T, 'tc_fun'(
% 1.00/1.42 Z, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.42 'c_Set_Oimage'( W, X, T, Y ), U, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.42 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.42 ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y,
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.42 'c_Finite__Set_Ofinite'( Y, X ) ), =( 'c_Finite__Set_Ofold1'(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.00/1.42 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X ) ),
% 1.00/1.42 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 1.00/1.42 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 1.00/1.42 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ),
% 1.00/1.42 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 1.00/1.42 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.00/1.42 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 1.00/1.42 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.42 [ =( 'c_List_Ofilter'( X, 'c_List_Omap'( Y, Z, T, U ), U ),
% 1.00/1.42 'c_List_Omap'( Y, 'c_List_Ofilter'( 'c_Fun_Ocomp'( X, Y, U, 'tc_bool', T
% 1.00/1.42 ), Z, T ), T, U ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.42 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.00/1.42 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.42 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.42 =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z
% 1.00/1.42 , 'tc_bool' ) ), T ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.42 'tc_bool' ) ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.42 ) ) ), Y ), Y ) ],
% 1.00/1.42 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.42 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ) ), Y ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.00/1.42 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 1.00/1.42 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 1.00/1.42 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 1.00/1.42 ,
% 1.00/1.42 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.42 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.00/1.42 , 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , T ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.00/1.42 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.42 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ],
% 1.00/1.42 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.42 , Y ), Z ), T, X ) ), ~( hBOOL( 'c_List_Olistsp'( Z, T, X ) ) ), ~( hBOOL(
% 1.00/1.42 'c_List_Olistsp'( Y, T, X ) ) ) ],
% 1.00/1.42 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.42 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.42 ), Y ), Z ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 1.00/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.00/1.42 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.42 'c_Set_Oinsert'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Ofold1'(
% 1.00/1.42 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ), hBOOL( 'c_in'( Y, Z, X ) )
% 1.00/1.42 , ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.42 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.42 ), Y ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.42 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.42 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.00/1.42 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.00/1.42 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.00/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.00/1.42 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.00/1.42 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 1.00/1.42 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.42 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.42 X ), Y ), Z ) ) ) ],
% 1.00/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 X ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.00/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 1.00/1.43 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ) ), Y ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 1.00/1.43 ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 1.00/1.43 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 1.00/1.43 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.43 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.00/1.43 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 1.00/1.43 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 1.00/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U,
% 1.00/1.43 'tc_bool' ) ), hAPP( T, Y ) ),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.00/1.43 U, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), 'c_Finite__Set_Ofold1'(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, X ) ), Z ) ), ~(
% 1.00/1.43 hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 1.00/1.43 X ), Y ) ), Z ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.00/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.00/1.43 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), T ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.43 Z ) ), Y ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.43 Z ) ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), Z ) ), Y ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), Z ) ), Z ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.43 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.00/1.43 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X ) ),
% 1.00/1.43 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ),
% 1.00/1.43 =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.43 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.00/1.43 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 1.00/1.43 , 'v_x' ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 'c_in'( Y, T, X ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.43 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.00/1.43 , hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Z ) ), X ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T
% 1.00/1.43 ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.43 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 1.00/1.43 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.43 , T ), X ), Y ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.43 , X ), T ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Finite__Set_Osetsum'( Y, X ), Z ), 'c_Set_Oimage'( T, U, W, Y ) ),
% 1.00/1.43 hAPP( hAPP( 'c_Finite__Set_Osetsum'( W, X ), 'c_Fun_Ocomp'( Z, T, Y, X, W
% 1.00/1.43 ) ), U ) ), ~( 'c_Fun_Oinj__on'( T, U, W, Y ) ) ],
% 1.00/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, Y, Z, Z ) ) ) ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.00/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.43 , U ), Y ), Z, T ) ) ],
% 1.00/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.43 , Y ), U ), Z, T ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.43 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.00/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 1.00/1.43 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.43 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.00/1.43 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.43 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.43 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.43 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 1.00/1.43 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.00/1.43 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.00/1.43 'c_Set_Oimage'( hAPP( hAPP( 'c_COMBB'( U, W, T ), X ), Y ), Z, T, W ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.00/1.43 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.00/1.43 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.43 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 1.00/1.43 , V2, Z, Y ) ) ],
% 1.00/1.43 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 1.00/1.43 , Z, V2, Y ) ) ],
% 1.00/1.43 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 1.00/1.43 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.43 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.43 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.00/1.43 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 1.00/1.43 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ), Y ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.43 ) ) ), Y ), Y ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 1.00/1.43 ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), X ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.43 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 1.00/1.43 ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.43 'tc_bool' ) ) ) ],
% 1.00/1.43 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ), Y, Z ) ],
% 1.00/1.43 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.00/1.43 ) ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Finite__Set_Osetsum'( Y, X ), hAPP( hAPP( 'c_COMBS'( Y, X, X ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 X ) ), Z ) ), T ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.00/1.43 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.00/1.43 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 1.00/1.43 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ), Z ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ) ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( Y ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.43 'tc_bool' ) ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.43 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ), Z ), hBOOL( 'c_in'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.43 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.00/1.43 , Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 1.00/1.43 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y ) ),
% 1.00/1.43 ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ), Y, U
% 1.00/1.43 ), hAPP( hAPP( 'c_Set_Oinsert'( U ), hAPP( X, Z ) ), 'c_Set_Oimage'( X,
% 1.00/1.43 T, Y, U ) ) ) ],
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 1.00/1.43 , W, V0, V1, U, V2, V3, V4, Y ) ) ],
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 U, Z ), hAPP( X, T ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 1.00/1.43 , X, V0, V1, V2, U, V3, V4, Y ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( Z ), T ), Y ), Z ) ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), X
% 1.00/1.43 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( Y ), Z ), X ), Y ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), Y ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Y ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.00/1.43 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ), T ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), Y ) ), Z ) ) ) ],
% 1.00/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( Z ), U ), Y ), Z, T ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ), Z ), Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), T ) ) ), hBOOL( 'c_in'( Y, T, X ) ), hBOOL(
% 1.00/1.43 'c_in'( Y, Z, X ) ), =( Z, T ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Z ), ~( hBOOL( 'c_in'(
% 1.00/1.43 Y, Z, X ) ) ) ],
% 1.00/1.43 [ =( 'c_Set_Ocontents'( X, Y ), 'c_The'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.00/1.43 Y, 'tc_bool' ), 'tc_bool', Y ), hAPP( 'c_fequal'( 'tc_fun'( Y, 'tc_bool'
% 1.00/1.43 ) ), X ) ), hAPP( 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( Y, 'tc_bool' ) ) ) ), Y ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X,
% 1.00/1.43 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.00/1.43 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ) ), Z ), X ), X ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( 'c_Collect'( Z, X ), X ) ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( Y, 'tc_bool'
% 1.00/1.43 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.00/1.43 'tc_bool' ), Y ), 'c_or' ), Z ) ), X ), Y ), Y ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( Y, 'tc_bool'
% 1.00/1.43 , 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.00/1.43 'tc_bool' ), Y ), 'c_or' ), X ) ), Z ), Y ), Y ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or'
% 1.00/1.43 ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , 'c_Collect'( Y, X ) ), 'c_Collect'( Z, X ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.00/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 1.00/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.00/1.43 ) ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.00/1.43 ) ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 1.00/1.43 ) ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 1.00/1.43 ) ), Z ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.43 'c_Finite__Set_Ofold1'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Ofold1'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.43 Z, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 1.00/1.43 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.00/1.43 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( X, Y ), hAPP( Z, Y ) ), T ), ~(
% 1.00/1.43 'c_Lattices_Oboolean__algebra'( U, Z, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.00/1.43 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, V1, X, V2, T, V3 ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), ~(
% 1.00/1.43 'c_Lattices_Oboolean__algebra'( U, Y, W, V0, X, V1, T, V2, V3 ) ) ],
% 1.00/1.43 [ =( hAPP( X, hAPP( X, Y ) ), Y ), ~( 'c_Lattices_Oboolean__algebra'( Z
% 1.00/1.43 , X, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.00/1.43 [ ~( 'c_Lattices_Oboolean__algebra'( X, Y, Z, T, U, W, hAPP( hAPP( U, V0
% 1.00/1.43 ), V1 ), hAPP( hAPP( W, V0 ), V1 ), V2 ) ), =( hAPP( Y, V0 ), V1 ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.00/1.43 V0, V1, Z, Y, V2 ) ) ],
% 1.00/1.43 [ =( hAPP( X, Y ), Z ), ~( 'c_Lattices_Oboolean__algebra'( T, X, U, W,
% 1.00/1.43 V0, V1, Y, Z, V2 ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.00/1.43 'c_Lattices_Oboolean__algebra'( X, U, W, V0, T, V1, V2, V3, V4 ) ) ],
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.00/1.43 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, Y, U,
% 1.00/1.43 V2, V3, V4 ) ) ],
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( U, hAPP( X, Z ) ),
% 1.00/1.43 hAPP( X, T ) ) ), ~( 'c_Lattices_Oboolean__algebra'( W, X, V0, V1, U, Y,
% 1.00/1.43 V2, V3, V4 ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 1.00/1.43 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.43 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.00/1.43 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), T ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 1.00/1.43 ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) )
% 1.00/1.43 ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 1.00/1.43 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 1.00/1.43 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.43 ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 X ), Y ), Y ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Y ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.00/1.43 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 1.00/1.43 Z ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 1.00/1.43 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 1.00/1.43 Y ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.43 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( hAPP(
% 1.00/1.43 'c_COMBB'( T, 'tc_fun'( W, 'tc_bool' ), Z ), U ), X ), Z, 'tc_fun'( W,
% 1.00/1.43 'tc_bool' ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.43 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.00/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X
% 1.00/1.43 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Z ), T ) ) ) ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 1.00/1.43 X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) ) ), ~( hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), W ) ) ), ~(
% 1.00/1.43 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.00/1.43 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 1.00/1.43 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 , Z ), 'c_Collect'( T, Y ) ), Y ) ), ~( hBOOL( hAPP( T, X ) ) ), ~( hBOOL(
% 1.00/1.43 'c_in'( X, Z, Y ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 1.00/1.43 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.00/1.43 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.00/1.43 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.00/1.43 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.00/1.43 , V4 ), W ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 1.00/1.43 ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice'(
% 1.00/1.43 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.00/1.43 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_COMBC'( 'c_lessequals'( X
% 1.00/1.43 ), X, X, 'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X,
% 1.00/1.43 'tc_bool' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 1.00/1.43 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 1.00/1.43 , X ) ],
% 1.00/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.43 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 1.00/1.43 'tc_fun'( U, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 1.00/1.43 U, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 1.00/1.43 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.43 Z, Y ) ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.43 Z, Y ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 1.00/1.43 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.43 ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 1.00/1.43 , 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.00/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.00/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 1.00/1.43 ), U ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.00/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.00/1.43 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 1.00/1.43 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.00/1.43 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 1.00/1.43 , 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 1.00/1.43 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 1.00/1.43 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.43 , Z ), T ), Y, U ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.43 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 1.00/1.43 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 1.00/1.43 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( 'c_in'( Y
% 1.00/1.43 , Z, X ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 1.00/1.43 Z ), Y ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.00/1.43 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 1.00/1.43 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 1.00/1.43 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y,
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, U, 't_b' ), 't_b', 't_a' ) )
% 1.00/1.43 ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ],
% 1.00/1.43 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X,
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 1.00/1.43 hAPP( X, Y ), Z ), T ) ) ],
% 1.00/1.43 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X,
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, U ), U, W ), hAPP( hAPP(
% 1.00/1.43 hAPP( X, Y ), Z ), T ) ) ],
% 1.00/1.43 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 1.00/1.43 ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.43 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 1.00/1.43 ), Y ), X ) ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'(
% 1.00/1.43 X, hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 1.00/1.43 , 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 1.00/1.43 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 1.00/1.43 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 1.00/1.43 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 1.00/1.43 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Collect'( Z, X ) ),
% 1.00/1.43 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP( hAPP(
% 1.00/1.43 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_implies'
% 1.00/1.43 ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool', X ), 'c_Not' ), hAPP(
% 1.00/1.43 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ) ) ), Z ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 1.00/1.43 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 1.00/1.43 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 1.00/1.43 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 1.00/1.43 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 1.00/1.43 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 1.00/1.43 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 1.00/1.43 'c_List_Ofoldl'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0
% 1.00/1.43 ), 'tc_fun'( 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W,
% 1.00/1.43 V0, U ) ), X ), V0, 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), Z ), Y, T, V0
% 1.00/1.43 , U ) ) ],
% 1.00/1.43 [ 'c_Lattices_Oboolean__algebra'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.00/1.43 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), X ),
% 1.00/1.43 'c_COMBB'( X, X, X ) ), Y ), X, 'tc_fun'( X, X ), 'tc_fun'( X, X ) ), Z )
% 1.00/1.43 , Z, 'c_COMBC'( T, X, X, 'tc_bool' ), 'c_COMBC'( U, X, X, 'tc_bool' ), Y
% 1.00/1.43 , W, V0, V1, X ), ~( 'c_Lattices_Oboolean__algebra'( V2, Z, T, U, W, Y,
% 1.00/1.43 V1, V0, X ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.00/1.43 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OBODY'( T ), U, Y )
% 1.00/1.43 ), X ), hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y )
% 1.00/1.43 ), 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Option_Othe'(
% 1.00/1.43 'c_Com_Obody'( T ), 'tc_Com_Ocom' ), U, Y ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OCond'( T, U, W ),
% 1.00/1.43 V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.00/1.43 , 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y )
% 1.00/1.43 , W, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.00/1.43 , T, Y ), U, V0, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.00/1.43 [ 'c_Fun_Oinj__on'( hAPP( 'c_COMBC'( 'c_Set_Oinsert'( X ), X, 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X, 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ) ) ],
% 1.00/1.43 [ =( 'c_List_Olistsp'( hAPP( hAPP( 'c_COMBS'( 't_a', 'tc_bool',
% 1.00/1.43 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 1.00/1.43 'tc_bool' ), 't_a' ), 'c_and' ), X ) ), Y ), 'v_x', 't_a' ), hAPP( hAPP(
% 1.00/1.43 'c_and', 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y,
% 1.00/1.43 'v_x', 't_a' ) ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X,
% 1.00/1.43 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.00/1.43 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ), X ), X ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( 'c_Collect'( Z, X ), X ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X,
% 1.00/1.43 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.00/1.43 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ) ), Z ), X ), X ), ~(
% 1.00/1.43 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X ), X ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.00/1.43 'c_and' ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , 'c_Collect'( Y, X ) ), 'c_Collect'( Z, X ) ) ) ],
% 1.00/1.43 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ), 'tc_bool', Y ), 'c_Ex'( X ) ), hAPP( 'c_COMBC'( hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ),
% 1.00/1.43 'tc_fun'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.00/1.43 'c_COMBS'( X, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.00/1.43 X, 'tc_bool' ), 'tc_fun'( X, 'tc_fun'( 'tc_bool', 'tc_bool' ) ), Y ),
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.00/1.43 'c_and' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ), 'tc_fun'( 'tc_fun'( X, Y ), 'tc_fun'( X, 'tc_bool' ) ), Y )
% 1.00/1.43 , 'c_COMBB'( Y, 'tc_bool', X ) ), 'c_fequal'( Y ) ), Y, 'tc_fun'( X, Y )
% 1.00/1.43 , 'tc_fun'( X, 'tc_bool' ) ), Z ) ) ), Y, 'tc_fun'( X, 'tc_bool' ),
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ), T ) ), Y ), Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.00/1.43 'c_Collect'( T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.43 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ =( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ) ) ) ) ) ],
% 1.00/1.43 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Y )
% 1.00/1.43 ) ],
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ), ~(
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Y )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.43 'c_Complete__Lattice_OSup__class_OSup'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.00/1.43 , Y ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X
% 1.00/1.43 ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y
% 1.00/1.43 ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.43 'c_Finite__Set_Olinorder__class_OMin'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.00/1.43 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.00/1.43 ) ],
% 1.00/1.43 [ =( 'c_The'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U, V2, V3, V4, Y
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ =( hAPP( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( Y ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ) ) ) ), hAPP( hAPP( U, Z ), T ) ), ~(
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, U, V3, V4, Y
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ), T ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 1.00/1.43 ), Y ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), T ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 1.00/1.43 hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.00/1.43 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z, hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( T ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.43 'tc_bool' ) ) ), T ), Y ) ) ) ],
% 1.00/1.43 [ =( 'c_Set_Ocontents'( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.43 'tc_bool' ) ) ), Y ) ), ~( hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( Y )
% 1.00/1.43 , Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X )
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( 'c_Set_Oinsert'( Z ), Y )
% 1.00/1.43 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ =( 'c_Finite__Set_Ofold1'( X, hAPP( hAPP( 'c_Set_Oinsert'( Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ), Z ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.43 'c_Finite__Set_Olinorder__class_OMax'( hAPP( hAPP( 'c_Set_Oinsert'( X ),
% 1.00/1.43 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y
% 1.00/1.43 ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.00/1.43 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL(
% 1.00/1.43 'c_in'( Y, Z, X ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.43 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( X, 'tc_bool' ) ) ) ), Z ) ) ],
% 1.00/1.43 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 1.00/1.43 'c_Complete__Lattice_OInf__class_OInf'( X ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.00/1.43 , Y ) ],
% 1.00/1.43 [ =( 'c_Set_Oimage'( X, Y, Z, T ),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, hAPP( 'c_COMBC'(
% 1.00/1.43 hAPP( hAPP( 'c_COMBB'( T, 'tc_fun'( 'tc_fun'( T, 'tc_bool' ), 'tc_fun'( T
% 1.00/1.43 , 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( T ) ), X ), Z, 'tc_fun'( T,
% 1.00/1.43 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( T, 'tc_bool' ) ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.00/1.43 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ) ),
% 1.00/1.43 Z ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.00/1.43 hBOOL( hAPP( Z, Y ) ) ],
% 1.00/1.43 [ =( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_bool' ), 'v_P' ), hAPP(
% 1.00/1.43 'c_and', hAPP( 'c_Not', 'v_P' ) ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 1.00/1.43 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 1.00/1.43 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 1.00/1.43 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U, W ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 1.00/1.43 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 1.00/1.43 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.00/1.43 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 1.00/1.43 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 1.00/1.43 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 1.00/1.43 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( U,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), ~( hBOOL( hAPP( hAPP( T,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 't_a' ), 'tc_bool' ) ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 1.00/1.43 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.00/1.43 'c_and' ), hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ) ),
% 1.00/1.43 Z ), X ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.00/1.43 hAPP( Z, Y ) ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OWhile'( T, U ),
% 1.00/1.43 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 1.00/1.43 , 'tc_bool', 'tc_Com_Ostate' ), Y ), Y ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 Y ), 'tc_bool' ) ) ), Y ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.00/1.43 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_Hoare__Mirabelle_Opeek__and'( Z
% 1.00/1.43 , T, Y ), U, Z, Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.00/1.43 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.00/1.43 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_fun'( U, X ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X
% 1.00/1.43 ), Y ), 'c_Finite__Set_Osetsum'( U, X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.00/1.43 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X )
% 1.00/1.43 ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.00/1.43 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), Y, 'tc_fun'( U, X )
% 1.00/1.43 , 'tc_fun'( U, X ) ), W ) ), Y, 'tc_fun'( U, 'tc_bool' ), X ), V0 ) ), T
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.00/1.43 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.00/1.43 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), X ), Y ),
% 1.00/1.43 'c_Finite__Set_Osetsum'( Z, X ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ), X )
% 1.00/1.43 , U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP(
% 1.00/1.43 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y
% 1.00/1.43 , 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ), 'c_COMBC'( T
% 1.00/1.43 , Y, Z, X ) ), Z, 'tc_fun'( Y, 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.00/1.43 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, hAPP(
% 1.00/1.43 'c_COMBC'( 'c_Set_Oinsert'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y
% 1.00/1.43 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.00/1.43 ) ), Y, 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.00/1.43 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 1.00/1.43 'c_List_Ofilter'( hAPP( hAPP( 'c_COMBS'( T, 'tc_bool', 'tc_bool' ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ),
% 1.00/1.43 'c_and' ), Y ) ), X ), Z, T ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.00/1.43 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ), X ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.00/1.43 Z, Y ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSKIP', Z, Y ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 Y ), 'tc_bool' ) ) ), Y ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, 'c_Com_Ocom_OSemi'( T, U ), W, Y
% 1.00/1.43 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, U, W, Y ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 Y ), 'tc_bool' ) ) ), Y ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 1.00/1.43 hAPP( hAPP( 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( Y ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( Z, T, V0, Y ) ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 1.00/1.43 Y ), 'tc_bool' ) ) ), Y ) ) ],
% 1.00/1.43 [ =( 'c_Collect'( hAPP( hAPP( 'c_COMBS'( X, 'tc_bool', 'tc_bool' ), hAPP(
% 1.00/1.43 hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ),
% 1.00/1.43 'c_and' ), hAPP( 'c_fequal'( X ), Y ) ) ), Z ), X ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), T ), Y ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Y ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ) ), Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), Y ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 1.00/1.43 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 1.00/1.43 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 1.00/1.43 hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 1.00/1.43 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Z, U ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Z, U ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ) ), =( Z, T ), =( Y, T ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), T ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ) ), =( Y, U ), =( Y, T ) ],
% 1.00/1.43 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.43 ) ), Y ) ) ) ],
% 1.00/1.43 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.43 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 1.00/1.43 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( T ), Z ), X ), Y ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Y ), Z ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ) ) ],
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Z ), T ) ), hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Y ), T ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.00/1.43 hAPP( U, W ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.00/1.43 U ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.00/1.43 T, W ), hAPP( U, W ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), hAPP( hAPP( 'c_Set_Oinsert'(
% 1.00/1.43 X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 1.00/1.43 , hAPP( hAPP( 'c_Set_Oinsert'( X ), Z ), hAPP( hAPP( 'c_Set_Oinsert'( X )
% 1.00/1.43 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( =( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ),
% 1.00/1.43 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( X ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.43 'tc_bool' ) ) ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( hAPP( 'c_Set_Oinsert'( X ), Y ), Z ), T ) ), ~(
% 1.00/1.43 hBOOL( hAPP( Z, T ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.00/1.43 =( X, Z ) ],
% 1.00/1.43 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 1.00/1.43 =( Y, T ) ],
% 1.00/1.43 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', hAPP( hAPP(
% 1.00/1.43 'c_Set_Oinsert'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 1.00/1.43 'c_Hoare__Mirabelle_Otriple_Otriple'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.00/1.43 'c_COMBB'( 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'( 'tc_bool', 'tc_bool' ) )
% 1.00/1.43 , 'tc_fun'( 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'(
% 1.00/1.43 'tc_Com_Ostate', 'tc_bool' ) ), 't_a' ), 'c_COMBS'( 'tc_Com_Ostate',
% 1.00/1.43 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 1.00/1.43 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate', 'tc_fun'(
% 1.00/1.43 'tc_bool', 'tc_bool' ) ), 't_a' ), hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'(
% 1.00/1.43 'tc_bool', 'tc_bool' ), 'tc_Com_Ostate' ), 'c_and' ) ), 'v_P' ) ), 't_a'
% 1.00/1.43 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 'tc_fun'( 'tc_Com_Ostate',
% 1.00/1.43 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_bool',
% 1.00/1.43 'tc_Com_Ostate' ), 'c_Not' ), 'v_b' ) ), 'c_Com_Ocom_OWhile'( 'v_b',
% 1.00/1.43 'v_c' ), 'v_P', 't_a' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.43 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ) ), 't_a' ) ) ],
% 1.00/1.43 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.00/1.43 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.43 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.43 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.00/1.43 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.00/1.43 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.00/1.43 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.00/1.43 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Orderings_Opreorder'( Y ) ) ],
% 1.00/1.43 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.43 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.43 'class_Orderings_Oorder'( Y ) ) ],
% 1.00/1.43 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 1.00/1.43 Y ) ) ],
% 1.00/1.43 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.00/1.43 Y ) ) ],
% 1.00/1.43 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.00/1.43 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.00/1.43 [ =( hAPP( hAPP( hAPP( 'c_COMBS'( X, Y, Z ), T ), U ), W ), hAPP( hAPP(
% 1.00/1.43 T, W ), hAPP( U, W ) ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.00/1.43 U ) ) ],
% 1.00/1.43 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.00/1.43 hAPP( U, W ) ) ) ],
% 1.00/1.43 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.00/1.43 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.00/1.43 ] .
% 1.00/1.43
% 1.00/1.43
% 1.00/1.43 percentage equality = 0.317213, percentage horn = 0.904514
% 1.00/1.43 This is a problem with some equality
% 1.00/1.43
% 1.00/1.43
% 1.00/1.43
% 1.00/1.43 Options Used:
% 1.00/1.43
% 1.00/1.43 useres = 1
% 1.00/1.43 useparamod = 1
% 1.00/1.43 useeqrefl = 1
% 1.00/1.43 useeqfact = 1
% 1.00/1.43 usefactor = 1
% 1.00/1.43 usesimpsplitting = 0
% 1.00/1.43 usesimpdemod = 5
% 1.00/1.43 usesimpres = 3
% 1.00/1.43
% 1.00/1.43 resimpinuse = 1000
% 1.00/1.43 resimpclauses = 20000
% 1.00/1.43 substype = eqrewr
% 1.00/1.43 backwardsubs = 1
% 1.00/1.43 selectoldest = 5
% 1.00/1.43
% 1.00/1.43 litorderings [0] = split
% 1.00/1.43 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.43
% 1.00/1.43 termordering = kbo
% 1.00/1.43
% 1.00/1.43 litapriori = 0
% 1.00/1.43 termapriori = 1
% 1.00/1.43 litaposteriori = 0
% 1.00/1.43 termaposteriori = 0
% 1.00/1.43 demodaposteriori = 0
% 1.00/1.43 ordereqreflfact = 0
% 1.00/1.43
% 1.00/1.43 litselect = negord
% 1.00/1.43
% 1.00/1.43 maxweight = 15
% 1.00/1.43 maxdepth = 30000
% 1.00/1.43 maxlength = 115
% 1.00/1.43 maxnrvars = 195
% 1.00/1.43 excuselevel = 1
% 1.00/1.43 increasemaxweight = 1
% 1.00/1.43
% 1.00/1.43 maxselected = 10000000
% 1.00/1.43 maxnrclauses = 10000000
% 1.00/1.43
% 1.00/1.43 showgenerated = 0
% 1.00/1.43 showkept = 0
% 1.00/1.43 showselected = 0
% 1.00/1.43 showdeleted = 0
% 1.00/1.43 showresimp = 1
% 1.00/1.43 showstatus = 2000
% 1.00/1.43
% 1.00/1.43 prologoutput = 1
% 1.00/1.43 nrgoals = 5000000
% 1.00/1.43 totalproof = 1
% 1.00/1.43
% 1.00/1.43 Symbols occurring in the translation:
% 1.00/1.43
% 1.00/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.43 . [1, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.00/1.43 ! [4, 1] (w:0, o:109, a:1, s:1, b:0),
% 1.00/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.43 'c_in' [42, 3] (w:1, o:198, a:1, s:1, b:0),
% 1.00/1.43 hBOOL [43, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.00/1.43 hAPP [44, 2] (w:1, o:181, a:1, s:1, b:0),
% 1.00/1.43 'c_COMBI' [45, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.00/1.43 'c_COMBK' [48, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.00/1.43 'c_Com_Ocom_OSemi' [52, 2] (w:1, o:183, a:1, s:1, b:0),
% 1.00/1.43 'c_Com_Ocom_OBODY' [54, 1] (w:1, o:117, a:1, s:1, b:0),
% 1.00/1.43 'tc_bool' [55, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.00/1.43 'tc_fun' [56, 2] (w:1, o:184, a:1, s:1, b:0),
% 1.00/1.43 'c_Lattices_Olower__semilattice__class_Oinf' [57, 1] (w:1, o:118, a:1
% 1.00/1.43 , s:1, b:0),
% 1.00/1.43 'c_HOL_Ominus__class_Ominus' [59, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.00/1.43 'c_Set_Oimage' [62, 4] (w:1, o:210, a:1, s:1, b:0),
% 1.00/1.43 'c_Orderings_Obot__class_Obot' [63, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.00/1.43 'c_Fun_Oinj__on' [64, 4] (w:1, o:211, a:1, s:1, b:0),
% 1.00/1.43 'c_Lattices_Oupper__semilattice__class_Osup' [65, 1] (w:1, o:121, a:1
% 1.00/1.43 , s:1, b:0),
% 1.00/1.43 'class_Orderings_Olinorder' [66, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.00/1.43 'c_HOL_Oord__class_Oless' [67, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.00/1.43 'c_lessequals' [69, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [70, 4] (w:1
% 1.00/1.43 , o:212, a:1, s:1, b:0),
% 1.00/1.43 'c_Set_Oinsert' [71, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.00/1.43 'c_Lattices_Oboolean__algebra' [81, 9] (w:1, o:232, a:1, s:1, b:0),
% 1.00/1.43 'class_Orderings_Oorder' [82, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.00/1.43 'class_Orderings_Opreorder' [84, 1] (w:1, o:127, a:1, s:1, b:0),
% 1.00/1.43 'class_Lattices_Oupper__semilattice' [85, 1] (w:1, o:128, a:1, s:1
% 1.00/1.43 , b:0),
% 1.00/1.43 'class_Ring__and__Field_Ocomm__semiring__1' [86, 1] (w:1, o:129, a:1
% 1.00/1.43 , s:1, b:0),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes' [87, 1] (w:1, o:130, a:1, s:1, b:0),
% 1.00/1.43 'c_Collect' [89, 2] (w:1, o:182, a:1, s:1, b:0),
% 1.00/1.43 'class_Lattices_Odistrib__lattice' [90, 1] (w:1, o:131, a:1, s:1, b:0
% 1.00/1.43 ),
% 1.00/1.43 'c_Fun_Ocomp' [94, 5] (w:1, o:228, a:1, s:1, b:0),
% 1.00/1.43 'class_Lattices_Olattice' [95, 1] (w:1, o:132, a:1, s:1, b:0),
% 1.00/1.43 't_a' [96, 0] (w:1, o:69, a:1, s:1, b:0),
% 1.00/1.43 'v_x' [97, 0] (w:1, o:70, a:1, s:1, b:0),
% 1.00/1.43 'c_Orderings_Otop__class_Otop' [98, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.00/1.43 'c_Finite__Set_Ofinite' [99, 2] (w:1, o:185, a:1, s:1, b:0),
% 1.00/1.43 'c_COMBB' [100, 3] (w:1, o:200, a:1, s:1, b:0),
% 1.00/1.43 'c_Not' [101, 0] (w:1, o:71, a:1, s:1, b:0),
% 1.00/1.43 'c_Finite__Set_Ofold1' [103, 3] (w:1, o:201, a:1, s:1, b:0),
% 1.00/1.43 'c_Finite__Set_Ofold1Set' [104, 3] (w:1, o:202, a:1, s:1, b:0),
% 1.00/1.43 'c_The' [105, 2] (w:1, o:187, a:1, s:1, b:0),
% 1.00/1.43 'class_Complete__Lattice_Ocomplete__lattice' [106, 1] (w:1, o:134, a:
% 1.00/1.43 1, s:1, b:0),
% 1.00/1.43 'c_Complete__Lattice_Ocomplete__lattice' [112, 9] (w:1, o:233, a:1
% 1.00/1.43 , s:1, b:0),
% 1.00/1.43 'class_Lattices_Olower__semilattice' [113, 1] (w:1, o:135, a:1, s:1
% 1.00/1.43 , b:0),
% 1.00/1.43 'c_Complete__Lattice_OInf__class_OInf' [115, 1] (w:1, o:136, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'c_Complete__Lattice_OSup__class_OSup' [118, 1] (w:1, o:137, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'class_Lattices_Obounded__lattice' [119, 1] (w:1, o:138, a:1, s:1, b:
% 4.49/4.92 0),
% 4.49/4.92 'c_Com_Ocom_OCond' [121, 3] (w:1, o:203, a:1, s:1, b:0),
% 4.49/4.92 'class_OrderedGroup_Oab__group__add' [122, 1] (w:1, o:139, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'c_Finite__Set_Osetsum' [123, 2] (w:1, o:188, a:1, s:1, b:0),
% 4.49/4.92 'class_Ring__and__Field_Oring' [124, 1] (w:1, o:140, a:1, s:1, b:0),
% 4.49/4.92
% 4.49/4.92 'c_fequal' [126, 1] (w:1, o:141, a:1, s:1, b:0),
% 4.49/4.92 'c_COMBC' [127, 4] (w:1, o:213, a:1, s:1, b:0),
% 4.49/4.92 'c_SetInterval_Oord__class_OatLeastAtMost' [132, 3] (w:1, o:204, a:1
% 4.49/4.92 , s:1, b:0),
% 4.49/4.92 'c_List_Omap' [136, 4] (w:1, o:214, a:1, s:1, b:0),
% 4.49/4.92 'c_Finite__Set_Olinorder__class_OMax' [140, 2] (w:1, o:189, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'class_Ring__and__Field_Osemiring__0' [142, 1] (w:1, o:142, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'c_Com_Ocom_OSKIP' [144, 0] (w:1, o:88, a:1, s:1, b:0),
% 4.49/4.92 'class_HOL_Ominus' [145, 1] (w:1, o:143, a:1, s:1, b:0),
% 4.49/4.92 'class_Ring__and__Field_Oordered__ring__strict' [147, 1] (w:1, o:144
% 4.49/4.92 , a:1, s:1, b:0),
% 4.49/4.92 'class_Finite__Set_Ofinite_Ofinite' [148, 1] (w:1, o:145, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'class_OrderedGroup_Oab__semigroup__mult' [149, 1] (w:1, o:146, a:1
% 4.49/4.92 , s:1, b:0),
% 4.49/4.92 'c_List_Ofilter' [150, 3] (w:1, o:205, a:1, s:1, b:0),
% 4.49/4.92 'c_List_Olistsp' [157, 3] (w:1, o:206, a:1, s:1, b:0),
% 4.49/4.92 'class_Orderings_Otop' [158, 1] (w:1, o:147, a:1, s:1, b:0),
% 4.49/4.92 'class_Ring__and__Field_Oordered__idom' [159, 1] (w:1, o:148, a:1, s:
% 4.49/4.92 1, b:0),
% 4.49/4.92 'c_Finite__Set_Olinorder__class_OMin' [161, 2] (w:1, o:190, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'class_OrderedGroup_Oab__semigroup__idem__mult' [162, 1] (w:1, o:149
% 4.49/4.92 , a:1, s:1, b:0),
% 4.49/4.92 'class_OrderedGroup_Ocomm__monoid__add' [164, 1] (w:1, o:150, a:1, s:
% 4.49/4.92 1, b:0),
% 4.49/4.92 'class_HOL_Oord' [166, 1] (w:1, o:151, a:1, s:1, b:0),
% 4.49/4.92 'class_Orderings_Obot' [167, 1] (w:1, o:152, a:1, s:1, b:0),
% 4.49/4.92 'c_COMBS' [168, 3] (w:1, o:207, a:1, s:1, b:0),
% 4.49/4.92 'c_Set_Ocontents' [170, 2] (w:1, o:186, a:1, s:1, b:0),
% 4.49/4.92 'c_or' [171, 0] (w:1, o:92, a:1, s:1, b:0),
% 4.49/4.92 'c_Com_Ocom_OWhile' [173, 2] (w:1, o:191, a:1, s:1, b:0),
% 4.49/4.92 'class_OrderedGroup_Opordered__ab__group__add' [179, 1] (w:1, o:153
% 4.49/4.92 , a:1, s:1, b:0),
% 4.49/4.92 't_b' [183, 0] (w:1, o:94, a:1, s:1, b:0),
% 4.49/4.92 'c_Hoare__Mirabelle_Otriple_Otriple' [184, 4] (w:1, o:215, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'c_Hoare__Mirabelle_Otriple_Otriple__case' [185, 4] (w:1, o:216, a:1
% 4.49/4.92 , s:1, b:0),
% 4.49/4.92 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [188, 4] (w:1, o:217, a:1
% 4.49/4.92 , s:1, b:0),
% 4.49/4.92 'v_P' [189, 0] (w:1, o:95, a:1, s:1, b:0),
% 4.49/4.92 'c_Hoare__Mirabelle_Ohoare__derivs' [191, 3] (w:1, o:208, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'tc_Hoare__Mirabelle_Otriple' [192, 1] (w:1, o:154, a:1, s:1, b:0),
% 4.49/4.92 'tc_Com_Ostate' [194, 0] (w:1, o:96, a:1, s:1, b:0),
% 4.49/4.92 'v_sko__Hoare__Mirabelle__Xescape__2' [195, 4] (w:1, o:219, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'v_sko__Hoare__Mirabelle__Xescape__1' [196, 4] (w:1, o:218, a:1, s:1
% 4.49/4.92 , b:0),
% 4.49/4.92 'c_implies' [197, 0] (w:1, o:97, a:1, s:1, b:0),
% 4.49/4.92 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [198, 4] (w:1, o:220
% 4.49/4.92 , a:1, s:1, b:0),
% 4.49/4.92 'c_List_Ofoldl' [200, 5] (w:1, o:229, a:1, s:1, b:0),
% 4.49/4.92 'c_Com_Obody' [202, 1] (w:1, o:116, a:1, s:1, b:0),
% 4.49/4.92 'tc_Com_Ocom' [203, 0] (w:1, o:99, a:1, s:1, b:0),
% 4.49/4.92 'c_Option_Othe' [204, 2] (w:1, o:193, a:1, s:1, b:0),
% 4.49/4.92 'c_Hoare__Mirabelle_Opeek__and' [205, 3] (w:1, o:209, a:1, s:1, b:0)
% 4.49/4.92 ,
% 4.49/4.92 'c_and' [206, 0] (w:1, o:100, a:1, s:1, b:0),
% 4.49/4.92 'c_Ex' [207, 1] (w:1, o:155, a:1, s:1, b:0),
% 4.49/4.92 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [208, 2] (w:1, o:192, a:1
% 4.49/4.92 , s:1, b:0),
% 4.49/4.92 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [210, 6] (w:1
% 4.49/4.92 , o:230, a:1, s:1, b:0),
% 4.49/4.92 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [211, 4] (w:1
% 4.49/4.92 , o:222, a:1, s:1, b:0),
% 4.49/4.92 'v_sko__Hoare__Mirabelle__Xconseq12__3' [214, 4] (w:1, o:225, a:1, s:
% 4.49/4.92 1, b:0),
% 4.49/4.92 'v_sko__Hoare__Mirabelle__Xconseq12__2' [215, 4] (w:1, o:224, a:1, s:
% 18.49/18.91 1, b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [216, 6] (w:
% 18.49/18.91 1, o:231, a:1, s:1, b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [217, 4] (w:
% 18.49/18.91 1, o:227, a:1, s:1, b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [218, 4] (w:
% 18.49/18.91 1, o:226, a:1, s:1, b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [219, 4] (w:1
% 18.49/18.91 , o:221, a:1, s:1, b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xconseq2__1' [220, 2] (w:1, o:196, a:1, s:1
% 18.49/18.91 , b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xconseq2__2' [221, 2] (w:1, o:197, a:1, s:1
% 18.49/18.91 , b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xconseq12__1' [222, 4] (w:1, o:223, a:1, s:
% 18.49/18.91 1, b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xconseq1__1' [223, 2] (w:1, o:194, a:1, s:1
% 18.49/18.91 , b:0),
% 18.49/18.91 'v_sko__Hoare__Mirabelle__Xconseq1__2' [224, 2] (w:1, o:195, a:1, s:1
% 18.49/18.91 , b:0),
% 18.49/18.91 'v_G' [229, 0] (w:1, o:104, a:1, s:1, b:0),
% 18.49/18.91 'v_b' [230, 0] (w:1, o:105, a:1, s:1, b:0),
% 18.49/18.91 'v_c' [231, 0] (w:1, o:106, a:1, s:1, b:0).
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Starting Search:
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 5547
% 18.49/18.91 Kept: 2001
% 18.49/18.91 Inuse: 177
% 18.49/18.91 Deleted: 10
% 18.49/18.91 Deletedinuse: 0
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 13897
% 18.49/18.91 Kept: 4515
% 18.49/18.91 Inuse: 234
% 18.49/18.91 Deleted: 12
% 18.49/18.91 Deletedinuse: 0
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 24600
% 18.49/18.91 Kept: 6988
% 18.49/18.91 Inuse: 297
% 18.49/18.91 Deleted: 14
% 18.49/18.91 Deletedinuse: 0
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 35113
% 18.49/18.91 Kept: 9390
% 18.49/18.91 Inuse: 333
% 18.49/18.91 Deleted: 15
% 18.49/18.91 Deletedinuse: 0
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 48597
% 18.49/18.91 Kept: 12103
% 18.49/18.91 Inuse: 355
% 18.49/18.91 Deleted: 15
% 18.49/18.91 Deletedinuse: 0
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 60442
% 18.49/18.91 Kept: 14412
% 18.49/18.91 Inuse: 400
% 18.49/18.91 Deleted: 16
% 18.49/18.91 Deletedinuse: 0
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 73937
% 18.49/18.91 Kept: 16485
% 18.49/18.91 Inuse: 427
% 18.49/18.91 Deleted: 17
% 18.49/18.91 Deletedinuse: 0
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 82825
% 18.49/18.91 Kept: 18511
% 18.49/18.91 Inuse: 457
% 18.49/18.91 Deleted: 21
% 18.49/18.91 Deletedinuse: 2
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 93347
% 18.49/18.91 Kept: 20644
% 18.49/18.91 Inuse: 477
% 18.49/18.91 Deleted: 21
% 18.49/18.91 Deletedinuse: 2
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying clauses:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 107873
% 18.49/18.91 Kept: 22735
% 18.49/18.91 Inuse: 517
% 18.49/18.91 Deleted: 129
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 115010
% 18.49/18.91 Kept: 25473
% 18.49/18.91 Inuse: 528
% 18.49/18.91 Deleted: 129
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 129595
% 18.49/18.91 Kept: 27479
% 18.49/18.91 Inuse: 561
% 18.49/18.91 Deleted: 129
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 141653
% 18.49/18.91 Kept: 29551
% 18.49/18.91 Inuse: 602
% 18.49/18.91 Deleted: 129
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 153341
% 18.49/18.91 Kept: 31587
% 18.49/18.91 Inuse: 648
% 18.49/18.91 Deleted: 130
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 163161
% 18.49/18.91 Kept: 33609
% 18.49/18.91 Inuse: 659
% 18.49/18.91 Deleted: 130
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 174860
% 18.49/18.91 Kept: 35762
% 18.49/18.91 Inuse: 686
% 18.49/18.91 Deleted: 130
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 188860
% 18.49/18.91 Kept: 37821
% 18.49/18.91 Inuse: 716
% 18.49/18.91 Deleted: 130
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91
% 18.49/18.91 Intermediate Status:
% 18.49/18.91 Generated: 201187
% 18.49/18.91 Kept: 39890
% 18.49/18.91 Inuse: 746
% 18.49/18.91 Deleted: 130
% 18.49/18.91 Deletedinuse: 5
% 18.49/18.91
% 18.49/18.91 Resimplifying inuse:
% 18.49/18.91 Done
% 18.49/18.91
% 18.49/18.91 Resimplifying clauses:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 215454
% 50.08/50.44 Kept: 41904
% 50.08/50.44 Inuse: 790
% 50.08/50.44 Deleted: 256
% 50.08/50.44 Deletedinuse: 5
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 239533
% 50.08/50.44 Kept: 44811
% 50.08/50.44 Inuse: 806
% 50.08/50.44 Deleted: 256
% 50.08/50.44 Deletedinuse: 5
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 255501
% 50.08/50.44 Kept: 46920
% 50.08/50.44 Inuse: 831
% 50.08/50.44 Deleted: 256
% 50.08/50.44 Deletedinuse: 5
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 265279
% 50.08/50.44 Kept: 49916
% 50.08/50.44 Inuse: 837
% 50.08/50.44 Deleted: 257
% 50.08/50.44 Deletedinuse: 6
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 274244
% 50.08/50.44 Kept: 51936
% 50.08/50.44 Inuse: 853
% 50.08/50.44 Deleted: 257
% 50.08/50.44 Deletedinuse: 6
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 288216
% 50.08/50.44 Kept: 54020
% 50.08/50.44 Inuse: 877
% 50.08/50.44 Deleted: 267
% 50.08/50.44 Deletedinuse: 7
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 298412
% 50.08/50.44 Kept: 56283
% 50.08/50.44 Inuse: 885
% 50.08/50.44 Deleted: 289
% 50.08/50.44 Deletedinuse: 7
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 311907
% 50.08/50.44 Kept: 58394
% 50.08/50.44 Inuse: 893
% 50.08/50.44 Deleted: 297
% 50.08/50.44 Deletedinuse: 7
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 336486
% 50.08/50.44 Kept: 61287
% 50.08/50.44 Inuse: 900
% 50.08/50.44 Deleted: 299
% 50.08/50.44 Deletedinuse: 7
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying clauses:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 352986
% 50.08/50.44 Kept: 63414
% 50.08/50.44 Inuse: 916
% 50.08/50.44 Deleted: 627
% 50.08/50.44 Deletedinuse: 7
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 364272
% 50.08/50.44 Kept: 65422
% 50.08/50.44 Inuse: 945
% 50.08/50.44 Deleted: 628
% 50.08/50.44 Deletedinuse: 8
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 382931
% 50.08/50.44 Kept: 68735
% 50.08/50.44 Inuse: 975
% 50.08/50.44 Deleted: 628
% 50.08/50.44 Deletedinuse: 8
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 394885
% 50.08/50.44 Kept: 70752
% 50.08/50.44 Inuse: 998
% 50.08/50.44 Deleted: 628
% 50.08/50.44 Deletedinuse: 8
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 407696
% 50.08/50.44 Kept: 72845
% 50.08/50.44 Inuse: 1023
% 50.08/50.44 Deleted: 631
% 50.08/50.44 Deletedinuse: 9
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 421301
% 50.08/50.44 Kept: 74937
% 50.08/50.44 Inuse: 1052
% 50.08/50.44 Deleted: 632
% 50.08/50.44 Deletedinuse: 9
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 456714
% 50.08/50.44 Kept: 79189
% 50.08/50.44 Inuse: 1072
% 50.08/50.44 Deleted: 632
% 50.08/50.44 Deletedinuse: 9
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 469971
% 50.08/50.44 Kept: 81400
% 50.08/50.44 Inuse: 1102
% 50.08/50.44 Deleted: 632
% 50.08/50.44 Deletedinuse: 9
% 50.08/50.44
% 50.08/50.44 Resimplifying clauses:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 483552
% 50.08/50.44 Kept: 83582
% 50.08/50.44 Inuse: 1132
% 50.08/50.44 Deleted: 852
% 50.08/50.44 Deletedinuse: 10
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 497336
% 50.08/50.44 Kept: 85726
% 50.08/50.44 Inuse: 1167
% 50.08/50.44 Deleted: 852
% 50.08/50.44 Deletedinuse: 10
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 510988
% 50.08/50.44 Kept: 87911
% 50.08/50.44 Inuse: 1197
% 50.08/50.44 Deleted: 852
% 50.08/50.44 Deletedinuse: 10
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 535608
% 50.08/50.44 Kept: 91619
% 50.08/50.44 Inuse: 1225
% 50.08/50.44 Deleted: 866
% 50.08/50.44 Deletedinuse: 12
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 542112
% 50.08/50.44 Kept: 93648
% 50.08/50.44 Inuse: 1226
% 50.08/50.44 Deleted: 871
% 50.08/50.44 Deletedinuse: 17
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 551099
% 50.08/50.44 Kept: 95707
% 50.08/50.44 Inuse: 1233
% 50.08/50.44 Deleted: 871
% 50.08/50.44 Deletedinuse: 17
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 567664
% 50.08/50.44 Kept: 99874
% 50.08/50.44 Inuse: 1240
% 50.08/50.44 Deleted: 871
% 50.08/50.44 Deletedinuse: 17
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44
% 50.08/50.44 Intermediate Status:
% 50.08/50.44 Generated: 577083
% 50.08/50.44 Kept: 102351
% 50.08/50.44 Inuse: 1245
% 50.08/50.44 Deleted: 871
% 50.08/50.44 Deletedinuse: 17
% 50.08/50.44
% 50.08/50.44 Resimplifying inuse:
% 50.08/50.44 Done
% 50.08/50.44
% 50.08/50.44 Resimplifying clauses:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 588756
% 108.97/109.37 Kept: 104521
% 108.97/109.37 Inuse: 1255
% 108.97/109.37 Deleted: 1685
% 108.97/109.37 Deletedinuse: 17
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 601363
% 108.97/109.37 Kept: 106617
% 108.97/109.37 Inuse: 1285
% 108.97/109.37 Deleted: 1685
% 108.97/109.37 Deletedinuse: 17
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 613829
% 108.97/109.37 Kept: 108995
% 108.97/109.37 Inuse: 1300
% 108.97/109.37 Deleted: 1685
% 108.97/109.37 Deletedinuse: 17
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 626890
% 108.97/109.37 Kept: 111833
% 108.97/109.37 Inuse: 1310
% 108.97/109.37 Deleted: 1686
% 108.97/109.37 Deletedinuse: 18
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 640789
% 108.97/109.37 Kept: 113845
% 108.97/109.37 Inuse: 1325
% 108.97/109.37 Deleted: 1687
% 108.97/109.37 Deletedinuse: 19
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 648780
% 108.97/109.37 Kept: 117370
% 108.97/109.37 Inuse: 1335
% 108.97/109.37 Deleted: 1687
% 108.97/109.37 Deletedinuse: 19
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 665506
% 108.97/109.37 Kept: 121192
% 108.97/109.37 Inuse: 1340
% 108.97/109.37 Deleted: 1687
% 108.97/109.37 Deletedinuse: 19
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying clauses:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 680208
% 108.97/109.37 Kept: 123507
% 108.97/109.37 Inuse: 1370
% 108.97/109.37 Deleted: 1994
% 108.97/109.37 Deletedinuse: 19
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 705924
% 108.97/109.37 Kept: 126228
% 108.97/109.37 Inuse: 1385
% 108.97/109.37 Deleted: 1994
% 108.97/109.37 Deletedinuse: 19
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 723658
% 108.97/109.37 Kept: 128499
% 108.97/109.37 Inuse: 1420
% 108.97/109.37 Deleted: 1995
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 737115
% 108.97/109.37 Kept: 130947
% 108.97/109.37 Inuse: 1445
% 108.97/109.37 Deleted: 1995
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 747722
% 108.97/109.37 Kept: 133050
% 108.97/109.37 Inuse: 1450
% 108.97/109.37 Deleted: 1995
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 757616
% 108.97/109.37 Kept: 135067
% 108.97/109.37 Inuse: 1455
% 108.97/109.37 Deleted: 1995
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 767757
% 108.97/109.37 Kept: 137676
% 108.97/109.37 Inuse: 1460
% 108.97/109.37 Deleted: 1995
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 779355
% 108.97/109.37 Kept: 140366
% 108.97/109.37 Inuse: 1465
% 108.97/109.37 Deleted: 1995
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 790593
% 108.97/109.37 Kept: 142866
% 108.97/109.37 Inuse: 1470
% 108.97/109.37 Deleted: 1995
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying clauses:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 802162
% 108.97/109.37 Kept: 145403
% 108.97/109.37 Inuse: 1475
% 108.97/109.37 Deleted: 2210
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 819258
% 108.97/109.37 Kept: 149675
% 108.97/109.37 Inuse: 1485
% 108.97/109.37 Deleted: 2210
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 831500
% 108.97/109.37 Kept: 152510
% 108.97/109.37 Inuse: 1490
% 108.97/109.37 Deleted: 2210
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 842420
% 108.97/109.37 Kept: 155317
% 108.97/109.37 Inuse: 1495
% 108.97/109.37 Deleted: 2210
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 851818
% 108.97/109.37 Kept: 159175
% 108.97/109.37 Inuse: 1505
% 108.97/109.37 Deleted: 2210
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 857323
% 108.97/109.37 Kept: 161393
% 108.97/109.37 Inuse: 1510
% 108.97/109.37 Deleted: 2210
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying clauses:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 868810
% 108.97/109.37 Kept: 163676
% 108.97/109.37 Inuse: 1530
% 108.97/109.37 Deleted: 2330
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 880548
% 108.97/109.37 Kept: 165835
% 108.97/109.37 Inuse: 1550
% 108.97/109.37 Deleted: 2330
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 Generated: 892007
% 108.97/109.37 Kept: 168346
% 108.97/109.37 Inuse: 1570
% 108.97/109.37 Deleted: 2330
% 108.97/109.37 Deletedinuse: 20
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37 Resimplifying inuse:
% 108.97/109.37 Done
% 108.97/109.37
% 108.97/109.37
% 108.97/109.37 Intermediate Status:
% 108.97/109.37 GCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------